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NNADVOKAT [17]
3 years ago
8

The sum of the measures of the angles shown is 81°. Which is the measure of angle y?

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer: because djsjs

Step-by-step explanation:

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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
mixer [17]

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.

3 0
3 years ago
Natalie sawed five boreds of equal length to make a stool. Each was 8 tenth of a meter long what is the total lenght of the boar
Dmitry [639]
One board is 31.5 inches long. all the boards together is 157.5 inches long
6 0
3 years ago
What is the equation of the circle that has its center at -26,120 and passed through the origin
OlgaM077 [116]

well, first off let's check those two points, we know it's centerd at (-26 , 120) and we also know it passes through (0 , 0), so the distance between those two points is its radius

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{-26}~,~\stackrel{y_2}{120})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~-26 - 0~~)^2 + (~~120 - 0~~)^2} \implies r=\sqrt{(-26)^2 + (120 )^2} \\\\\\ r=\sqrt{( -26 )^2 + ( 120 )^2} \implies r=\sqrt{ 676 + 14400 } \implies r=\sqrt{ 15076 } \\\\[-0.35em] ~\dotfill

\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-26}{h}~~,~~\underset{120}{k})}\qquad \stackrel{radius}{\underset{\sqrt{15076}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-26) ~~ )^2 ~~ + ~~ ( ~~ y-120 ~~ )^2~~ = ~~(\sqrt{15076})^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (x+26)^2+(y-120)^2 = 15076~\hfill

3 0
1 year ago
What is 4 - 2(x - 3) = 24
MAXImum [283]

Answer:

x = -7

Step-by-step explanation:

4 - 2(x - 3) = 24

Subtract 4 from each side

4-4 - 2(x - 3) = 24-4

-2(x-3) = 20

Divide each side by -2

-2(x-3)/-2 = 20/-2

x-3 = -10

Add 3 to each side

x-3+3 = -10+3

x = -7

8 0
3 years ago
Rafael rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 87 cents for each mile
SIZIF [17.4K]

Answer: Rafael drove 277 miles

Step-by-step explanation:

255.98 - 14.99 = 240.99

240.99 / .87 = 277.

5 0
3 years ago
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