First, you need to convert 5 1/4 feet to inches. 5.25 x 12 = 63 inches. The ratio of the height of the model to the height of the actual statue in simplest form is 1/42. I don't know if this is correct but I hope this helps you in any way.
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Answer:
--- Variance
Step-by-step explanation:
Given
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
For 59 - 66
For 67 - 74
For 75 - 82
For 83 - 90
So, the table becomes:
The mean is then calculated as:
-- approximated
Solving (b): The sample variance:
This is calculated as:
So, we have:
-- approximated
B.) 8(x+4) is the best choice
.21 as a fraction would be 21/100
