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kvasek [131]
2 years ago
9

What is the solution set for

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
6 0

Answer:

C.) H<4

Step-by-step explanation:

8(2-h)>-3h-4

16-8h>-3h-4

16-5h>-4

-5h>-20

h<4

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A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 4 feet, and a height of
podryga [215]

Answer: 227 pounds.

Step-by-step explanation:

By definition, the volume of a rectangular prism can be calculated with the following formula:

V=lwh

Where "w" is the width of the rectangular prism, "l" is the length and "h" is the height of the rectangular prism.

In this case you know that:

l=13.5\ ft\\\\w=4\ ft\\\\h= 7.5 ft

Substituting values into the formula, you get that the volume of the shipping container is:

V=(13.5\ ft)(4\ ft)( 7.5 ft)\\\\V=405\ ft^3

You know that it was completely filled with  contents that weigh 0.56 pound per cubic foot, approximately. Then, its density is:

d=0.56\ \frac{lb}{ft^3}

Since:

d=\frac{m}{V}

Where "m" is mass and "V" is volume, you can susbstitute values and solve for "m":

0.56\ \frac{lb}{ft^3}=\frac{m}{405\ ft^3}\\\\(0.56\ \frac{lb}{ft^3})(405\ ft^3)=m\\\\m\approx227\ lb

8 0
4 years ago
What is the slope of a line that is parallel to the line with the following equation? y= -2/3x+2
NISA [10]

Answer:

-2/3

Step-by-step explanation:

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6 0
3 years ago
Solve for x<br><br> x² + 10x + 25
Sonbull [250]

Hi,

Answer: (x+5)^2

<u>My work:</u> For this problem can be easily achieved by factoring your terms. To do this you figure out what can go into 10x and 25 which is 5. From the there you take x^2 and 10x and see what can take out which would be x. Your answer would be (x + 5)^2 or (x +5) (x + 5). This can be done in 2 easy steps!

<u><em>Numerical work:</em></u>

1.x^2 10x +25

Before this step figure out what goes into you equation.

2. (X + 5)^2 or (X+5) (X + 5)


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Answer:

Step-by-step explanation:

Your checkmarks are in the right places. So the answers are correct that you have chosen.

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3 years ago
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Vanyuwa [196]

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

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