Answer:
Step-by-step explanation:
Comment
You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle
Equation
Cos(x) = a/c the way you have labeled it.
Givens
a = 9
c = 18
Solution
Cos(x) = a / c
Cos(x) = 9 / 18
cos(x) = 1/2
x = cos-1(1/2)
x = 60 degrees
Answer
x = 60
Answer:
22 students
Step-by-step explanation:
218 students - 20 students = 198 students on buses
198 students / 9 buses = 22 students per bus
H(x) = 4x² - 8x - 60
0 = 4x² - 8x - 60
0 = 4(x²) - 4(2x) - 4(15)
0 = 4(x² - 2x - 15)
4 4
0 = x² - 2x - 15
0 = x² - 5x + 3x - 15
0 = x(x) - x(5) + 3(x) - 3(5)
0 = x(x - 5) + 3(x - 5)
0 = (x + 3)(x - 5)
0 = x + 3 or 0 = x - 5
- 3 - 3 + 5 + 5
3 = x or 5 = x
Answer:
y=1/2x-4
Step-by-step explanation:
Answer:Smaller value is 4 yards.
The larger value is 6 yards.
Step-by-step explanation:
Let L represent the length or larger value of the rectangular plot.
Let W represent the width or smaller value of the rectangular plot.
The area of the rectangular field is expressed as
LW = 24 - - - - - - - - - - 1
The formula for determining the perimeter of the rectangular fence is expressed as
2(L + W) = 20
L + W = 20/2 = 10
Substituting L = 10 - W into equation 1, it becomes
W(10 - W) = 24
10W - W² = 24
W² - 10W + 24 = 0
W² - 6W - 4W + 24 = 0
W(W - 6) - 4(W - 6) = 0
W - 4 = 0 or W - 6 = 0
W = 4 or W = 6
Substituting W = 4 and W = 6 into
L = 10 - W, it becomes
L = 10 - 4 or L = 10 - 6
L = 6 or L = 4
