Answer:
63.4°
Step-by-step explanation:
Pole height = 1
shadow = 1/2
tan ∠CAB = 1 / (1/2) = 2
∠CAB = 63.4°
For this case we have a function of the form:

Where:

We must find the value of the function when
. Substituting:

Thus, the value of the function is 2 when 
Answer:

22(0.05) = 1.1
You have to add this new amount of money to the old so 22+1.1
Answer:
95%
Step-by-step explanation:
To find the average, we add up all the scores and divide by 3.
We know 2 of the scores, but one is unknown, we will call it x.

Jenny wants the average to be 85, so we can set the expression equal to 85
=85
Multiply by 3 on both sides
160+x=255
Subtract 160 from both sides
x=95
She will have to score a 95 to pass the class with an 85 average
Hope this helps!
Answer:

Step-by-step explanation:
The formula of a volume of a square pyramid:

b - edge of a base
H - height
We have b = 8cm and the triangle 90 - 60 - 30. The sides of that triangle are in ptoportion 1 : √3 : 2 (look at the picture).
From the picture we have

Therefore

Substitute:
