Find the volume of the composite figure shown. Use 3.14 to approximate pi. Round your answer to the tenths.

Find The Volume Of The Composite Figure Shown. Use 3.14 To Approximate Pi. Round Your Answer To The Tenths.

Answers

Answer 1

Answer:

21499.4 in³

Step-by-step explanation:

1. Find the area of the face:

a. Triangle: 1/2*b*h = 1/2*30*15 = 225 in²

b. Rectangle: b*h = 22*30 = 660 in²

c. Semi-circle: 1/2*πr² = 1/2*π*(d/2)² = 1/2*3.14*11² = 189.97 in²

d. Total: 225 + 660 + 189.97 = 1074.97 in²

2. Find height: 20 in

3. Find volume: 1074.97*20 = 21499.4 in³

Answer 2

Check the picture below.

so, the composite is really, a triangular prism on top of a rectangular prism with a semi-circle.

now, if we can just get the volume of each individual solid, then we're golden.

for the triangular prism, its volume is simply the triangular face's area times the length, in this case 20.

for the rectangular prism, is the same, the rectangular face's area times the length.

now, for the semicircle is the same, let's recall, the area of a full circle is πr², so the area of half a circle is (πr²)/2.  Notice in the picture, the semi-circle has a radius of 11.

[tex]\bf \stackrel{\textit{area of the triangle}}{\left[\cfrac{1}{2}(30)(15) \right]}(\stackrel{\textit{length}}{20})~~+~~ \stackrel{\textit{rectangle's area}}{(22\cdot 11)}(\stackrel{\textit{length}}{20})~~+ \stackrel{\textit{semi-circle's area}}{\left(\cfrac{\pi 11^2}{2} \right)}(\stackrel{\textit{length}}{20}) \\\\\\ 4500+4840+1210\pi \implies \stackrel{\pi =3.14}{13139.4}[/tex]

Find The Volume Of The Composite Figure Shown. Use 3.14 To Approximate Pi. Round Your Answer To The Tenths.

Related Questions

A sandwich shop loses $1.20 every time somebody buys a sandwich, but makes $1.80 every time somebody buys a drink. One day, the shop sells 100 drinks, and makes a profit of over $100. Which are possible numbers of sandwiches the shop could have sold? Check all that apply.

A. 0 sandwiches
B. 40 sandwiches
C. 60 sandwiches
D. 70 sandwiches
E. 80 sandwiches

Answers

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 10 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

Answer:

A,b,c

Step-by-step explanation:

P=1.8d-1.2s

P=180-1.2s

100=180-1.2s

-80=-1.2s

66.7=s

If they sold ≥67 sandwiches, p<100

If they sold ≤66 sandwiches, p>100

Therefore A, B and C are correct

jamal wrote the inequality x/16_<66. witch situation best represented by this inequality?

Answers

the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars

If the interest earned is $25 and the principal is $500 and the interest rate is 5%, what is the time?

Formula = simple interest= principal times annual interest rate times the time in years

Answers

Final answer:

To find out how long it takes to earn $25 in interest on a principal of $500 at a 5% annual interest rate, use the simple interest formula. The calculation reveals it takes 1 year.

Explanation:

The question asks us to determine the time it takes to earn $25 in interest on a principal of $500 at an annual interest rate of 5% using simple interest. The formula for simple interest is Interest = Principal × Rate × Time. We can rearrange this formula to solve for time (Time = Interest / (Principal × Rate)).

Given that the interest earned is $25, the principal is $500, and the rate is 5% (0.05 in decimal form), we substitute these values into our rearranged formula to find the time.

Interest = $25Principal = $500Rate = 5% or 0.05

Substituting these into the formula gives us:

Time = $25 / ($500 × 0.05) = $25 / $25 = 1 year

Therefore, it takes 1 year to earn $25 in interest at a 5% annual rate on a $500 principal using simple interest.

What are the factors of the square root of 329

Answers

Answer: [tex]x=-\dfrac{3}{2}, 7[/tex]

Step-by-step explanation:

[tex]2x^2-10x-26=x-5[/tex]

[tex]2x^2-10x-26-x+5=0[/tex]  Move all terms to one side

[tex]2x^2-11x-21=0[/tex] Simplify [tex]2{x}^{2}-10x-26-x+5[/tex]

[tex]2x^2+3x-14x-21=0[/tex] Split the second term

[tex]x(2x+3)-7(2x+3)=0[/tex]  Factor out common terms in the first two terms, then in the last two terms.

[tex](2x+3)(x-7)=0[/tex] Factor out the common term [tex]2x+3[/tex]

[tex]x=-\dfrac{3}{2}, 7[/tex]

Answer:

x = -3/4 and 7/2 will be your final answer, but check below for a correction on your work

Step-by-step explanation:

***Your work is incorrect, it should be

2x² - 11x - 21 = 0

you need to subtract an 'x' from both sides, and add 5 to both sides...you added an x to the left side and subtracted a 5 from the left side instead***

I'll solve this so in case you will need help on it too.

Now you'll have

x = (11 ± √[(-11²) - 4(2)(-21)])/([4(2)]

x = (11 ±  √289)/8

x = (11 ± 17)/8

x = (11 + 17)/8 = 28/8 = 7/2

or

x = (11 - 17)/8 = -6/8 = -3/4

A tug boat traveled -15 miles in 0.3 hours what was its velocity

Answers

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

(1 hour = 60 minutes)

Velocity (v) = ?

The formula of distance is: d = v*t

=> v = d/t = 15/18 = 0.83 miles/minute

we can also calculate velocity is meter/sec, for that

1 minute = 60 sec

=> 18 mins = 18*60 = 1080 sec

1 mile = 1609.34 meters

=> 15 miles = 15 * 1609.34 = 24,140 m

hence,

v = 24,140/1080 = 22.35 m/s

If the sale tax rate is 8.75% in New York State, how much sales tax would you pay for a $35 pair of pants? And at Best Buy they have a 50" TV tagged as $1250. It's on sale for 15% and sale tax is 8%. What is the final cost?

Answers

The pants are $38.06 and the television is $1,147.50.

The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06

The total cost is $35 + 3.06 = $38.06.

The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price

The sales tax is calculated by multiplying $1,062.50 x .08 = $85

The total price is $85 + $1,062.50 = $1,147.50

Given f(x) = 10 -2xfind f(7). –4 3 7 56

Answers

Answer: [tex]f(7)=-4[/tex]

Step-by-step explanation:

1. You have the following function given in  the problem:

[tex]f(x)=10-2x[/tex]

2. Then, to find [tex]f(7)[/tex] asked in the exercise, you only need to substitute [tex]x=7[/tex] (which is the input value) into the given function.

3. Therefore, keeping the above on mind, you obtain that [tex]f(7)[/tex] is:

[tex]x=7[/tex]

[tex]f(7)=10-2(7)[/tex]

[tex]f(7)=10-14[/tex]

[tex]f(7)=-4[/tex]

Answer:

The correct answer is,

f(7)  -4

Step-by-step explanation:

It is given that,

f(x) = 10 - 2x

To find f(7)

To find f(7) we have to put 7 instead of x in f(x).

Here  f(x) = 10 - 2x,

Step 1: substitute the value x = 7 we get ,

f(7) = 10 - (2 * 7)    

 = 10 - 14 = -4

Therefore we get the answer  f(7) = -4

The correct answer is first option.


5–(6+9x)=9–(4x–1) evaluate the problem

Answers

the answer will be -11/5. i

Answer:

x=  - 2 and 1/5

Step-by-step explanation:

n edge of Cube A is 8 inches, and an edge of Cube B is 5 inches. To the nearest tenth, how many times greater is the volume of Cube A than Cube B?

Answers

Answer:

4.1 times greater

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge

Cube A:

a = 8in. Substitute:

[tex]V_A=8^3=512\ in^3[/tex]

Cube B:

a = 5in. Substitute:

[tex]V=5^3=125\ in^3[/tex]

[tex]\dfrac{V_A}{V_B}=\dfrac{512}{125}=4.096\approx4.1[/tex]

Solve the equation.


3p/8-13=-25

Answers

3p/8 - 13 = -25

3p/8 = -12 | * 8

3p = -96 | : 3

P = -32

Answer:

The value of p is -32

Step-by-step explanation:

see the image

What is 0.888 into a fraction, is it over 100ths or 1,000's?

Answers

Thanks for using Brainly!

[tex]0.888 = 111/125 = 88.8percent[/tex]

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

Please can someone help me I’ve been stuck in this for a while and I don’t get it, help please?

Answers

C . Permutation number of ways = 1

I NEED HELP PLEASE PLEASE PLEASE (35 POINTS)

Answers

Answer:

a

Step-by-step explanation:

8..................................

Answers

Answer:

The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]

Step-by-step explanation:

∵ √24 = 2√6

∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]

∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]

∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]

What is £21,000 split at a ratio of 2:5

Answers

Answer:

£6,000 and  £15,000.

Step-by-step explanation:

This split works out to 2 fractions:  2 / (2 + 5) = 2/7 and  5/(2+5) = 5/7.

So the required amounts are £21,000 * 2/7 = £6,000 and 5/7 * 21,000

= £15,000.

If f(x)= (1/7)(7^x) what is f(3)

Answers

subsitute 3 as x

f(3) = (1/7) × (7^3)

f(3) = 1/7 × 343

f(3) = 343 ÷ 7

f(3) = 49

The required value of f(3) = 49.

f(x)= (1/7)(7^x)

what is exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

f(x)= (1/7)(7^x)
f(3) =
1/7(7^3)

f(3) = 1/7 x 7³
f(3) = 7² = 49

Thus the required value for f(3) = 49

learn more about exponential function here:

brainly.com/question/15352175

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An ant is 2.0x10^-2 meters long.if you put 10 million ants in a line, how long is the line ?
A.200 m
B.2,000 m
C.20,000 m
D.200,000 m

Answers

Answer:

2.0*10^5 meters

Step-by-step explanation:

To answer this question, multiply

2.0*10^(-2) meters by 10 million, that is:

2.0

------ * 10*10^6 meters

10²

This expression simplifies to:

2.0*10^5 meters (which corresponds to answer D).

An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters.

An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters (D).

A sphere and a cylinder have the same radius, and the height of the cylinder is equal to its radius; which figure has the greater volume?

Answers

Final answer:

Given a sphere and a cylinder with the same radius, r, and the height of the cylinder equal to the radius, the sphere has a greater volume. This is concluded by comparing the volume formulas for a sphere (4/3πr³) and a cylinder (πr³).

Explanation:

The sphere and cylinder have the same radius, r, and the height of the cylinder, h, is equal to its radius, r. We'll calculate the volumes of both an apply our given conditions to see which figure has a greater volume.

The formula for the volume of a cylinder is Vcylinder = πr²h. In this case given that h=r, it becomes Vcylinder = πr³.

The formula for the volume of a sphere is Vsphere = 4/3πr³.

Comparing both, we definitely see that the sphere with a volume of 4/3πr³ is greater than the cylinder with a volume of πr³

Learn more about Volumes of Solids here:

https://brainly.com/question/32439212

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How do I find the radius of a circle

Answers

Answer: 17

Step-by-step explanation: To find the radius of Q, you'd have to solve for x. So, 4x+3=7x-6, which results in x equaling 3. Next, bisect the chord EF, so it will be 8. Solve for QA, which is 15 and use the pythagorean theorem to solve: x^2=15^2+8^2 -> x=17

plz answer DDDDDDDDDDDDDDDDDD! using the line plot

Answers

Answer:

a. 6

b. 9

c. 4

Step-by-step explanation:

a.

Range = greatest - smallest

Range = 85 - 79

Range = 6

b.

b > 81

82, 83, 84...

3 82s

4 83s

2 85s

3 + 4 + 2 = 9

c.

b = 83

4 83s

4

the diameter of a single human hair is .000025 meters. rewrite this number in scientific notation.
blank x 10 ^(blank) meters

Answers

Answer:

2.5 * 10^-5

Step-by-step explanation:

2.5 * 10^-5

If the number is between 1 and -1 excluding 0. Then

count the number of zeros

add 1 more

write the notation of where you put the decimal place

The power is minus and equal to the number of zeros + 1

0.000025

zeros: the number of zeros = 4

Add 1: 4 + 1 = 5

Decimal goes between the 2 and the 5

2.5

Power: = - 5

Answer: 2.5 * 10^-5

Can you help me with 4? Can you give me a rule to follow when naming these?

Answers

Answer:

2,2 dimethyl propane

Step-by-step explanation:

To name such an organic compound, first identify the longest carbon chain in the provided table, the fourth compound, its longest carbon chain has three carbon atoms thus, the prefix prop-

Then we find the other substituents attached to the carbon chain. In the given compound it has two methyl (CH₃) groups attached to the second carbon atom.

thus 2,2 since there are two attached.

find the approximate value of b in the triangle shown.
13
12
8
5​

Answers

Answer:

The answer is D. 5

Step-by-step explanation:

Answer:

The side b is 5 units

Step-by-step explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]

[tex]\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}[/tex]

[tex]b^2=244-240\cos 24^{\circ}=24.7490901658[/tex]

[tex]b=4.97\sim 5units[/tex]

In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.

Answers

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.

If the long leg is 8, then the short one is 8/√3, or 8√3/3.

Therefore, the hypotenuse, which is double the short leg, is 16√3/3.

Final answer:

In a 30-60-90 triangle, the long leg is √3 times the short leg and the hypotenuse is twice the short leg. By knowing the long leg and using these relationships, we can work out the short leg and then the hypotenuse. In this specific problem, the hypotenuse of the triangle is approximately 9.24.

Explanation:

In a 30-60-90 triangle, the ratio of the side lengths is consistent. The length of the long leg is always √3 times the length of the short leg. The hypotenuse, which is the longest side of the triangle, is always twice the length of the short leg. If the length of the long leg is 8, the formula of this triangle can be used to find the length of the hypotenuse.

However, in your question, the length of the short leg isn't given. But based on the formulas for a 30-60-90 triangle, we can work it out. As long as we know that the long leg is √3 times the short leg, we can solve for the short leg, hence it's 8/√3.

Then, as the hypotenuse is twice the short leg, so hypotenuse = 2 * (8/√3) = 16/√3 ≈ 9.24.

Learn more about the 30-60-90 triangle here:

https://brainly.com/question/11751274

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Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A) rotate 90° clockwise and then translate 6 units down B) translate 4 units down and rotate 180° about the origin C) reflect the triangle across the y-axis and translate 4 units down D) reflect triangle A across the x-axis and then translate 1 unit right

Answers

B) Translate 4 units down and rotate 180°

Rule for 180° = (x, y) ---- (-x, -y)

Pick one point on Triangle A. (I picked the pointiest point)

(-5, 6)

Now translate 4 units down.

You will now be on (-5, 2)

Rotate 180°

You will now have (5, -2)

And the pointiest point on Triangle B is (5, -2)

So, B is the correct answer.

Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

In order to determine the transformation that will map triangle A to B, we need to do the following:

Select any of the coordinates of the vertices

Using the coordinate point (-5, 6) on triangle A

If a coordinate (x, y)  is rotated 180° about the origin, the resulting coordinate will be at (-x, -y)

For the coordinate (-5, 6), rotated 180° about the origin, the resulting coordinate will be at (5, -6)

If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)

We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

Learn more here: https://brainly.com/question/23306927

The table represents a bicycle rental cost in dollars as a function of time in hours.

which explains weather or not the function represents a direct variation ?

Answers

a.would be the best answer to me because base in the table is you look carefully.you would see that it is double by yen and it is a constant. rate of change a linear function. that is why I think it's the best answer.

Answer:

A

Step-by-step explanation:

It can not be B, because the statement in the reasoning is false.

Nor can it be C, the statement is irrelevant and unnecessary.

Nor D, it makes no sense.

It's A because it is true and makes sense.

Sandi lives 5 miles from her school. One day, she took the bus from her house to school. After school, she went to the library to pick out a book. Then she went to the park to read. If sandi traveled along the route shown, how far did she travel.

Answers

Her house to school is 5 miles.

The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.

Divide 5 miles by 2.5 inches to find miles per inch:

5 / 2.5 = 2 miles per inch.

Now you can multiply the other dimensions on the map by 2 to find total miles:

School to Library = 3 x 2 = 6 miles.

Library to Park = 1.5 x 2 = 3 miles.

Total distance traveled: 5 + 6 + 3 = 14 miles.

Help please I’ll give you the brainliest

Answers

not to sure on  how to tell you to answer this one but it looks like 4 inches :)

What is the value of c in the equation below?

Answers

Answer:

1/4

Step-by-step explanation:

Let's find the value of c.

                              1         2^2        1

2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4

                             2^4          1         2^2

this result matches the fourth given possible answer choice.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]

It can be rewritten as:

[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]

By definition of power properties we have:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So:

[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]

Thus, [tex]c = \frac {1} {4}[/tex]

Answer:

Option D

Choose the constant term that completes the perfect square trinomial.

y 2 + 8y

Answers

8 divided by 2=4 then square the 4

16

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.

In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.

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