Area of a triangle = (height * base ) / 2
height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
There were 16 states added.
Tennessee, Ohio, Louisiana, Indiana, Mississippi, Illinois, Alabama, Maine,
Missouri, Arkansas, Michigan, Florida, Texas, Wisconsin, and California
Answer:
x > 90, C
Step-by-step explanation:
20 + 2 < x / 3 - 8
x / 3 - 8 > 22
x / 3 > 30
x > 90
Answer:
A. -2, 1
Step-by-step explanation:
Observe the chart and see where the f(x) and g(x) intersect.
When x=-2, f(-2)=g=(-2) and when x=1, f(1)=g=(1).
Y = height
x = distance from tower
tan(19.9) = y/x
tan(21.8) = y/(x-50) ( x is 50 feet closer so subtract 50 from x)
find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400
replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)
rewrite to solve for height:
0.362x = y
0.400(x-50) = y distribute the 0.400 and rewrite as 0.400x-20 =y
now solve:
0.362x = 0.400x-20
add 20 to each side:
0.362x +20 = 0.400x
subtract 0.362x from each side:
20 = 0.038x
divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet
now that x is known replace x in the original equation and solve for y:
tan19.9 = y /x
0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5
the height of the tower is 190.5 feet
