Answer:
6852 feet .
Step-by-step explanation:
Refer the attached figure
The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet
The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°
We are supposed to find How far do riders travel on the lift i.e.AC
In ΔABC
We will use trigonometric ratio





So, riders travel 6852 feet .
Find the least common multiple which is 24
Answer:
56 ways.
Step-by-step explanation:
This question is solved by using combinations and permutations chapters in the math book.
To put it simply, we need to find the number of 3 horse combinations we can make from 8 horses. This requires the combinations formula:

here n is the total number of objects to choose from, and r is the number of objects we require in the combination or group.
Since there are 8 horses, n= 8
Since we need to choose only 3 of them, and order does not matter, r= 3
Solving the equation above using these inputs gives us 56 unique ways we can choose the three winners.
Answer:
10.4 meters
Step-by-step explanation:
3² + 10² = c²
9 + 100 = c²
c² = 109
c = √109 ≈ 10.4
Answer:
Answer 24 cm^3
Step-by-step explanation:
If the dimensions are 1/2 the volume is 1/8 the original volume. There are 2 ways to do this. I'm going to choose the most straight forward.
Formula
V = L * w * h
Givens
L = 6
w = 8
h = 4
Solution
V_original = 6 * 8 * 4 = 192
V_half = 3 * 4 * 2 = 24
V_original / V_half = 192/24 = 8/1
So the other way around (V_half/V_original) = 1/8