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3 years ago

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A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 cm and 12 cm.

The distance between the bases in 10 cm

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:

I think that the answer is either A or C. I'm not too sure on which one.

Step-by-step explanation

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This is URGENT. Please answer this question including every step thanks.

Likurg_2 [28]

(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.

5 0

3 years ago

Read 2 more answers

Which is a equivalent to 80 1/4x

elena55 [62]

Since you did not provide options for what 80 $\frac{1}{4}$ x could be equivalent to,, it is near to impossible to answer this question fully. I will simplify 80 $\frac{1}{4}$ x for you and then when you can provide the options for me,, I could help you find the answer if you need it.
To simplify this you must reduce the numbers with 4 in order to find your final answer.
20x.
This means that the correct answer to your question is 20x.
Let me know if you have any further questions.
:)

7 0

3 years ago

I NEED HELP FAST. FILL IN THE BLANKS

atroni [7]

1)

|-6-2|=|-8|=8

2)

G and I

3)

|-6+2|= |-4|=4

the point that is 4 units away from H and K is I

I=-2

7 0

2 years ago

Read 2 more answers

Find the surface area of<br> the prism.

Anton [14]

Answer:

$\text{D. }464\:\mathrm{ft^2}$

Step-by-step explanation:

The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:

Rectangle 1 (top base): $12\cdot 14=168$

Rectangle 2 (bottom base): $6\cdot 14 = 84$

Trapezoids 1 and 2 (lateral): $2\cdot 9 \cdot 4=72$

Rectangles 3 and 4 (lateral): $2\cdot 14\cdot 5=140$

Thus the total surface area is equal to

$168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}$

6 0

3 years ago

0/3 x 11 > 11 , whats the empty 0?

Cloud [144]

Answer:

This inequalitie is wrong because 0 is not more than 11

Step-by-step explanation:

8 0

3 years ago