Answer:
x ≈ 54.5°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x =
=
, then
x =
(
) ≈ 54.5° ( to the nearest tenth )
answer : 3/5
Jasmine has 15 coins in her pocket. She has 3 nickels, 3 quarters, 3 dimes, and 6 pennies. Jasmine chooses a coin at random.
number of Total outcomes = 15
she selects a dime or a penny from her pocket
number of outcomes of a dime =3
number of outcomes of a penny =6
Number of outcomes of a dime or a penny = 9
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
Probability ( a dime or a penny) = ![\frac{9}{15} =\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B15%7D%20%3D%5Cfrac%7B3%7D%7B5%7D)
Answer:
Grandstand ticket = $380.
General admission ticket = $220
Step-by-step explanation:
Let the price of One grandstand ticket be X dollars and the price of One general admission ticket be Y dollars.
Then according to question,
6X + 2 Y = 2720 -(1)
Also,
4X + 4 Y = 2400 -(2)
Simplifying second equation we get ,
X + Y = 600 , Thus , X = 600 - Y .
Put X = 600 - Y in Equation 1.
So,
3600 - 6Y + 2Y = 2720
4Y = 880
Y = $220
Thus, X = 600 - 220 = $380.
So,
Cost of grandstand ticket is $380 and cost of general admission ticket is $220.
The given data is
x 0 π/2 π (3/2)π 2π
y -4 0 4 0 -4
The curve that models the data is
y = -4 cos(x) as shown below.
The rate of change of y from x = π to x = 2π is
![\frac{-4-4}{2 \pi - \pi } =- \frac{8}{ \pi }](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4-4%7D%7B2%20%5Cpi%20-%20%5Cpi%20%7D%20%3D-%20%5Cfrac%7B8%7D%7B%20%5Cpi%20%7D%20)
Answer: