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damaskus [11]
2 years ago
12

Carson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of

Carson's container needs to be approximately 320 cubic Inches. Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal. Which design should Carson choose? A. Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in. B. Rectangular prism with dimensions of 10 in., 8 in., and 4 in. C. Cylinder with a radius of 5 in. and height of 5 in. D. Square pyramid with a base length of 10 in., height of 10 in, and slant height of approximately 14 in.​
Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.

<h3>How to find the volume of a right rectangular prism?</h3>

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

V =  a\times b \times c \: \: unit^3

Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.

The volume of Carson's container needs to be approximately 320 cubic Inches.

Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.

If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.

Then the volume would be

V = 8 \times 8 \times 5\\\\V = 320

This satisfies the given volume so it could be the correct answer.

Learn more about the volume of a right rectangular prism here:

brainly.com/question/21308574

#SPJ1

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.
oksian1 [2.3K]

Answer:

NK = 15

JL = 26

KL = 19.85

\angle JKM =49

\angle JML =41

\angle MLK = 90

\angle MNL =90

\angle KJL =41

Step-by-step explanation:

Given

MK = 30

NL = 13

\angle MKL = 41

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

NK = \frac{1}{2} * MK

NK = \frac{1}{2} * 30

NK = 15

Solving (b): JL

JL is a diagonal, and it is twice of NL.

JL = 2 * NL

JL = 2 * 13

JL = 26

Solving (c): KL

To solve for KL, we consider triangle KNL where:

\angle KNL = 90

and

KL^2 = NL^2 + NK^2

KL^2 = 13^2 + 15^2

KL^2 = 394

KL = \sqrt{394

KL = 19.85

Solving (d - h):

To do this, we consider triangle JKN

\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90 -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41

Similarly:

\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41

\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49

So:

\angle JKM =49

\angle JML =41

\angle MLK = \angle MLJ + \angle JLK

\angle MLK = 49 + 41

\angle MLK = 90

\angle MNL =90

\angle KJL =41

5 0
3 years ago
a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box
Delvig [45]
Answer:
base of the triangle = 12 m

Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m

Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m

Hope this helps :)
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3 years ago
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Answer:

m∠1°= 75°

m∠2°= 105°

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1. set up the equation which makes these shapes equal, 1/2(2(x+1)) = 1x

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I could use a little help with this one. i'm rusty.<br> -3(x+2)-7 = 5x + 7
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Answer:

-3(x+2)-7 = 5x + 7

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