Answer:
The answer is 41
Step-by-step explanation:
400 = 900 + 625 - 1500 cos x
400 - 1525 = -1500 cos x
-1125 = -1500 cos
cos x = -1125/-1500
x = cos⁻¹ 0.75
x = 41.409622109
x ≈ 41°
Answer:
Step-by-step explanation:
Area of the land A - Length * Width
Given
A = 1 3/4 mi²
Length L = 2 1/3 miles
Required
Width of the property
Substitute into the formula;
A = LW
W = A/L
W = 1 3/4/(2 1/3)
W = 7/4 ÷ 7/3
W = 7/4 × 3/7
W = 3/4 miles
Hence the width of the property is 3/4 miles
<span>C. Trapezoid ABCD was rotated 90° counterclockwise around the origin and then reflected across the x-axis.</span>
Answer:
a) x = -270
b) y = 304/9 or y = 33.78
c) x = -37.8
Step-by-step explanation:
y varies directly with x so y = kx
a)
y = kx
k = y/x
k = 10/-30 = -1/3
So
y = -1/3 x
If y = 90 then
90 = -1/3 x
x = 90 *(-3) = -270
b)
k = y/x
k = -19/-4.5
k = 38/9
So
y = 38/9 x
If x = - 8 then
y = 38/9 *(-8)
y = 304/9 or y = 33.78
c)
k = y/x
k = -4.3 / 12.9
k = - 1/3
So
y = -1/3 x
If y = 12.6 then
12.6 = -1/3 x
x = 12.6 *(-3)
x = -37.8
