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Black_prince [1.1K]
3 years ago
5

Find the average (mean) of the following test scores.

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

The average (mean) of the test scores is

A. 76

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“An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and wor
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Answer:

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

C=2\pi r

<u><em>Find the radius of the sphere with a 5.50-meter circumference</em></u>

For C=5.50\ m

assume

\pi =3.14

substitute and solve for r

5.50=2(3.14)r

r=5.50/[2(3.14)]=0.88\ m

<u><em>Find the radius of the sphere with a 7.85-meter circumference</em></u>

For C=7.85\ m

assume

\pi =3.14

substitute and solve for r

7.85=2(3.14)r

r=7.85/[2(3.14)]=1.25\ m

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

SA=4\pi r^{2}

<u><em>Find the surface area of sphere with a 5.50-meter circumference</em></u>

For r=0.88\ m

assume

\pi =3.14

substitute

SA=4(3.14)(0.88)^{2}

SA=9.73\ m^{2}

<u><em>Find the surface area of sphere with a 7.85-meter circumference</em></u>

For r=1.25\ m

assume

\pi =3.14

substitute

SA=4(3.14)(1.25)^{2}

SA=19.63\ m^{2}

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

<u><em>Find the cost of sphere with a 5.50-meter circumference</em></u>

9.73*(92)=\$895.16

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

<u><em>Find the cost of sphere with a 7.85-meter circumference</em></u>

19.63*(92)=\$1,805.96

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

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3 years ago
Move each inequality next to the number line it represents.<br> Number Line<br> Inequality
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2 years ago
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
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I can’t figure out what the half circle means the answer options are 163,129,149 and 186
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Answer: 129

Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr²  (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)

Area=3.14(5)²

       =3.14(25)

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But since this is just a half circle, divide this by 2

That will get 39.25

Then add this to the area of the rectangle (L*W) which is 90

That will get about 129

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