<h2>
Answer:</h2><h2>Angle ABE = 115.5°</h2><h2>Angle DBE = 25.5°</h2>
Hope this will help you lot.
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
Answer:
24/45 - 45/51
Step-by-step explanation:
Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.
P(left handed senior) = 14/(36 + 14 + 44 + 106) = 14/200 = 0.07 = 7%
Answer:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd