Here we have to use the formula of area of sector, which is

Theta = 70 degree, and radius is unknown here. It is given that area = 7 pi .
Substituting the given values in the formula, we will get



Therefore the correct option is the first option .
Answer:
x =149
Step-by-step explanation:
Answer:
The price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).
Step-by-step explanation:
Given:
Retail price of the phone $199, sales tax 8% of the retail price and rebate $50.
So, for getting the price paid for phone add the retail price, sales tax and rebate.
Now, the amount of sales tax :
8% of $199
⇒
⇒
⇒
.
Sales tax is $15.92.
According to question:

.
Therefore, the price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).
Answer:
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Step-by-step explanation:
Let the event that Pete studies be S.
Let the event that Pete passes the test be P.
The probability that he studies for his test and then passes it is P(S n P) = 7/10
The probability that Pete studies is P(S) = 7/8
The probability that Pete passes his test given that he studied = P(P|S)
The conditional probability, P(A|B) is given mathematically as
P(A|B) = P(A n B) ÷ P(B)
So, the required probability, P(P|S) will be
P(P|S) = P(P n S) ÷ P(S)
P(P n S) = P(S n P) = (7/10)
P(S) = (7/8)
P(P|S) = P(P n S) ÷ P(S)
= (7/10) ÷ (7/8)
= (7/10) × (8/7)
= (8/10) = (4/5) = 0.80
The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80
Hope this Helps!!!
Answer:
12 different vacation caombinations
Step-by-step explanation:
has 3 options of Theme Park and 4 options of length of trip

Hope this helps