Steps:
37-(x+8)=32
Subtract 37 from both sides
37-(x+8)-37=32-37
Simplify
-(x+8)=-5
Divide both sides by -1
-(x+8)/-1=-5/-1
Simplify
x+8=5
Subtract 8 from both sides
x+8-8=5-8
Simplify
x=-3
Assuming the - are bullet points and not negative signs:
sin = opposite/hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent.
Also remember the special properties of the 30 - 60 - 90 triangle.
This tells us that side AB = 9√3
Combining this info:
sin (C) = 9√3 ÷ 18 = √3 ÷ 2<span>
cos(B) = 9 </span>√3 ÷ 18 = √3 ÷ 2<span>
tan(C) = 9 </span>√3 ÷ 9 = √3<span>
sin(B) = 9 </span>÷ 18 = 1/2<span>
tan(B) = 9 </span>÷ 9√3 = 1 / √3 = √(3) ÷ 3
REAL NUMBER, RATIO NUMBER
It is 62.54
Hope this helped.
Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D