Find the volume, in cubic feet, of the solid with the regular base to the nearest tenth.

Find The Volume, In Cubic Feet, Of The Solid With The Regular Base To The Nearest Tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

The base of the figure is a pentagon

The area of the base of a pentagon is

A=(1/4) * √[5(5+2√5)] * s2

The Formula for the Volume of a "pyramid" of this nature is

Volume = Base * h / 3

 

Givens

h = 10 feet

s = 8 feet

Base = formula in the remark section

Solution.

Find the base first.

A=(1/4) * √[5(5+2√ 5)] * s2     Find the value of 5 + 2√5

Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign

Area = 0.25√47.36   * s^2     Take the square root of 47.36. use s = 8

Area = 0.25 * 6.88 * 8^2         Combine.

Area = 110.11

Now find the volume

V = B * h/3

V = 110.11 * 10 / 3

V = 367.04     cubic feet.


Related Questions

Which is the value of x?

(2x)

(x+84)

(3x)

Answers

Answer:

2, 1, 3

Step-by-step explanation:

2.
A standard piece of paper is estimated to be 0. 00005 meter thick. If the thickness, in meters,
of a standard piece of paper is rewritten as 5 x 10*, what is the value of x?

Answers

Answer:

x = -5

Step-by-step explanation:

[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]

What is (-4, 2) reflected over the x axis

Answers

Answer:

(-4,-2)

Step-by-step explanation:

This is because in order to reflect over the x-axis, the x-axis stays the same and the y-value is the exact opposite of the original y-axis.

(x, y) = (x, -y) in other words.

This is as simple as I can put it, hope this helps :)

Please tell me if you need more help.

Answer: (-4,-2)

Step-by-step explanation:

the rule for reflecting over the x axis is

(x,y) = (x,-y)

(-4,2) = (-4, -2)

hope this helps :)

PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver

Answers

Answer:

SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO

Step-by-step explanation:

The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the words

Tell whether the angles are adjacent or vertical. Then find the value of $x$ .

Two lines intersect each other forming two pairs of opposite angles. The one pair of opposite angle is labeled left parenthesis x plus 3 right parenthesis degrees and 84 degrees.

Answers

Answer:

they are adjacent angles

Step-by-step explanation:

for adjacent angles

[tex]{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81[/tex]

Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

Answers

Answer:

inequality form: x [tex]\leq[/tex] -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.

Joe is measuring the widths of doors he bought to install in an apartment complex. He
measured 72 doors and found a mean width of 36.1 inches with a standard deviation of
0.3 inches. To test if the doors differ significantly from the standard industry width of 36
inches, he computes a z-statistic.
-M
Z=
on
What is the value of Joe's z-test statistic?
Thank you

Answers

This is correct trust me I know it’s the answer

The value of z test statistics is 2.83.

What is z score?

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.

Given mean = x = 36.1 inches

standard deviation = σ = 0.3

sample size = n = 72

and μ = 36.1

here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])

z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])

z = 0.1/0.0354

z = 2.8248

z = 2.83

Hence the value of z test is 2.83.

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Suppose y varies directly with x. If y = 12 when x = 4, find x when y = 24.

Answers

Answer:

x would equal 8.

Step-by-step explanation:

Since when y = 12, x = 8, when y is 24, it is multiplied by 2. Multiple the x by 2 and it would be 8.

What is the width of 200 feet and 27 feet

Answers

The width is 27 the length is 172

Answer:

Length: 7 11/27 ft.

Step-by-step explanation:

200/27 = 7 11/27

GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?​

Answers

Answer:

6 bags

Step-by-step explanation:

72 divide by 12 equals 6.

Sally bought 5.33 pounds of cheese at the deli. Dan bought 3.29 pounds of
cheese. How much more cheese did Sally buy than Dan? Do not include units
in your answer.

Answers

Answer:

2.04

Step-by-step explanation:

[tex]5.33-3.29=2.04[/tex]

Answer:

2.04

Step-by-step explanation:

5.33-3.29=2.045.33−3.29=2.04

(this is probability)

Answers

Answer:

Step-by-step explanation:

P(less than 6) = 2/5

Answer:  2/5

There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".

That's how we get to 2/5

pls help i really need it

Answers

Answer:

D

Step-by-step explanation:

Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.

The answer to this question is D

The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot.
39 feet
64 feet
79 feet
72 feet
96 feet

Answers

Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet

Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth

Answers

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

How to determine the nature of the function

In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:

Quadratic

y = a · x² + b · x + c

This function is reduced into a linear function when a = 0.

Exponential

[tex]y = a \cdot b^{c\cdot t}[/tex]

Where:

c > 0 - Exponential growth.c < 0 - Exponential decay.

By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)

Remark

The statement is poorly formatted. The correct statement is presented below:

Identify the type of function represented by f(x) = 3 · 1.5ˣ:

A. Quadratic

B. Exponential decay

C. Linear

D. Exponential growth

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For the first part of the obstacle course, Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.

Which mapping statement correctly describes how she gets from the starting point (0,0) to Checkpoint A?

(x,y)↦(x,y+5)
(x,y)↦(x+5,y)
(x,y)↦(x−5,y+5)
(x,y)↦(x+5,y+5)

Answers

Answer:

If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.  

I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!

The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For the first part of the obstacle course.

Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.

Then the coordinate point will be

Let the direction of the north is taken as positive on the x-axis. Then we have

(x, y) → (x + 5, y)

Thus, the correct option is B.

More about the coordinate geometry link is given below.

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Find the radius of a circle that has a circumference of
16 π
r=4
r= 8
r = 12
r = 16

Answers

Answer:

r=8

Step-by-step explanation:

Correct option is C)

Given, Circumference =16π

The circumference of a circle is given by 2πr.

Hence, 2πr=16πft

πr=8πft

r=8ft

Pls give me crown

A triangle has side lengths of 14 yards, 17 yards, and 13 yards. What kind of triangle is it?

Answers

It is a scalene triangle. A scalene triangle is a triangle that has no equal sides.

Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:


Which information is not provided in the histogram?

The total number of students who collected bottles
The number of students who collected 6 or more bottles
The number of students who collected exactly 4 bottles
The total number of students who collected 12 or more bottles

Answers

Answer:

c

Step-by-step explanation:

As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.

Find the slope of the line

Answers

The slope of the line is 3/2

Answer:

m = 1.5

Step-by-step explanation:

Find two points

(-2,-1) and (0,2)

now use slope formula

[tex]\frac{y_{1} -y_{2} }{x_{1}-x_{2}}[/tex]

2-(-1)/0-(-2)

3/2 = 1.5

slope is 1.5

5. One mile is 5,280 feet. Justin has a stride of 32 inches. How many steps will he take to run a 26-mile marathon? (1) 4,125 (2) 4,290 (3) 51,480 (4) 137,280 (5) 439,296​

Answers

Answer:

(3) 51,480

Step-by-step explanation:

One mile is equal to 5,280 feet, so 26 miles is equa

3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking​

Answers

If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be

Let the number of the row be x. Then we have

[tex]\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8[/tex]

Then the number of the row is 8.

More about the division link is given below.

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Your dad invested $30 for you in 1946 in a fund and you have not withdrawn any money since. If the fund has averaged a return of 7% over the last 70 years, what is the current value of that investment?

Answers

Answer:

50,000 years 90 months 17 days and 82 mins ok ok cool.

Step-by-step explanation:

ExplanatiOn

Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb

Answers

Last one 1 ton = 1000 lbs
3lb 4oz= 52 oz is correct as well as .5T=1000 lb and 2lb=32 oz. Hope that helps :)

Given, in triangle abc, a = 32, b = 21 and angle between a and b is 40 degrees. Find the value of third side c. Options :
A 15
B 17.91
C 20.87
D 21.91 ​

Answers

The law of cosine helps us to know the third side of a triangle. The value of third side c is 20.87.

What is the Law of Cosine?

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

Given, in ΔABC, a = 32, b = 21 and the angle between a and b is 40°, therefore, the value of ∠C=40°.

Now, the value of the third side of the triangle using the cosine law can be written,

[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}\\\\c=\sqrt{32^{2}+21^{2}-2(32 \times 21)\cdot \cos 40^o}\\\\c=\sqrt{1,024+441-1,029.5637}\\\\c=20.867 \approx 20.87[/tex]

Hence, the value of third side c is 20.87.

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PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW

which form most quickly reveals the vertex?

And what is the vertex??

Answers

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is [tex]y = a(x-h)^2 + k[/tex] where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have [tex]y= \frac{1}{2}(x-5)^2 - 2[/tex] which is the same as [tex]y = \frac{1}{2}(x-5)^2 + (-2)[/tex] and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

3) Kathryn invests $5,403 in a savings
account with a fixed annual interest rate of
9% compounded 4 times per year.
How
long will it take for the account balance to
reach $14,382.05?

Answers

Answer:

t = 11 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 9/100

r = 0.09 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.09/4)] )

t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.0225)] )

t = 11 years

Summary:

The time required to get a total amount of $14,382.05 with compoundeded interest on a principal of $5,403.00 at an interest rate of 9% per year and compounded 4 times per year is 11 years.

Find the area of each triangle

Answers

Answer:

Step-by-step explanation:

There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.

To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.

There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.

Hope this helps! :)

You deposit $10,000 in a bank for college. The bank will give you 2.4% interest continuously. How much is in your account after 7 years? ( round to the nearest cent (2 decimal places) )

Answers

Answer:

$12089.26

Step-by-step explanation:

10,000

1.024 (100% of 10,000 + 2.4%)

1.024 * 10,000 = 10240 (1 year)

1.024 * 10240 = 10485.76 (2 years)

1.024 * 10737.42 = 10995.12 (3 years)

1.024 * 10995.12 = 11259 (4 years)

1.024 * 11259 = 11529.22 (5 years)

1.024 * 11529.22 = 11805.92 (6 years)

1.024 * 11805.92 = 12089.26 (7 years)

Which of these numbers is in the solution set of 9x = 63? A. 9 B. 7 C. 8 D. 6

Answers

Answer:

B: 7

Step-by-step explanation:

9x = 63

9/63 = 7

The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]

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