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2 years ago

Which of the following represents 9! A. 9 B. 987654321 C. 9+8+7+6+5+4+3+2+1

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

3 0

The answer is B. Btw don’t click on the link provided by the other answer provider it’s a virus.

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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

HELP I have to turn this in tomorrow i need to know if this is right.

Delicious77 [7]

Answer:

what is the question?.....

3 0

2 years ago

Read 2 more answers

A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each packa

Sveta_85 [38]

Answer:

more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

$6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

3.50n > 3850

n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

_____

<em>Additional comment</em>

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

5 0

2 years ago

Round off the nearest place value 75,432,387

liberstina [14]

Since you'd didn't specify what place value I'm assuming it's the whole number so the answer is: 80,000,000

7 0

3 years ago

The area of a 20 cm wide rectangle is 500 cm cm2 what is the length?

ziro4ka [17]

Given = b = 20cm, A = 500cm2 l=?

A = l×b,

500= l×20

l= 25

<em>THE LENGTH IS 25 CM</em>

8 0

2 years ago

Read 2 more answers

Which of the following represents 9! A. 9 B. 9*8*7*6*5*4*3*2*1 C. 9+8+7+6+5+4+3+2+1

Which of the following represents 9! A. 9 B. 987654321 C. 9+8+7+6+5+4+3+2+1