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Sedbober [7]
3 years ago
11

A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is

lying on the back of the truck. If the back of the truck is 5 feet high, which of the following equations can be used to find the length of the ramp? 52 + b2 = 122 , 122 + b2 = 52,  52 + 122 = c2

Mathematics
2 answers:
MAVERICK [17]3 years ago
6 0

Answer:

The correct option is 3. The required equation is 5^2+12^2=c^2.

Step-by-step explanation:

It is given that the bottom of the ramp is 12 feet from the truck and the back of the truck is 5 feet high.

Let the length of the ramp be c feet.

The given information forms a right angled triangle. Where bottom of the ramp  from the truck is base, height of the back of the truck is perpendicular and length of ramp is hypotenuses.

Base = 12 feet

Perpendicular = 5 feet

Hypotenuses = c feet

Using Pythagoras theorem,

Perpendicular^2+Base^2=Hypotenuses^2

(5)^2+(12)^2=c^2

The required equation is (5)^2+(12)^2=c^2.

Therefore option 3 is correct.

CaHeK987 [17]3 years ago
3 0
The equation that can be used to find the length of the ramp is <span>
</span>5^{2} + 12^{2} = c^{2}
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5 0
3 years ago
Which of the following is not a perfect square?<br> A. 50<br> B. 49<br> C. 121<br> D. 1
luda_lava [24]
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6 0
3 years ago
Read 2 more answers
Find the missing dimension.
Alecsey [184]

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m.  What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

       b1 + b2

A = --------------- * w, where w represents the width of the figure.

             2

We need to solve this for the width, w.  Multiplying both sides of the above equation by

     2

------------

b1 + b2

results in

 2A

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

        2(7 m^2)           14 m^2

w = ------------------ = ---------------- = 2 m

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The missing dimension is the width of the figure.  This width is 2 m.

4 0
3 years ago
Using V =iwh what is an expression for the volume of the following prism​
vampirchik [111]

Answer:

we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=\frac{d-2}{3d-9}=\frac{d-2}{3(d-3)}

W=\frac{4}{d-4}

H=\frac{2d-6}{2d-4}=\frac{2(d-3)}{2(d-2)}=\frac{(d-3)}{(d-2)}

Substitute the values in the formula

V=\frac{d-2}{3(d-3)}*\frac{4}{d-4}*\frac{(d-3)}{(d-2)}=\frac{4}{3(d-4)}=\frac{4}{3d-12}

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Step-by-step explanation:

7 0
3 years ago
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lubasha [3.4K]
We take the value of F in the inequality by taking the inequalities in group. Let the first group be:

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Then, the second group would be,
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Calculating for the values of F,

(1)     -20 ≤ 59F - 1888
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(2)     (59)(F - 32) ≤ - 15
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The values of F are therefore,
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7 0
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