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:
The simple interest accumulated on a principal of $ 2,500 at a rate of 6.25% per year for 2.5 years is $ 390.63.
Step-by-step explanation:
Given
- Interest rate r = 6.5% = 0.065
- Time period = t = 2.5 years
To determine
Interest I = ?
Using the simple interest formula
I = Prt
substituting P = 2,500, r = 0.065 and t = 2.5
I = 2500 × 0.0625 × 2.5
I = 390.63
Thus,
I = $390.63
Therefore, the simple interest accumulated on a principal of $ 2,500 at a rate of 6.25% per year for 2.5 years is $ 390.63.
Answer:
.636363
Step-by-step explanation:
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble