Answer:
+75
Step-by-step explanation:
Are you looking for an equation or is there more to the question
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
So for question 7 part A the picture will be a triangle similar to the the one that shows the umbrella's height. But the base will be 40 and the height will be 130.
for part B the angle of depression can be found using the trigonometric function of tangent.
tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees
I hope i am right
Angle 1 and 2 are supplementary angles and need to equal 180 degrees
so angle 1 + angle 2 = 180:
6x+50 + 4x+40 = 180
combine like terms:
10x + 90 = 180
subtract 90 from each side:
10x = 90
divide both sides by 10
x = 9
