Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
645 feet.
Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this
x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215
We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
Answer:
Step-by-step explanation:
x/10=7
x=70
Answer:
-9h² - 12h - 3
Step-by-step explanation:
Follow the FOIL method:
FOIL = First, Outside, Inside, Last
Multiply the terms together:
First: 9h * -h = -9h²
Outside: 9h * -1 = -9h
Inside: 3 * -h = -3h
Last: 3 * -1 = -3
Combine like terms: 9h² + (-9h - 3h) - 3
9h² - 12h - 3
-9h² - 12h - 3 is your answer.
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Answer:
2*2*2*3*3*7
Step-by-step explanation:
prime facotrization = 2^3 x 3^2 x 7^1
2 x 2 x 2 x 3 x 3 x 7 = 504
