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3 years ago

Find the length of arc AC express in terms of pi

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

I do not know the answer but i do know that PI is 3.14159265359

Effectus [21]3 years ago

3 0

the answer is 5 because i jus took that

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A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

3 years ago

A suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?

pickupchik [31]

Answer:

The diagonal is 30 inches

Step-by-step explanation:

Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this

a² + b² = c²

so we plug our two values to find the diagonal (hypotenuse)

24² + 18² = c²

576 + 324 = c²

900 = c²

c = √900

c = 30

The diagonal is 30 inches

5 0

3 years ago

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PLEASE HELP ME WITH THIS!!

kvasek [131]

The answer is 1,250 i think

6 0

4 years ago

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Simplify the product –8(–9) A.71 B.74 C.72 D.70

Fittoniya [83]

Answer:

the answer is 72....

- × - = +

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3 years ago

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What integer does Point B represent? B D 0 Point B

just olya [345]

I think it’s -4 but i’m not sure

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3 years ago

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