Verification involves comparison with experimental data.A) TrueB) False
Answers
A) True.
Verification is the process of determining whether a computational model accurately represents the real-world system it is intended to simulate.
Verification is an important step in the process of developing and evaluating computational models. The goal of verification is to determine whether a model is accurately representing the real-world system it is intended to simulate. This is important because if a model is not accurate, it can lead to incorrect predictions and decisions.
Verification involves comparing the output of a computational model with experimental data collected from the real system. This comparison can take many forms, depending on the type of model and the nature of the experimental data. In some cases, the comparison may involve a direct quantitative comparison between the model output and the experimental data. In other cases, the comparison may be more qualitative, involving an assessment of whether the model output captures the key features of the experimental data.
The process of verification can be iterative, involving multiple rounds of model refinement and comparison with experimental data. This is particularly important for complex systems, where small errors or uncertainties in the model can have significant impacts on the accuracy of the predictions.
Overall, verification is an important step in the process of model development and evaluation, helping to ensure that computational models are accurate and reliable tools for predicting real-world behavior.
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Related Questions
What is an example of transitive property of congruence?
Answers
For example, according to the transitive property of congruence, angle A is congruent to angle C if A is congruent to angle B and angle B is congruent to angle C.
In the given question, we have to explain an example of transitive property of congruence.
The transitive property of congruence states that if two sets of lines, angles, or triangles are congruent with a third set, then the first set of lines, angles, or triangles is also congruent with the third set.
For example, according to the transitive property of congruence, angle A is congruent to angle C if A is congruent to angle B and angle B is congruent to angle C.
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someone answer this correctly please, I’ll give you brainliest and your getting 50 points someone answer this no fraud answers don’t be weird.
Answers
The proof of the congruent sides RU and TS is given below.
What is congruent triangles?
In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.
Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.
Let the given figure is a rectangle RSTU.
Since the all four angles of rectangle are of 90 degree.
So, each angle of rectangle RSTU is 90 degree.
Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.
Both the triangles having same measure of angles and sides.
⇒ ΔSRU ≅ ΔSTU
As the triangles are congruent so their sides are congruent.
Hence, RU is congruent to TS.
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What is the equation of the line that passes through the point (-3,4) and has a slope of zero?
Answers
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1, thus
y = x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = x + 7 ← equation of line
Hope this helps.
(3+√3) x (2+√2) gr 9 maths sum from number system ans fast pls
Answers
(3+√3) x (2+√2)
6 + 3√2 + 2√3 + √3√2
6 + 3√2 + 2√3 + √6
Answer:
6 + 2√3 + 3√2 + √6
Step-by-step explanation:
The equation :
(3 + √3)(2 + √2)
Using Distributive Property,
3(2) + √3(2) + 3(√2) + (√3)(√2)6 + 2√3 + 3√2 + √6Find the prime factorization of 25,36,117,3825?
Answers
Answer:
Step-by-step explanation:
25 = 5 * 5
36 = 2*2*3*3
117 = 3*3*13
3825 = 5*5*3*3*17
The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?
Answers
Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.
Which equation shows the number of years till 900 acres are remaining?As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.
The right side of the equation would be:
= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years
= 3,400 x ( 1 - 17.3%) ^ number of years
Putting them together:
900 = 3,400(0.827)^t.
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which angle are a pair of alternate exterior angles
A. Angle 4 and angle 6
B. Angle 3 and angle 6
C. Angle 2 and angle 8
D. Angle 1 and angle 5
Answers
A. Angle 4 and angle 6 are a pair of alternate exterior angles
The pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
What are Alternate Exterior Angles?Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.
Thus, in the image given, we have the following alternate exterior angles:
∠2 and ∠8∠1 and ∠7Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
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What are the first five terms, a1, a2, a3, a4, a5, of the sequence defined by a subscript n = startfraction n squared minus 9 over n cubed 3 endfraction, and how can the sequence be described?
Answers
The first five terms of the given sequence are:
a1 = -2
a2 = -5/11
a3 = 0
a4 = 7/67
a5 = 1/8
Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
For given question,
We have been given a sequence \(a_n=\frac{n^2-9}{n^3+3}\)
We need to find the first five terms, a1, a2, a3, a4, a5, of the sequence.
For n = 1,
\(a_1=\frac{1^2-9}{1^3+3} \\\\a_1=\frac{-8}{4} \\\\a_1=-2\)
For n = 2,
\(a_2=\frac{2^2-9}{2^3+3}\\\\ a_2=\frac{-5}{11}\)
For n = 3,
\(a_3=\frac{3^2-9}{3^3+3} \\\\a_3=\frac{0}{30}\\\\ a_3=0\)
For n = 4,
\(a_4=\frac{4^2-9}{4^3+3} \\\\a_4=\frac{7}{67}\)
For n = 5,
\(a_5=\frac{5^2-9}{5^3+3} \\\\a_5=\frac{16}{128}\\\\ a_5=\frac{1}{8}\)
Given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
Therefore, the first five terms of the given sequence are:
a1 = -2
a2 = -5/11
a3 = 0
a4 = 7/67
a5 = 1/8
Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
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Which side is opposite 0
Answers
The value of opposite side of angle θ would be,
⇒ EF
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that,
A right triangle EFD is shown in figure.
And, At angle E, right angle is shown.
We know that;
The Opposite side of a angle is called perpendicular side.
Hence, The value of opposite side of angle θ would be,
⇒ EF
Thus, Option A is true.
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a container full of vegetable oil is slowly leaking at a constant rate. after hours, liters of oil remained in the container. after hours, liters of oil remained in the container. let represent the remaining amount of oil in the container and let represent the elapsed time (in hours). write a linear equation to estimate the remaining amount of oil based on the elapsed time. express numbers as decimals or integers.
Answers
For every hour that passes, the container loses 1.5 liters of oil.
To write a linear equation to estimate the remaining amount of oil based on the elapsed time, we can use the slope-intercept form of a linear equation, y = mx + b, where y represents the remaining amount of oil, x represents the elapsed time, m represents the slope of the line, and b represents the y-intercept.
Since the container is leaking at a constant rate, we can assume that the slope of the line is constant. We can find the slope by using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) represents the first data point (hours, liters of oil), and (x2, y2) represents the second data point.
Using the given data, we have:
m = (y2 - y1) / (x2 - x1)
m = (4.5 - 6) / (2 - 1)
m = -1.5
This means that for every hour that passes, the container loses 1.5 liters of oil.
To find the y-intercept, we can use one of the data points and solve for b:
y = mx + b
6 = (-1.5)(1) + b
b = 7.5
This means that at time zero (when no time has elapsed), there are 7.5 liters of oil remaining in the container.
Therefore, the linear equation to estimate the remaining amount of oil based on the elapsed time is:
y = -1.5x + 7.5
This equation tells us that as time passes, the amount of oil in the container decreases at a constant rate of 1.5 liters per hour. The y-intercept of 7.5 represents the initial amount of oil in the container before any time has elapsed.
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When Debbie finished page 78, she was ; of the way through her book. (a) How many pages are in her book? (b) How many pages does she have left to read?
Answers
Answer: Book has 130 Pages, pages left 52
Step-by-step explanation:
If 3/5 = 78 pages
5/5 = 78/3 ×5/1 = 390/ 3 = 130 pages
Pages left is 130- 78 = 52 Pages
a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future value of the investment in dollars after t years. f(t)
Answers
The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t
Give, a lump sum of $2000 is invested at 4.2% compounded continuously.
Hence we have:
P = $2000
rate of interest = 4.2%
years = t
we know that A = Pe^rt
Substitute the above values in the formula.
Amount = f(t)
f(t) = 2000.e⁰·°⁴²t
hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t
Therefore we get the required function.
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The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answers
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mSelect the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
Answers
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint a design. He has 14 tubes of blue paint and 20 tubes of yellow paint when he starts.
On day 1, he mixes 4 tubes of blue and 6 tubes of yellow.
On day 2, he mixes 6 tubes of blue and 9 tubes of yellow.
He wants the same green color every time he mixes, so the amounts of blue and yellow should always be proportional to those in the original mixture.
Complete the questions to determine if his mixtures for days 1 and 2 represent a proportional relationship. Then find the highest number of tubes of each color Marc can mix to make the same original shade of green on day 3.
1. What are the ratios of blue paint to yellow paint in the mixtures for days 1 and 2?
Do these ratios represent a proportional relationship? (2 points)
2. How much blue paint did Marc use in total on days 1 and 2? How much yellow paint? (2 points)
3. How many tubes of each type of paint does Marc have left for day 3? (3 points)
4. Marc wants to use the same green for day 3's mixture, so the amounts must be proportional to those in the original mixture. What are the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3? Assume he mixes only whole tubes of paint. (3 points)
also im sorry this question is so long i really need to get this done before 4 pm please help asap! please and thank you :)
Answers
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
We have,
1.
The ratios of blue paint to yellow paint in the mixtures for days 1 and 2 are as follows:
For day 1: 4 tubes of blue to 6 tubes of yellow, which simplifies to 2:3.
For day 2: 6 tubes of blue to 9 tubes of yellow, which also simplifies to 2:3.
Yes, these ratios represent a proportional relationship because they reduce to the same simplified ratio of 2:3.
2.
To calculate the total amount of blue paint and yellow paint used on days 1 and 2:
For day 1: 4 tubes of blue + 6 tubes of yellow = 10 tubes of paint in total.
For day 2: 6 tubes of blue + 9 tubes of yellow = 15 tubes of paint in total.
Therefore,
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total.
3.
To determine the number of tubes of each type of paint Marc has left for day 3:
Blue paint: Marc started with 14 tubes of blue paint and used 10 tubes, so he has 14 - 10 = 4 tubes of blue paint left.
Yellow paint: Marc started with 20 tubes of yellow paint and used 15 tubes, so he has 20 - 15 = 5 tubes of yellow paint left.
Therefore, Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
4.
To find the greatest number of tubes of blue and yellow paint Marc can mix on day 3 while maintaining the same proportional ratio:
Since the ratio of blue paint to yellow paint in the original mixture is 2:3, Marc needs to multiply both numbers by the same factor to find the greatest number of tubes he can mix.
The highest common factor of 4 (tubes of blue paint) and 5 (tubes of yellow paint) is 1.
So, Marc can mix 4 tubes of blue paint and 5 tubes of yellow paint on day 3 while maintaining the same original shade of green.
Therefore, the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
Thus,
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
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y=-2(x + 1)2+3
write in standard form
Answers
y = -2(x + 1)² + 3
y = -2(x² + 2x + 1) + 3
y = -2x² - 4x - 2 + 3
y = -2x² - 4x + 1
Answer:
4x + y = -1
just simplify then re-write
hope this helped
True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
Answers
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
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if the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
Answers
The area in which the goat can haze inside the land with the shape of a triangle ABC = 16m²
How to calculate the area of a triangle?The formula that is used to calculate the area of a triangle = 1/2 base ×height.
where base of a triangle = 4m
The height of the triangle = 8m
The area of the triangle = 1/2× 4× 8
= 16m².
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Complete question:
An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse.if the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
The area in which the goat can haze inside the land ABC is; 16m²
How to calculate the area of a triangle?The formula that is usually applied to calculate the area of a triangle is expressed as;
Area = ¹/₂ * base * height.
The parameters are;
Base of a triangle = 4m
Height of the triangle = 8m
Thus,
Area of the triangle ABC = ¹/₂ * 4 * 8
Area = 16m².
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Complete question is:
An unfenced grassland is in the form of a right triangle ABC with AB=4m, BC=8m, and AC as the hypotenuse. If the land was fenced on sides ab and bc, determine the area in which the goat can graze inside the land abc.
Melanie went into a grocery store and bought 6 peaches and 8 mangos, costing a total of $14.50. Jaya went into the same grocery store and bought 7 peaches and 4 mangos, costing a total of $14.25. Write a system of equations that could be used to determine the price of each peach and the price of each mango. Define the variables that you use to write the system.
Answers
Answer:
Mango = 0.5, Peach = 1.75
Step-by-step explanation:
Let x represent the price of mango
Let y represent the price of peach
Melanie: 8x + 6y = 14.50
Jaya: 4x + 7y = 14.25
Isolate for a variable in one of the equations (just pick a random one, you don't have to pick mine)
4x + 7y = 14.25 => x = (14.25 - 7y)/4 = 3.5625 - 7/4y
Plug into other equation
8x + 6y = 14.50
8(3.5625 - 7/4y) + 6y = 14.5
28.5 - 14y + 6y = 14.5
28.5 - 14.5 = 14y - 6y
14 = 8y
y = 1.75
4x + 7y = 14.25
4x + 7(1.75) = 14.25
4x + 12.25 = 14.25
4x = 2
x = 0.5
1. The scatter plot shows July temperature data for some Ontario communities.
a) One data point is for Fort Frances, at latitude 48°N. Average Daily Maximum Temperature in July
What is the average daily maximum temperature in
Fort Frances in July?
b) How many of the communities represented on this
graph have average daily maximum temperatures
greater than 22°C? What are their latitudes?
c) Is there a relationship between the two variables?
Identify the two variables and explain your answer.
Temperature (°C)
24
23-
22
21
20-
19-
18-
17
16-
15
14
.
40 42 44 46 48 50 52 54
Latitude (N)
Answers
a.) Based on the scatter plot, the estimated average daily maximum temperature in Fort Frances in July is around 25°C.
b) There are four communities with average daily maximum temperatures greater than 22°C. Their latitudes are approximately:
Toronto: 44°N
Windsor: 42°N
London: 43°N
Ottawa: 45°N
c.)
. Based on the scatter plot, there seems to be a relationship between latitude and temperature .
As latitude increases, temperature generally decreases because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler.
What is latitude?Latitude is described as a coordinate that specifies the north–south position of a point on the surface of the Earth or another celestial body.
there are some exceptions to this general trend that states that as latitude increases, temperature decreases because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler. which could be due to other factors such as elevation, proximity to water, or local weather patterns.
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a projectile is shot straight up from the earth's surface at a speed of 1.30×104 km/hr. How high does it go?
Answers
Therefore, the projectile goes approximately 6.9 × 10^6 meters or 6,900 kilometers high.
Let's first convert the initial speed from km/hr to m/s to be consistent with the unit of acceleration due to gravity.
1.30×10^4 km/hr = (1.30×10^4 × 1000 m/km) / (3600 s/hr) = 3611.11 m/s
We can use the kinematic equation: Δy = v0t + 1/2at^2 to determine the maximum height reached by the projectile. At the highest point, the velocity is zero, so we can use the fact that v = v0 + at = 0 to find the time it takes to reach the maximum height.
v0 = 3611.11 m/s (initial velocity)
a = -9.81 m/s^2 (acceleration due to gravity)
t = -v0/a = -3611.11/(-9.81) = 367.97 s (time to reach maximum height)
Now we can use the time to find the maximum height reached:
Δy = v0t + 1/2at^2 = 3611.11 × 367.97 + 1/2 × (-9.81) × (367.97)^2 ≈ 6.9 × 10^6 meters
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what is the full meaning of CCTV
Answers
The full meaning of CCTV is Closed-Circuit Television. It refers to a system of video cameras and monitors that are used for surveillance and security purposes. The cameras capture live video footage, which is then transmitted to a set of monitors or a central control room for viewing. The cameras are connected to the monitors through a closed circuit, meaning that the signal is not broadcast publicly and can only be viewed by authorized individuals. CCTV systems are commonly used in homes, businesses, and public spaces to deter crime and provide a record of events.
What is the density?Mass = 8.8 grams Volume = 8 cm
Answers
We have that density is the ammount of mass in a given space, from that we get:
\(\rho=\frac{8.8}{8}\Rightarrow\rho=\frac{11}{10}\Rightarrow\rho=1.1\)Where p is density, we have that the density of the substance is 1.1 gram per cubic centimiter.
Find the area of a triangle with sides of length 7 and 9 and included angle 72 degree.
Answers
Answer:
A = 29.96
Step-by-step explanation:
Area of a triangle
Side Angle Side (SAS) Method :
Given a triangle with two known sides a and b, and their included angle C, the area can be calculated as follows:
\(\displaystyle A=\frac{a.b.\sin(C)}{2}\)
The triangle has sides of lengths a=7 and b=9 and their included angle is C=72°. Substituting:
\(\displaystyle A=\frac{7\cdot 9.\sin(72^\circ)}{2}\)
A = 29.96
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
1
6
8
9
Answers
Answer:
8
Step-by-step explanation:
x²-6x+1 +8=x²-6x+9=(x-3)²
let $apqrs$ be a pyramid, where the base $pqrs$ is a square of side length $20$. the total surface area of pyramid $apqrs$ (including the base) is $1200$. let $w$, $x$, $y$, and $z$ be the midpoints of $\overline{ap}$, $\overline{aq}$, $\overline{ar}$, and $\overline{as}$, respectively. find the total surface area of solid $pqrswxyz$ (including the bases). (this solid is called a frustum.)
Answers
The total surface area of solid $pqrswxyz$ is $1300$ square units
The total surface area of the frustum $pqrswxyz$ can be found by adding the surface areas of the two bases, the lateral surface area of the frustum, and the surface areas of the four triangular faces formed by connecting the midpoints of the edges of the square base.
To find the total surface area of the frustum $pqrswxyz$, we need to calculate the surface areas of its components and add them together.
1. Bases: The frustum has two bases, the larger square base $pqrs$ and the smaller square base $wxyz$. The surface area of a square is given by $s^2$, where $s$ is the length of its side. Therefore, the surface area of the larger base is $20^2 = 400$, and the surface area of the smaller base is $(20/2)^2 = 100$.
2. Lateral Surface Area: The lateral surface area of the frustum is the sum of the areas of the four trapezoidal faces. Each trapezoid can be divided into two triangles and a rectangle. The area of a trapezoid is given by the formula $\frac{1}{2}(a + b)h$, where $a$ and $b$ are the lengths of the parallel sides and $h$ is the height. In this case, the height of the frustum is the same as the height of the pyramid, which is the distance from the apex to the base. Since the pyramid's total surface area is given as $1200$, the lateral surface area of the frustum is $1200 - 400 - 2(100) = 600$.
3. Triangular Faces: The frustum has four triangular faces formed by connecting the midpoints of the edges of the square base. Each triangular face is an isosceles right triangle with legs of length $10$ (half the side length of the base). The area of an isosceles right triangle is $\frac{1}{2}(a^2)$, where $a$ is the length of the legs. Therefore, the total surface area of the four triangular faces is $4 \cdot \frac{1}{2}(10^2) = 200$.
Finally, we add up the surface areas of the bases, the lateral surface area, and the triangular faces to find the total surface area of the frustum:
Total Surface Area = Base 1 + Base 2 + Lateral Surface Area + Triangular Faces
= 400 + 100 + 600 + 200
= 1300
Hence, the total surface area of solid $pqrswxyz$ is $1300$ square units.
Learn more about surface area of pyramid here:
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What is 65% of 40?Answer in percent
Answers
Answer:
0.65*40
Step-by-step explanation: 65% of 40 is 26
Answer:
26%
Step-by-step explanation:
65%*40
.65*40
.26
26%
The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 78% of the carbon-14 expected in living matter, when did the tree die?
Answers
Answer:
2,700 years
Explanation:
We were given the following details:
Half-life of carbon-14, T = 5600 years
78% of carbon-14 is left. This indicates that the amount of carbon-14 left is 78% of the initial amount:
\(0.78\times A_0\)We will calculate the time since when the tree died as shown below:
\(\begin{gathered} 0.78\times A_0=A_0\times(0.5)^{\frac{t}{T}} \\ T=5600years \\ t=? \\ \text{Substitute the variables into the formula, we have:} \\ 0.78=(0.5)^{\frac{t}{5600}} \\ \text{Take the natural logarithm of both sides, we have:} \\ ln(0.78)=\frac{t}{5600}\times ln(0.5) \\ \text{Make ''t'' the subject of the formula, we have:} \\ t=5600\times\frac{ln(0.78)}{ln(0.5)} \\ t=5600\times0.35845397091 \\ t=2007.34223711\approx2007 \\ t=2,007years \end{gathered}\)Therefore, the tree died 2,700 years ago
3/20 plus 3/5=\(3/20 plus3/5\)
Answers
Is the triangle below a right, acute, or an obtuse triangle?
PLEASEEEE HELP ME OUT BRO
Answers
Answer:
a right triangle
Step-by-step explanation:
because if you rotate your head, then you can see that the top is at a 90 degree angle