The area of the shaded regions is: 44π
<h3>What is the Area of a Circle?</h3>
Area of a circle where "r" is the radius is determined using the formula: πr².
The figure given has three circles, namely:
- Circle A with radius of 8 cm.
- Circle B with radius of 4 cm.
- Circle C with radius of 2 cm.
The area of the shaded regions = <em>Area of circle A - Area of Circle B + Area of Circle C</em>
Area of Circle A = (π)(8)² = 64π
Area of Circle B = (π)(4)² = 16π
Area of Circle C = (π)(2)² = 4π
Thus:
The area of the shaded regions = 64π - 16π + 4π
The area of the shaded regions = 44π
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Answer: x = 4
y = - 3
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x-3y = 13 ------------------------1
2x+4y=-4--------------------------2
We would apply the method of substitution in solving the equations. From equation 1, we would make x to stand alone by adding 3y to the left hand side and the right hand side of the equation. It becomes
x - 3y + 3y = 13 + 3y
x = 13 + 3y
Substituting x = 13 + 3y into equation 2, it becomes
2(13 + 3y) + 4y = - 4
26 + 6y + 4y = - 4
26 + 10y = - 4
Subtracting 26 from the left hand side and the right hand side of the equation, it becomes
26 - 26 + 10y = - 4 - 26
10y = - 30
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10y/10 = - 30/10
y = - 3
Substituting y = - 3 into x = 13 + 3y, it becomes
x = 13 + 3 × - 3
x = 13 - 9
x = 4
Answer:
what grade are you in
Step-by-step explanation:
Answer:
He can buy 24 roses
Step-by-step explanation:
First, we subtract 3 from 21 to get 18. After that to get the price of each rose, we divide 21 by 0.75 to get 24.
We can reject the negative height
Answer: 6 meters, second choice