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stiv31 [10]
3 years ago
10

Describe the possible lengths of the third side of a triangle given that the lengths of the other two sides are 5 and 12 units l

ong. Please express your response as a compound inequality.
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

7<x<17

Step-by-step explanation:

a+b>x

5+12>x

17>x


5+x>12

x>7


12+x>5

x>-7 (ignore then since it is negative and you would use the one that makes the range smaller which is the one above)

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The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is it
Minchanka [31]

Answer:

V=250\ cm^{3}

Step-by-step explanation:

step 1

Find the length of the base L

we know that

The surface area of a rectangular prism is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

substitute

SA=2(LW)+2(L+W)H

we have

W=5\ cm

H=10\ cm

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substitute in the formula and solve for L

250=2(5L)+2(L+5)10

250=10L+20L+100

30L=250-100

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step 2

Find the volume of the rectangular prism

The volume is equal to

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we have

W=5\ cm

L=5\ cm

H=10\ cm

substitute

V=(5*5)*10=250\ cm^{3}

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