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Feliz [49]
3 years ago
11

The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base

and the height of the triangle
Mathematics
1 answer:
mixer [17]3 years ago
3 0

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

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egoroff_w [7]

Answer:

The one in the right corner is true if that is what you are solving for! =)

Step-by-step explanation:

Hope this helps

6 0
3 years ago
Two feet is what percent of a yard
KengaRu [80]
Two feet is 66.67% of a yard.

This is because a yard is three feet, and two feet is two-thirds of three feet.

Two-thirds of 100 is 66.67, making two feet 66.67% of a yard.

I hope this helps.
7 0
3 years ago
Page 2
stepan [7]
You wont because 72 +21+15+36+69+81+9+27+42+63=435 and 435 is greater than 100
7 0
3 years ago
In the previous problem, how does the angle of depression from the top of the taller building relate to the angle of elevation f
tia_tia [17]
The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.

 The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached. 

 In the diagram you can notice that both angles, of elevation and depression, have the same value.

 Then, the answer is: The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.

3 0
3 years ago
What are the solutions
netineya [11]

The answer is A. If you substitute -2 and -8/3 for x, the answer is 0.

8 0
3 years ago
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