<h3>
Answer:</h3>
818.4 in²
<h3>
Step-by-step explanation:</h3>
The area of a circular sector is given by ...
... A = (1/2)r²·θ . . . . . θ in radians
The area of the isosceles triangle with apex angle 150° is given by ...
... A = (1/2)r²·sin(θ)
Then the area of the shaded segment is ...
... A = (1/2)r²·(θ - sin(θ))
... A = (1/2)·(27.8 in)²(5π/6 -sin(5π/6)) ≈ 818.4 in²
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If you (erroneously) use 3.14 for π, you get 817.9 in². Some answer keys expect you to use that value, even though it does not have sufficient accuracy for this problem.
1/2,3/4,2/3...................
Answer:
The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".
Step-by-step explanation:
The given expression is
We need write a word problem which is solved by the above expression.
Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.
Solution:
Let the total number student be x.
Divide both sides by 2/3.
Therefore, the total number of students is 12.
1/3 for the first one, and 3/4 for the second one :)
To find c, you must isolate it.
To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7
To divide fractions, follow these steps:
Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator.
5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction.
13/14 • 7/5
13 • 7 = 91
14 • 5 = 70
13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible.
91/70
Since 70 can go into 90, you can turn this into a mixed number.
1 and 21/70
Now simplify 21/70.
Both can be divided by 7.
21 ÷ 7 = 3
70 ÷ 7 = 10
So simplified, 91/70 equals 1 and 3/10.
As a decimal, this is 1.3.
So the answer is c = 1.3, or 1 and 3/10.
Hope this helps :)
