Answer:
w= -11
Step-by-step explanation:
1. Subtract 2.8 from the right side and add it to the left side. Now you have 2+6.6=1.4.
2. Subtract 2 from the left side and add it to the right side. Now you have 6.6= -.6
3. Divide both sides by -.6. You will get -11=w
100 * ( 4 / 100 ) * ( 26 / 12 ) = 4 * ( 26 / 12 ) = 26 / 3 = $ 8.66 ;
Answer:
(a) 12.96 ft²
(b) 21.5 in²
Step-by-step explanation:
(a) For the first diagram
Area of the shaded region (A) = Area of Tripezium- area of circle
A = [1/2(a+b)h]-[πr²]............... Equation 1
Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.
From the diagram,
Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.
Constant: π = 3.14
Substitute these values into equation 1
A = [12(15+6)/2]-(3.14×6²)
A = 126-113.04
A = 12.96 ft²
(b) For the second diagram,
Area of the shaded region (A') = Area of square- area of circle
A' = (L²)-(πr²)............. Equation 2
Where L = lenght of one side of the square, r = radius of the circle
From the diagram,
Given: L = 2r = (2×5) = 10 in, r = 5 in
Substitute these values into equation 2
A' = (10²)-(3.14×5²)
A' = 100-78.5
A = 21.5 in²
You can subtract the populations to see by how many more people/citizens does country B have
Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
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1 = 2x - 9
+9 +9 having x on one side
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10 = 2x
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Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
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5 = x
Solution: x = 5
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Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
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Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
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Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
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