Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
Question is Incomplete;Complete question is given below;
Jerry sold 7/20 of the total number of tickets that were sold for the spring band concert. What percent of the total number of tickets did jerry sell.
Answer:
Jerry sold 35 % of the total tickets.
Step-by-step explanation:
Given:
Jerry sold tickets = 
of total number of tickets
We need to find the percent of the total number of tickets Jerry sold.
Solution:
to find the percent of the total number of tickets Jerry sold we need to multiply the fraction by 100 we get;
framing in equation form we get;
Percent of the total number of tickets Jerry sold = 
Hence Jerry sold 35 % of the total tickets.
Since we are only dealing with integers, we do not need to worry about decimals. Therefore, finding the exact values of sqrt(19) and sqrt(77) is not important. We can just estimate.
19 is between 16 and 25 (which are 4^2 and 5^2), so the square root of 18 is some number between 4 and 5.
77 is between 64 and 81 (which are 8^2 and 9^2), so the square root of 77 is some number between 8 and 9.
So the integers (whole numbers) that are between our two sqaure roots are 5, 6, 7, and 8.
Add them up and we have our answer.
5+6+7+8 = 26
