Use the cosine formula
Cos(angle) = adjacent/ hypotenuse
cos(30) = x/8
Cos(30) can be written as sqrt(3)/2
Now you have :
sqrt(3)/2 = x/8
Multiply both sides by 8:
X = sqrt(3)/2 x 8
Simplify:
X = 4sqrt(3)
Answer: 13
Step-by-step explanation:
First, you add them all up which is 8+10+12+15+15+18 which is 78. Then, you divide by how much number there is which here is 6. So, I divided 78 by 6 and got 13.
Assuming the exponent is supposed to be "^2" your equation will read:
4x² + 8x - 5
It must set equal to y to be a valid function and the y must be set equal to zero to find x-intercepts.
4x² + 8x - 5 = 0
4x² - 2x + 10x - 5 = 0
2x(2x - 1) + 5(2x - 1) = 0
(2x + 5)(2x - 1) = 0
Set each binomial equal to zero.
2x + 5 = 0
2x = 0 - 5
2x = - 5
Divide both sides by 2
x = - 5/2
2x - 1 = 0
2x = 0 + 1
2x = 1
x = 1/2
Your x-intercepts are x = - 5/2, 1/2 or (- 5/2, 0) and (1/2, 0)
The probability would be 6/16 or 37.5% because there are 16 coins in total and 6 of them are worth more than 5 cents. :)
You have to get r by itself on one side. Multiply both sides by 238 to cancel it out of the denominator on the left side.
You are left with r = 8 × 238 or r = 1904.
To check, plug 1904 back into the equation.
1904 ÷ 238 = 8
8 = 8 (True)
