Answer:
Step-by-step explanation:
Notice that 
is a right triangle where its hypotenuse is 
. We can also see that 
. For this we must use the Pythagorean Theorem.
Recall:
The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.
We can see that 
and 
Answer:
(x-3)(x^2-7) = x^3 -3x^2 -7x + 21
just change the sign of the root and put x in front of it, then multiply the factors all together
(x-3)(x-sqr7)(x+sqr7) roots come in conjugate pairs to eliminate irrational coefficients
(x-sqr7)(x+sqr7) = x^2-7. similar to (a-b)(a+b) = a^2-b^2
Step-by-step explanation:
A(rectangle)=5*12=60
A(circle)=(pi)(r^2)
r=(1/2)(5)=2.5
A(circle)=(3.14)(2.5)^2
A(circle)=19.625
Shaded Circle=1/2
(1/2)(19.625)=9.8125
A of unshaded=60-9.8125
A=50.1875 ft
Answer:
7. x = 4
8. x = 10
Step-by-step explanation:
7. The angles are equal to each other so you can do
40 = 12x - 8
48 = 12x
4 = x
8. The angles add up to be 180 degrees so you can combine them and set them equal to 180
6x + 12x = 180
18x = 180
x = 10
