Answer:
215.20 ft^2
Step-by-step explanation:
The figure has 2 semi-circles.
First we find the area of each circle using the formula 
because that is the area formula for a circle.
The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.
Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.
Left: r=11
Right: r=4
Then, plugging both into the formula for area of a circle, we get
Left: 380.1327
Right: 50.26548
We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.
Then,
Left: 190.066
Right: 25.1327
190.066+ 25.1327= 215.199 = 215.2ft^2
Answer:
Commutative property of multiplication
Step-by-step explanation:
Commutative property of multiplication basically means that the order in which you multiply numbers does not matter.
For exampe:
3 x 4 = 4 x 3
12 = 12
In your case:
5 x 7 x 4 = 5 x 4 x 7
140 = 140
If we break that down:
5 x 7 x 4 = 5 x 4 x 7
35 x 4 = 20 x 7
140 = 140
You want to compare the square root of 55 using "mental math". Start off by choosing two perfect squares that you can think of that are close to 55.
If you don't know perfect squares then start with the number 2 and multiply it by itself. 2 times 2 equals 4, so 4 is a perfect square.
Take the number 3, multiply it by itself, and so on. Do this for all the numbers until you find two perfect squares that are close to 55.
The two perfect squares closest to 55 are the square roots of 49 and 64. Find the square root of these numbers.
√49 = 7
√64 = 8
Calculate how far 55 is from 49 and 64. 55 is 6 digits away from 49 and 9 digits away from 64.
This means the square root of 55 will be closer to the square root of 49; 7. Since we know that it will be closer to 7, you can put the less than sign for your answer.
√55 < 7.7
(The actual square root of 55 is ~7.4, so we were correct in determining the answer without using a calculator!)
M∠5=130 <span>and m∠4 =70
</span><span>so
m<2 = 180 - m<5
m<2 = 180 - 130
m<2 = 50
m<3 = 180 - (m<2 + m<4)
</span>m<3 = 180 - (50+70)
m<3 = 180 - 120
m<3 = 60
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