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3 years ago

How do i solve this?

Mathematics

1 answer:

Natalija [7]3 years ago

8 0

Because you know the area and that the shape is a square... if the side length is "s"... to find "s" you would say...

s²=1.69

Take the root of both sides and...

s=1.3 km

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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

Instructions in picture

Kipish [7]

Answer:

12)

(9y +7)=(2y +98)( Because vertically opposite angle is always equal)

9y - 2y = 98-7

9y - 2y = 98-7

7y= 91

y =13

therfore y = 13

(9y + 7)

9*13+7

117+7

124

(2y +98)

2*13+98

26+98

124

5 0

3 years ago

Dianne pays $28 to enter a state fair, plus $2 for each ride. Which of the following equations represents her total cost?

Kisachek [45]

Ok so Dianne pays $28 to get into the fair, she pays $2 for each ride she ride's so I think the equation would be 28+2x= the amount of money she paid

4 0

3 years ago

Read 2 more answers

What number makes the equation true? Enter the answer in the box

Reika [66]

Answer:

Explanation:

8 x 6 = 48

48 ÷ 6 = 8

4 0

3 years ago

7. Agrupa para sumar. -5 +8 +(-2)

Brums [2.3K]

Answer:

Obtendrías 1

Step-by-step explanation:

Primero resta 5 de 8 para obtener 3,

luego reste por 2 para obtener 1

¡Espero eso ayude!

6 0

3 years ago

Read 2 more answers