Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
As the x value increases by 1, the y value increases by 4. If the x value skips from 4 to 25, it increaes by 21. The y value can be found by multiplying 21 * 4 and adding the previous y value, 7. 21 * 4 is 84 and 84 + 7 = B) 91
Answer:
The Answer for 19 is x+y=38.
The Answer for 20 is 2x+5y=100.
Answer:
216
Step-by-step explanation:
First find the base area
0.25 * √[(5 + 6 + 5) * (-5 + 6 + 5) * (5 - 6 + 5) * (5 + 6 - 5)] = 12
Equation:
12 * (5 + 6 + 5) + (2 * 12) = 216
Answer: Percent change = 20%
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Work Shown:
A = old value = 25 (last week's number)
B = new value = 30 (current week's number)
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (30-25)/25 ] * 100%
C = [ 5/25 ] * 100%
C = 0.20* 100%
C = 20%
The percent change is 20%
The positive value of C indicates we have a percent increase.
