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Annette [7]
3 years ago
13

Help. I forgot how to do this please

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

  176 in³

Step-by-step explanation:

Area is a 2-dimensional measure, so the scale factor for area of similar figures is the 2nd power of the linear scale factor. That is, the ratio of linear dimensions of the two figures is ...

  smaller/larger = √(228/1425) = √(4/25) = 2/5 . . . . linear scale factor

Volume is a 3-dimensional measure, so the scale factor for volume of similar figures is the 3rd power of the linear scale factor. That is, the ratio of volumes of the two figures is ...

  smaller/larger = (2/5)^3 = 8/125 . . . . . . . . volume scale factor

Multiplying this by the larger volume gives us the smaller volume:

  (8/125)·(2750 in³) = 176 in³

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6 0
3 years ago
m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?
Neko [114]

We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.

∠WYX and ∠WYZ are complementary.

We know, sum of complementary angles is = 90°.

So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.

m∠WYX + m∠WYZ = 90°.

Plugging values of ∠WYX and ∠WYZ in the above equation, we get

(2x−1)° + (4x+1)° = 90°.

Removing parentheses from both sides,

2x-1 + 4x+1 =90.

Combining like terms,

2x+4x= 6x and -1+1 =0

6x +0 =90.

6x=90.

Dividing both sides by 6.

6x/6 =90/6

x= 15.

Plugging value of x=15.

m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29

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Therefore, ∠WYX=29° and ∠WYZ=61°.



5 0
4 years ago
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