Find the area of the figure

Answer:

145.1327

Step-by-step explanation:

Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).

Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])

8 * 15 = 120

Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve

[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]

[tex]=\frac{(pi)(4)^2}{2}[/tex]

[tex]=\frac{(pi)16}{2}[/tex]

[tex]=8(pi)[/tex]

~25.1327

Now add up the two values,

120 + 25.1327

= 145.1327

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12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
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n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
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1
n+
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1 1 1
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20Σ
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