Answer:
I'm a little rusty on this type of math, but I'll answer to the best of my ability.
Step-by-step explanation:
They will be similar. I have no idea on the scale factor, and the angle pair is DAC = EAB
I'm sorry I couldn't help more.
Answer:
DAC=EAB
HOPE IT HELPS..........
3.Find the area of Triangle and Parallelogram having base 13.5cm and height is 18cm.
\(\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height\)
\(\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)\)
\(\\ \sf\longmapsto Area=9(13.5)\)
\(\\ \sf\longmapsto Area=121.5cm^2\)
A pt has a dead space tidal volume ratio of .65. What is the dead space volume if the tidal volume is 700 ?
If the dead space tidal volume ratio is 0.65 and the tidal volume is 700, the dead space volume would be 455 mL. Dead space volume is calculated by multiplying the tidal volume by the dead space tidal volume ratio.
The dead space tidal volume ratio represents the proportion of the tidal volume that does not participate in gas exchange. To calculate the dead space volume, we multiply the tidal volume by the dead space tidal volume ratio.
Given that the dead space tidal volume ratio is 0.65 and the tidal volume is 700 mL, we can calculate the dead space volume as follows:
Dead space volume = Tidal volume * Dead space tidal volume ratio
Dead space volume = 700 mL * 0.65
Dead space volume = 455 mL
Therefore, the dead space volume would be 455 mL. This means that out of the total tidal volume of 700 mL, 455 mL does not participate in gas exchange and represents the dead space volume.
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evaluate ∮cxdx ydyx2 y2, where c is any jordan curve whose interior does not contain the origin, traversed counterclockwise. ∮cxdx ydyx2 y2=
The value of the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, is 0.
To evaluate the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, we can apply Green's theorem.
Green's theorem states that for a vector field F = P(x, y) i + Q(x, y) j, and a simple closed curve C with positively oriented boundary, the line integral of F along C is equal to the double integral of the curl of F over the region enclosed by C.
In this case, the vector field F = x i + y j, and the line integral becomes ∮c x dx + y dy / \((x^2 + y^2)\) = ∬R curl(F) dA.
The curl of F is given by curl(F) = (∂Q/∂x - ∂P/∂y) k = (1 - 1) k = 0.
Since the curl of F is zero, the line integral becomes ∬R 0 dA = 0.
Therefore, the value of the line integral ∮c x dx + y dy / \((x^2 + y^2)\), where c is any Jordan curve whose interior does not contain the origin, traversed counterclockwise, is 0.
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A 20 foot ladder leans against the a house forming a 75° angle with the house. Exactly how far is the base of the ladder from the house?
Check the picture below.
Make sure your calculator is in Degree mode.
a. find the 30th percentile for the standard normal distribution b. find the 30th percentile for a normal distribution with mean 10 and std. dev. 1.5
a. To find the 30th percentile for the standard normal distribution, we first need to locate the z-score that corresponds to this percentile. We can use a standard normal distribution table or a calculator to find this value. From the table, we can see that the z-score that corresponds to the 30th percentile is approximately -0.524. Therefore, the 30th percentile for the standard normal distribution is z = -0.524.
b. To find the 30th percentile for a normal distribution with mean 10 and standard deviation 1.5, we can use the formula for transforming a standard normal distribution to a normal distribution with a given mean and standard deviation. This formula is:
z = (x - μ) / σ
where z is the standard normal score, x is the raw score, μ is the mean, and σ is the standard deviation.
To find the 30th percentile for this distribution, we first need to find the corresponding z-score using the formula above:
-0.524 = (x - 10) / 1.5
Multiplying both sides by 1.5, we get:
-0.786 = x - 10
Adding 10 to both sides, we get:
x = 9.214
Therefore, the 30th percentile for a normal distribution with mean 10 and standard deviation 1.5 is x = 9.214. This means that 30% of the observations in this distribution are below 9.214.
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Find the volume of the prism.
The volume is _ cubic centimeters.
Answer: 1.3125 cubic centimeters
Step-by-step explanation:
7/4 is 1.75
3/2 is 1.5
1/2 is 0.5
So 1.75 times 1.5 times 0.5 is 1.3125
1.3125 = \(1\frac{5}{16}\)
The 1972 andes flight disaster how do descriptions of the setting contribute to the central ideas of the article
Descriptions of the setting in the article about the 1972 Andes flight disaster contribute to the central ideas by creating a sense of isolation, harsh conditions, and the immense challenges faced by the survivors. These descriptions help emphasize the themes of resilience, survival, and the human capacity to endure extreme circumstances.
In the article about the 1972 Andes flight disaster, descriptions of the setting play a crucial role in conveying the central ideas. The article highlights the desolate and remote nature of the crash site, situated in the harsh and unforgiving Andes Mountains. The descriptions of the snow-covered peaks, freezing temperatures, and vast stretches of uninhabited land contribute to a sense of isolation and the immense challenges faced by the survivors.
These descriptions emphasize the themes of resilience and survival, as the survivors are portrayed as being stranded in a hostile environment with limited resources. The setting also underscores the human capacity to endure extreme circumstances, as the survivors are forced to navigate treacherous terrain, harsh weather conditions, and the constant threat of avalanches.
By vividly describing the setting, the article immerses readers in the harsh realities faced by the survivors, evoking a sense of empathy and awe for their ability to persevere. The descriptions contribute to the central ideas of the article by highlighting the extraordinary circumstances and emphasizing the indomitable human spirit in the face of adversity.
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Lana is deciding whether to buy a pool pass for the summer. A pass costs $36.00 and
$1.00 for admission each day. Without a pass, the cost is $5.00 per day. Use the
system of equations below to find the number of days, d, Lana will need to go to the
pool for the cost, c, to be the same with and without a pass.
Answer:
9 days
Step-by-step explanation:
Select the correct answer.
Which statement is false?
A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number
Answer:
I think it might be C or B
Step-by-step explanation:
Hope this helped have a nice day :)
Which side lengths form a right triangle?Choose all answers that apply:A: 4,8,12B: 2, square root of 5, 3C: 2,2,square root of 8
For three sides of a triangle to form a right angle triangle
sum of square of two sides must be equal to the squre of the longest side.
\(undefined\)What is the image point of ( − 7 , 0 ) (−7,0) after a translation left 4 units and up 1 unit?
Answer: (-12,1)
Step-by-step explanation:
1. The point (-7,0) is first translated to the left 4 units. This will result in (-12,0).
2. The point is then translated one unit up, resulting in (-12,1).
If you roll a standard six-sided die, what is the probability that you get a 1, 2, 3, 5, or 6? give your answer as a simplified fraction.
The probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is 5/6
How to find the probability of getting a 1, 2, 3, 5, or 6 when you roll a standard six-sided?The given parameters are:
Sample space = {1, 2, 3, 4, 5, 6}
So, we have
P(1) 1/6
P(2) = 1/6
P(3) = 1/6
P(5) = 1/6
P(6) = 1/6
The probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is calculated as:
P = 1/6 + 1/6 + 1/6 + 1/6 + 1/6
So, we have
P =5/6
Hence, the probability of getting 1, 2, 3, 5, or 6 when you roll a standard six-sided die is 5/6
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Match the reasons with the statements in the proof to prove AB || DC, given that AD is parallel to BC and AD = CB.
Given:
AD || BC
AD = CB
Prove:
AB || DC
1. AD || BC, AD = CB
Given
2. AC = AC
If Lines are Parallel, then Alternate Interior Angles are Equal.
3. 2 = 3
If Alternate Interior Angles are Congruent, then Lines are Parallel.
4. ACD = CAB
CPCTE (Corresponding Parts of Congruent Triangles are Equal)
5. 1 = 4
SAS (Side-Angle-Side)
6. AB || DC
Reflexive Property of Equality
Proof of AB is parallel to DC is given below.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Proof:
Draw line segment BD, connecting points B and D.Definition of parallel lines.
Since AD || BC and AD = CB, we have triangle ABD and triangle CBD congruent by side-side-side congruence.Triangle congruence implies corresponding angles are congruent.
Therefore, angle ABD = angle CBD, and angle ABD + angle CBD = 180 degrees, which means angle ABC = 180 - (angle ABD + angle CBD) = angle ADC.The sum of angles in a triangle is 180 degrees.
Since angles, ABC and ADC are alternate interior angles, and AD || BC, we have AB || DC by the alternate interior angles theorem.Alternate interior angles formed by a transversal intersecting parallel line are congruent.
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1 2/3 × 2 5/8 Give your answer as a mixed number in its simplest form.
Answer:
4 3/8
Step-by-step explanation:
hope this helps
What are the like terms in the expression 3x + 4 -2x + 5y + 4z + 5x
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
write 4687.02 in standard form
Answer:
\(4 .68702\times 10^{ 3} \)
Step-by-step explanation:
Please see attached picture for full solution.
Write the solution set of the equation x2 – 4=0 in roster form
Answer:
Step-by-step explanation:
x²-4=0
(x+2)(x-2)=0
x=-2,2
solution is x∈{-2,2}
The class party started with five chocolate cakes cut in fourths as shown below in the example.
============================================================
Explanation:
One large square cake cuts into 4 smaller slices
Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.
Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.
The fraction of the cakes eaten is 7/20
Notes:
7/20 = 35/100 = 0.35 = 35%The fraction 7/20 cannot be reduced further because 7 and 20 have no common factors other than 1.A cyclist completes a journey of 500 m in 22 seconds in two parts. The first part with the speed of 10m/s and remainder of it in 50m/s, how far did she travel in each speed
Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:
10 = d/t
d = 10t.
For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:
50 = (500 - d)/(22 - t).
Since d = 10t, and applying cross multiplication:
500 - 10t = 50(22 - t)
500 - 10t = 1100 - 50t
40t = 600
t = 600/40
t = 15.
22 - t = 22 - 15 = 7, hence:
She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.
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Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?
Answer:
Ava's altitude is 3 meters.
Step-by-step explanation:
The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.
So that applying the Pythagoras theorem, we have;
\(/hyp/^{2}\) = \(/Adj 1/^{2}\) + \(/Adj 2/^{2}\)
\(5^{2}\) = \(4^{2}\) + \(x^{2}\)
25 = 16 + \(x^{2}\)
\(x^{2}\) = 25 - 16
= 9
x = \(\sqrt{9}\)
= 3
x = 3 meters
Thus, Ava's altitude is 3 meters.
solve the cauchy problem (y+u)ux+yuy=(x-y), with u=1+x on y=1
The solution to the Cauchy problem is:
u(x,y) = x - y + e^(-(y-1))
To solve the given Cauchy problem, we can use the method of characteristics.
First, we write the system of ordinary differential equations for the characteristic curves:
dy/dt = y+u
du/dt = (x-y)/(y+u)
dx/dt = 1
Next, we need to solve these equations along with the initial condition y(0) = 1, u(0) = 1+x, and x(0) = x0.
Solving the first equation gives us y(t) = Ce^t - u(t), where C is a constant determined by the initial condition y(0) = 1. Substituting this into the second equation and simplifying, we get:
du/dt = (x - Ce^t)/(Ce^t + u)
This is a separable differential equation, which we can solve by separation of variables and integrating:
∫(Ce^t + u)du = ∫(x - Ce^t)dt
Simplifying and integrating gives us:
u(t) = x + Ce^-t - y(t)
Using the initial condition u(0) = 1+x, we find C = y(0) = 1. Substituting this into the equation above gives:
u(t) = x + e^-t - y(t)
Finally, we can solve for x(t) by integrating the third equation:
x(t) = t + x0
Now we have expressions for x, y, and u in terms of t and x0. To find the solution to the original PDE, we need to express u in terms of x and y. Substituting our expressions for x, y, and u into the PDE, we get:
(y + x0 + e^-t - y)(1) + y(Ce^t - x0 - e^-t + y) = (x - y)
Simplifying and canceling terms, we get:
Ce^t = x - x0
Substituting this into our expression for u above, we get:
u(x,y) = x - x0 + e^(-(y-1))
Therefore, the solution to the Cauchy problem is:
u(x,y) = x - y + e^(-(y-1))
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Can someone help me with this please?
Answer:
216 Minutes
Step-by-step explanation:
2x=18
x=9
Every mile is 9 minutes, so we can multiply 9 by 26:
234 minutes
But he has already ran for 18 minutes, so we can subtract:
234-18=216
Answer:
216mins
Step-by-step explanation:
first divide 2/18 by 2 to see the rate and you get 1/9 so he runs 1 mile every 9 mins. You multiply 9 by 26 to get your answer and you get 234 subtract 18 and it will take him 216 more mins
If A and B are any two events defined on a sample space S of an experiment, then p(A ∩ B) = p(A).p(B)
True or False
The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.
This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).
If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).
Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.
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The costs of repairing iPads in UAE are normally distributed with a mean of 173 Dhs. If
3%
of the costs exceed 243 Dhs, find the standard deviation of the costs. Round your answer to the nearest diham (Whole number).
The standard deviation of the costs is 37 Dhs
The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.
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What percent is represented by the shaded area?
Dana just finished paying off the $15,400 loan she took out four years ago. The loan had 6. 68% interest, compounded monthly. If Dana paid a total of $18,321. 60, how much did she pay in service charges? a. $730. 08 b. $366. 49 c. $1,028. 72 d. $266. 76.
A college teacher decided to collect information on what sports his students played in high school. He has 125 students, and found the following results when he surveyed them:
7 played softball/ baseball
5 played volleyball
3 golfed
6 played soccer
8 played football
2 were swimmers
4 played tennis
3 played soccer and softball/baseball
2 played tennis and softball/baseball
let's find the maximum and minimum values of . to answer this question, recall that we consider two types of candidates for max/min: some are values attained at points in the interior of , and some are values attained at points in the boundary of . show that a critical point of in looks like , and, at such a point, we have .
The critical points of the function f(x) are found where f'(x) = 0 or f'(x) is undefined. At these points, the function may have local maxima or minima.
To find the critical points of a function f(x), we need to find where the derivative f'(x) equals zero or is undefined. These points are potential candidates for local maxima or minima. At a critical point, the derivative either changes sign or is zero.
To determine if it is a maximum or minimum, we can use the second derivative test or analyze the behavior of the function around the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, further analysis is needed.
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of 3
The table provides information on road accidents reported to the police for the days in
December
Accidents reported
Frequency
Answer:
24.43 this is your answer