Answer:
263.08 m²
Step-by-step explanation:
The fraction of circle area that a sector represents is proportional to the central angle.
<h3>Proportion</h3>
circle area/circle angle = sector area/sector angle
circle area / 360° = 85.5 m² / 117°
Multiplying by 360°, we have ...
circle area = (360/117)(85.5 m²) = 263.08 m²
The area of the circle is about 263.08 m².
Answer:
x+y= 59, x-y= -13
Step-by-step explanation:
We know that x is the smaller number and y is the bigger number. We also know that the difference is 13, meaning x-y= -13. Since the sum of the two numbers is 59, x+y= 59
The values of the x in the given equation are x = 6.46 and x = -0.46
<h3>Solving an equation </h3>
From the question, we are to solve the equation for x
The given equation is
(x+3)² -10 = 2
First, add 10 to both sides of the equation
(x+3)² -10 +10 = 2 +10
(x+3)² = 12
Now, take the square root of both sides to get
x + 3 = ±√12
∴ x = 3 ± √12
x = 3+√12 OR 3-√12
x = 3 + 3.46 OR 3 - 3.46
x = 6.46 OR -0.46
Hence, the values of the x in the given equation are x = 6.46 and x = -0.46
Learn more on Solving an equation here: brainly.com/question/24334139
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You can make a proportion of 8/20 to 42/x and then simply cross multiply from there to solve for y
