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Svetach [21]
2 years ago
12

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The hei

ght is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​
Mathematics
1 answer:
evablogger [386]2 years ago
8 0

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

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ExtremeBDS [4]
Yes it is a linear equation
3 0
3 years ago
Find the value of x, y, and z in the rhombus below.
34kurt

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

3 0
2 years ago
Read 2 more answers
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate
MA_775_DIABLO [31]

Answer:

1 hour ago would be 3C.

3 hours ago would be 9C.

4.5 hours ago would be 13.5

Step-by-step explanation:

5 0
2 years ago
i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples
vladimir1956 [14]

Step-by-step explanation:

To multiply the fractions, like

\frac{1}{4}  \times  \frac{1}{9}

Multiply the top,

then multiply the bottom.

\frac{1}{4}  \times  \frac{1}{9}  =  \frac{1 \times 1}{4 \times 9}  =  \frac{1}{36}

Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.

To divide fractions, like

\frac{ \frac{1}{5} }{ \frac{1}{8} }

You take the top number,

\frac{1}{5}

Then you flip the bottom number,

\frac{8}{1}

Then multiply the two

\frac{1}{5}  \times  \frac{8}{1}  =  \frac{8}{5}

And that is your answer. Comment if you need more clarification

6 0
1 year ago
Simplify the expression (5 3i) (4-4i) a. 8i b. 9-i c. 9 i d. 9-7i
poizon [28]
The expression will be d. 9-7i
8 0
3 years ago
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