Answer:
A
Step-by-step explanation:
to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative
example, |4| = 4 and -4
first solution will be when we're solving for the positive value:
+(-4x+7) ≥ 27
-4x + 7 ≥ 27
-4x ≥ 20
x ≤ -5 [reverse the symbol when mult or div by a negative]
-(-4x+7) ≥ 27
4x - 7 ≥ 27
4x ≥ 34
x ≥ 34/4 or x ≥ 8 1/2
solution: x ≤ -5 or x ≥ 8.5
Answer:26
Step-by-step explanation:
60-8=52
52•2=26
Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°
Answer:
Area of the parallelogram is approximately 4,456.2 square feet
Step-by-step explanation:
The lengths of the sides of the parallelogram are 65 feet and 87 feet
The measure of the angle between the sides, Y = 52°
The formula for finding the area of a parallelogram is given as follows;
Area of a parallelogram = A·B·sin(Y)
Where;
'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them
Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;
Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²
