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Given: NB = 12 ft, Angle-120°<span>
Asked: area of the region that is not shaded.
Substitute the given values in the equation in finding the area of a circle.
</span>A = πr²
<span>A = ⅔π(12 ft)² </span>
<span>A = 96π ft²
(Since </span>120° is 1/3 of the circle. it is then understood that the unshaded parts must be 2/3 of the circle.)
Since you already have the area, find the area of the triangle to add it to the area of the circle to find the area of the unshaded part. By using a handy trigonometry, you can tell that their will be 2 triangles of 12 ft (if you are going to divide 120° angle). From this, you'll see that there will be one of the smaller triangles having a <span> the height of 6 ft and the base is 6√3 ft. Substitute the values.</span>
A = ½bh
<span>A = ½(6 ft)(6√3 ft) * 2 </span>
<span>A = 36√3 ft²
</span>
Add them up and you will have the exact answer 96π + 36√3 ft², when rounded to the nearest tenth, you will have <span> 364 ft². </span>
Answer:
2.1
Step-by-step explanation:
Given :
Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5
P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02
The expected weekly radio sales :
Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1
Hence, expected weekly radio sale = 2.1
Answer:
The simplified expression is:
⇒ 
Step-by-step explanation:
Given expression:
To simplify the given expression.
Solution:
In order to simplify, we will combine the like terms by removing the parenthesis.
We have:
⇒ 
Combining like terms.
⇒ 
⇒ 
In order to combine fractions, we will combine the whole number and the fraction separately.
⇒ 
⇒ 
Thus, the simplified expression is:
⇒
Do you know how to change mixed fractions to improper fractions
Answer:
Step-by-step explanation:
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