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SOVA2 [1]
3 years ago
13

A rectangular prism has a volume of 19 cm if the length of the prism is tripled and the other dimensions stay the same what is t

he volume of the new prism
Mathematics
2 answers:
eimsori [14]3 years ago
6 0

Answer:

The volume of the new prism is three times the volume of the old prism

Step-by-step explanation:

To carry out this problem we have to invent 3 variables that represent length, width and height

w = width

h = height

l = length = 19cm

Now we have to do the equation that represents the calculation of the volume of the prism

v = w * h * l

v = w * h * 19

v = 19hw

assuming the length is tripled

v = w * h * 3l

v = w * h * 3 * 19

v = 57wh

To know the volume of the new prism with respect to the previous one, we simply divide the volume of the new prism by the previous one.

57hw / 19hw = 3

The volume of the new prism is three times the volume of the old prism

Dmitry [639]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × width × height

The volume of the original prism is 19 squared cm. Therefore, the height of the original prism is

H = 19/LW

if the length of the prism is tripled and the other dimensions stay the same, the height of the new prism would be 3H, the volume of the new prism would be

19 × 3 = 57 squared cm

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Solve each system of equations <br> X^2+y^2+18x+29=0<br> X+y=1
tatyana61 [14]

Answer:

two solutions : (-3;4)  and (-5;6)

Step-by-step explanation:

hello :

X²+y²+18x+29=0    ..(1)

X+y=1 ...(2)

by (2) : y = 1 - x

put this value in (1) : x² +(1-x)² +18x+29 = 0

x² +1 +x² -2x+18x +29 =0

2x²+16x +30 = 0

x²+8x+15 =0

delta = b²-4ac     a=1   b=8   c = 15

delta = (8)²-4(1)(15)=64-60 =4 = 2²

X1=(-8+2)/2 = - 3

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case 1 : x = -3    y = 1 - (-3) = 4

case 2 : x = -5    y = 1 - (-5) = 6

8 0
3 years ago
15. Scott and Tara were asked to find the
Dmitriy789 [7]

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

<em>Verify Scott 's work</em>

<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

<em>Verify Tara's work</em>

<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

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3 years ago
Find the area of the triangle
Ray Of Light [21]
For this questions you need to memorize formula of triangle area. for question 5, just substitute the value into the formula. for Q6 you need to use pythagorean theorem formula to find the lenght of each triangle that i already seperated

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I will give branliest to the person who answers this right: 30 - 12÷3×2 =
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Answer:

22

Step-by-step explanation:

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muminat

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Step-by-step explanation:

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