If it makes it any easier, think of f(x) as y.
f(x)= 4(-3) -5
f(x) = -12 -5
f(x) = -17
Answer:
The U.S. PPF rotates outward (abticlockwisely), increasing the x-axis intercept with no change in the y-axis intercept
Step-by-step explanation:
Fracking is a method of improving production capabilities on oil and gas production. Although, it usually leads to environmental pollution later, it does bring in higher yields of oil and gas.
If the oil and gas production on the x-axis increases without a simultaneous, almost equal increase in production of other goods and services (on the y-axis), the data points for the x-axis shift more to the right and the PPF rotates more anti-clockwisely outward, thereby increasing the intercept on the now improved x-axis and not too much change on the intercept of the y-axis.
Answer:
364.8 ft^2.
Step-by-step explanation:
I assume you want the area of the figure.
Total area = area of the top triangle + area of the trapezium
= 1/2 * base * height + 1/2 * height * ( sum of the parallel sides)
= 1/2 * 18 * 6 + (14/2)( 18 + 26.4)
= 54 + 310.8
= 364.8 ft^2.
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
(12+13=25) (25+26=51) 51 is You're answer.
Hope this helps! :)