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
Answer:
D. -2x - 8
Step-by-step explanation:
1) Simplify 1/3(6x+15) to 6x+15/3
-6x+15/3 - 3
2) Factor out the common term 3.
-3(2x+5)/3 - 3
3) Cancel 3.
-(2x+5)-3
4) Remove parentheses.
-2x-5-3
5) Collect like terms.
-2x+(-5-3)
6) Simplify
-2x-8
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
All you have to do is multiply 12 times .20 when you get your answer you add that to 12 and that’s your answer