how many phone numbers are possible in the (404) area code if the seven digit number have the form FGH- where F is restricted to 3-9 and X, G and H can be any digit 0-9?

900 phone numbers possible.

Step-by-step explanation:

Given the seven digit numbers are of the form:

FGH-XXXX

Possibilities for F = 3 - 9 and X i.e. 9 possibilities

Possibilities for G = 0 - 9 i.e. 10 digits

Possibilities for H = 0 - 9 i.e. 10 digits

To find:

How many numbers are possible ?

Solution:

This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.

Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9

Number of ways to select G = 10 digits from 0 to 9

Number of ways to select H = 10 digits from 0 to 9

XXXX part will be same in all the numbers.

So, total phone numbers possible =

Hence, the answer is:

900 phone numbers possible.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet