Answer:
feet, or 14.14 feet
Step-by-step explanation:
Use the arc length formula:
s = rθ
To use the formula, we have to convert the central angle to radians.
90° is equivalent to 
radians, so plug this and the radius into the formula:
s = rθ
s = (9)()
s =
So, the length of the arc is 
feet, or approximately 14.14 feet
Step-by-step explanation:
4t-2k+5k-t
=3t -3k
= 3( t-k)
Answer:
Step-by-step explanation:
It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.
You win 2 ways
- H - H
- T - T
- Probability 1/2
You lose 2 ways.
- H - T
- T - H
- Probability 1/2
Expectation
E = 1/2 * 3 - 1/2 * 4
E = 1.5 - 2
E = -0.5
Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.
Answer:
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
We use just the positive root, since we are looking for an actual length. then, the requested side is:
The answer is 291.60 because you multiply 12 x 9 which equals 108 then multiply 108 x 2.70 which equals 291.60
