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Kitty [74]
2 years ago
5

A box has a rectangular base with a length of 3x + 2 and width of 2x - 2, and the base has a perimeter of 60 centimeters. If the

height of the box is x, what is the volume of the box? A) 600 cm3 B) 748 cm3 C) 840 cm3 D) 1,200 cm3 Submit Hint Algebra and Modeling (MAFS.912.A-CED-1.4) Rearrange Formulas ID: 100350
Mathematics
1 answer:
vredina [299]2 years ago
8 0
Let's solve for x first via the perimeter.

2(3x+2) + 2(2x-2) = 60
6x + 4 + 4x -4 = 60
10x = 60
x = 6

Therefore the length is 3(6) + 2 = 20 and the width is 2(6) - 2 = 10.

Volume is length x width x height

20 x 10 x 6 = 1200

Your final answer should be 1200 cubic cm or D. Hope this helps!
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Find the value of y.
snow_tiger [21]

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

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3 years ago
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Answer:

Step-by-step explanation:

To find out how much we will divide 90 by 300

90 ÷ 300 = 0.3

Then after subtracting 50 soldiers = 300 - 50 = 250 soldiers

Then 250 x 0.3 = 75 days

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Lila is building a slide for her kids. The ladder is 3 meters tall and the slide is 5 meters long. What is the distance between
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Answer:

Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .

In this problem they gave us a and c already so we are trying to find b.

3^2+?=5^2

9+?=25

25-9=16

Find the square root of 16 which is 4

Answer: The distance between the ladder and the slide is 4 meters

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