7. Find the missing lengths of the sides
1 answer:
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Answer: pounds
Step-by-step explanation:
Let x pounds of $ 0.66 per lb candies mixed with y pounds of $ 1.31 per lb candies to obtain 9 lb of $ 0.97 per lb candies,
Hence, we can write,
x + y = 9 ------- (1)
And, 0.66 of x + 1.31 of y = 0.97 of (x + y)
⇒ 66 x + 131 y = 97 (x+y)
⇒ 66 x +131 y - 97 x - 97 y = 0
⇒ -31 x + 34 y = 0 ------(2)
By solving equation (1) and (2)
We get,
and
Hence, the quantity of 0.66 per lb candies = pounds
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A =
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²