Perimeter = 2 L + 2 w
Where:
L = Length = 110 m
W = width = 42m
Replacing:
P = 2(110) + 2 (42) = 220 + 84 = 304 meters
Bob the builder eat no fewer then three donuts. What is the inequality?
Answer:
3
Step-by-step explanation:
I think
Answer:
less than or equal to 3
Step-by-step explanation:
the missing exponent 1,728 =12 (?)
Answer:
x=144
Step-by-step explanation:
what percent of 50 is 18?
Answer:
36 %
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
Answer:
36%
Step-by-step explanation:
The same explanation as she said
Given t3 = 19 and t15 = −17 in an arithmetic sequence, find t47
Let's begin by identifying key information given to us:
This is an Arithmetic Sequence
\(\begin{gathered} t_3=19 \\ t_{15}=-17 \\ t_{47}=? \end{gathered}\)An Arithmetic Sequence is defined by the formula:
\(\begin{gathered} t_n=a+(n-1)d \\ \Rightarrow t_3=a+(3-1)d \\ \Rightarrow a+2d=19 \\ a+2d=19------1 \\ \\ \Rightarrow t_{15}=a+(15-1)d \\ \Rightarrow a+14d=-17----2 \\ a+14d=-17----2 \end{gathered}\)We will proceed to solve both equations simultaneously as shown below:
\(\begin{gathered} a+2d=19------1 \\ a+14d=-17----2 \\ \text{Subtract equation 1 from 2, we have:} \\ a-a+14d-2d=-17-19 \\ 12d=-36 \\ d=-\frac{36}{12}=-3 \\ d=-3 \\ \text{Substitute ''d'' into equation 1, we have:} \\ a+2(-3)=19 \\ a-6=19 \\ a=19+6 \\ a=25 \end{gathered}\)Since we know the values of ''a'' & ''d'', we will proceed to solve for t47
\(\begin{gathered} t_n=a+(n-1)d \\ t_{47}=25+(47-1)(-3) \\ t_{47}=25+46(-3) \\ t_{47}=25-138 \\ t_{47}=-113 \\ \\ \therefore t_{47}=-113 \end{gathered}\)Can someone help me pls
Answer:
240 tickets
Step-by-step explanation:
1200/5=240
btw the "/" means divide
The equation D = StartFraction 13 Over V EndFraction shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?
Answer:
As the volume approaches 0,
The density approaches infinity
Step-by-step explanation:
The graph of the equation is a hyperbola with the asymptote at v = 0. This means that when the value of v is very close to 0, the value of the density is very large.
As the volume approaches 0,
The density approaches infinity
Answer:
The density approaches infinity.
Step-by-step explanation:
Given: ΔABE ≅ ΔACE and BD ≅ CD. Prove: ∠BDE ≅ ∠CDE
SOLUTION
Given
\(\begin{gathered} \nabla ABE \\ \text{And} \\ \nabla ACE \end{gathered}\)And
\(\begin{gathered} |BD|\cong|CD| \\ \text{and } \\ |BE|\cong|CE| \\ \text{Correspounding sides of a congruent triangles are congruent} \end{gathered}\)And looking at the common sides of the triangle
\(\begin{gathered} |DE|\cong|DE|\text{ are common sides of the} \\ \nabla DBE\text{ and }\nabla DCE \\ |DE|\cong|DE|\text{ . Reflexive} \end{gathered}\)Using the sides Angle Sides theorem of congruency: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
\(\begin{gathered} \Delta BDE\cong\Delta CDE \\ |DB|\cong|DC| \\ |DE|\cong|DE| \\ \text{Hence } \\ \angle BDE\cong\angle CDE \end{gathered}\)
find cos{a} in the triangle side lengths 20,29,21
Check the picture below.
Write 99÷12 as a decimal
Answer:
8.25
Step-by-step explanation:
Answer:
8.25
Step-by-step explanation:
Gia đình bác Lan hai năm liền thu hoạch được 560 tạ thóc. Năm thứ hai bác Lan thu hoạch hơn năm thứ nhất 60 tạ thóc. Hỏi mỗi năm bác Lan thu hoạch bao nhiêu kg thóc?
Answer:
năm thứ nhất: 250 tạ = 17000 kg
năm thứ hai: 310 tạ = 21080kg
Step-by-step explanation:
Your answer
What is the value of the expression? -50 + 51? *
Answer:
The answer is 1
Step-by-step explanation:
-50+50=1
Answer:
1
Step-by-step explanation:
-50+51=1
What is the distance between (-5, -8) and (-1, -16)
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the nearest tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.
The explicit rule for the geometric sequence is an
Step-by-step explanation:
Geometric sequences are of the form a * b^x, where a and b are real constants.
We have a * b⁴ = 234 and a * b⁶ = 104.
Dividing the second equation by the first,
we get b² = 4/9, so b = 2/3.
When x = 4, a * b⁴ = 234.
=> a * (2/3)⁴ = 234, a = 1184.625
Hence the explicit rule
is a(n) = 1184.625 * (2/3)^n.
Answer:
Hence the explicit rule is a(n) 1184.625 *(2/3)^n.
Describe a strategy for determining the total perimeter of a shape that is made up of squares and parts of circles.
Answer:
Add the lengths of all the segments along the outside of the shape to find the perimeter. For the rectangle and half-circle shape, for example, add the lengths of the three sides of the rectangle and the perimeter of the half-circle to find the total perimeter of the shape.
Step-by-step explanation:
source: G o o g l e
h(6)= ? I don't even know what the question is asking me to do
Answer:
h(6) = 8
Step-by-step explanation:
h(6) is find the value of the function when x=6
What is the y value ( the value of the blue line) when x=6
Go to x=6 and go up to the blue line
y =8
h(6) = 8
Answer:
8At X = 6 , h(X) = 8
plug the value of x
h (6) = 8
please see the attached picture..
Hope this helps...
Good luck on your assignment...
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
what's an isosceles triangle; triangle with 2 equal sides; area of isosceles triangle
The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.
How big is an isosceles triangle?
If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
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Please find the area of D, E, and F.
This would be appreciated :)
Answer:
Using graph for units
D=1/2(6)(9)=27 sq units
E=1/2(7)(6)=21 sq units
F=1/2(6)(8)=24 sq units
Step-by-step explanation:
Answer:
D=27 units, E=21 units, F=24 units
Step-by-step explanation:
The formula for area of a triangle is (BASE * HEIGHT)/2
For triangle D, the base is 9 units and the height is 6 units. Then you can apply the formula and do 9*6 which is 54 and then do 54/2 which is 27 units.
Similarly, the base for E is 6 units, and the height is 7 units. So you do 6*7 which is 42 and then do 42/2 which is 21 units.
Again, the base for F is 6 units, and the height is 8 units. Then again, using the formula, we can do 6*8 which is 48 and then do 48/2, which is 24 units.
Hopefully this helped!
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
G(x)=(1-x)⁴
Step-by-step explanation:
Answer to this math question?
Answer:
Option 4
Step-by-step explanation:
Volume of Cone:h = x units
diameter = x units
r = (x/2) units
\(\sf \boxed{\text{ \bf Volume of cone = $\dfrac{1}{3} \pi r^2h$}}\)
\(\sf =\dfrac{1}{3}*\pi * (\dfrac{x}{2})^2*x\\\\=\dfrac{1}{3}*\pi*\dfrac{x^2}{4}*x\\\\=\dfrac{1}{12}\pi x^3\)
HELP ME PLEASE
I NEED HELP ASAP
IF IM ABLE TO GIVE OUT BRAINLIST THEN I WILL GIVE IT
The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total numberof bento boxes in the container.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = LWH
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Part a.
Therefore, the manager can use the following formula;
Volume of container = LWH
Volume of container = 7/2 × 3/2 × 3/2
Volume of container = 63/8 cm³.
Part b.
For the number of bento boxes that can fill the container, we have:
Number of bento boxes = Volume of container/Volume of bento boxes
Number of bento boxes = 63/8/(1/2)³
Number of bento boxes = 63/8/1/8
Number of bento boxes = 63/8 × 8
Number of bento boxes = 63 bento boxes = 3 layers × 21.
Part d.
Volume of container = Volume of bento boxes
63/8 cm³ = 63 × 1/8 cm³
63/8 cm³ = 63/8 cm³ (equal).
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1/3= round to the nearest hundredth
What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
Find the value of x
Answer:
x=20
Step-by-step explanation:
All sides are equal, so we have to add 3x three times because there are three sides in a triangle. A triangle equals to 180 degrees.
3x+3x+3x=180
9x=180
x=20
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
Do not round any intermediate computations, and round your answer to the nearest hundredth
In order to calculate continuous interest, we can use the formula below:
\(A=Pe^{rt}\)Where A is the amount after t years, P is the principal (initial value) and r is the interest rate.
So, using A = 2P and r = 0.0475, we have:
\(\begin{gathered} 2P=Pe^{0.0475t}\\ \\ 2=e^{0.0475t}\\ \\ \ln e^{0.0475t}=\ln2\\ \\ 0.0475t=0.69314718\\ \\ t=\frac{0.69314718}{0.0475}\\ \\ t=14.59\text{ years} \end{gathered}\)Therefore it will take 14.59 years to double the investment.
Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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Continuously Compounding: A(t)=A(0)x e^rt
3. The amount of a radioactive element in a compound decreases continuously at an hourly rate of 15%. At noon there are 4500 nanograms of the element in the compound. How much of the element will there be at 6 p.m.?
4. A population of seabirds has been growing continuously at a rate of 4% per year. Today, the population is 16,000.
a. What will the population be 6 years from now?
b.What was the population 6 years ago?
Therefore, the population of seabirds 6 years ago was approximately 11,745.5.
What is percent?Percent is a way of expressing a number as a fraction of 100. It is represented by the symbol "%". For example, if there are 25 students in a class and 20 of them passed the test, the percentage of students who passed the test is 80%. This is calculated by taking the number of students who passed (20) and dividing it by the total number of students (25), then multiplying by 100.
Here,
3. The amount of the radioactive element can be modeled by the equation:
\(A(t) = A(0) *e^{rt}\)
where A(t) is the amount of the element at time t, A(0) is the initial amount at time t=0, r is the continuous rate of decrease, and e is the mathematical constant approximately equal to 2.71828.
In this problem, we know that the initial amount A(0) is 4500 nanograms, the continuous rate of decrease r is 15% per hour, and we want to find the amount of the element at 6 p.m., which is 6 hours after noon.
First, we need to convert the continuous rate of decrease from hourly to continuous, using the formula:
r = ln(1 - p)
where p is the hourly rate of decrease, expressed as a decimal. In this case, p = 0.15, so:
r = ln(1 - 0.15)
≈ -0.1707
Substituting the given values into the equation for A(t), we get:
\(A(t) = 4500*e^{-0.1707t}\)
where t is the time in hours since noon. To find the amount of the element at 6 p.m. (t = 6), we plug in t = 6 and evaluate:
\(A(6) = 4500*e^{-0.1707*6}\)
≈ 2595.5
Therefore, there will be approximately 2595.5 nanograms of the element at 6 p.m.
4a. The population of seabirds can be modeled by the equation:
\(P(t) = P(0)*e^{rt}\)
where P(t) is the population at time t, P(0) is the initial population at time t=0, r is the continuous rate of growth, and e is the mathematical constant approximately equal to 2.71828.
In this problem, we know that the initial population P(0) is 16,000, the continuous rate of growth r is 4% per year, and we want to find the population 6 years from now.
We need to convert the continuous rate of growth from years to continuous, using the formula:
r = ln(1 + p)
where p is the annual rate of growth, expressed as a decimal. In this case, p = 0.04, so:
r = ln(1 + 0.04)
≈ 0.0392
Substituting the given values into the equation for P(t), we get:
\(P(t) = 16000*e^{0.0392t}\)
where t is the time in years since the initial time. To find the population 6 years from now (t = 6), we plug in t = 6 and evaluate:
\(P(6) = 16000*e^{0.0392*6}\)
≈ 20661.7
Therefore, the population of seabirds will be approximately 20,661.7 in 6 years.
4b. To find the population 6 years ago, we can use the same equation but with t = -6 (since we are going back in time):
\(P(6) = 16000*e^{0.0392*-6}\)
≈ 11745.5
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