Answer:
Area of the shaded portion = (120π + 36√3)sq. m
Step-by-step explanation:
Area of the shaded region = Area of circle - Area of triangle
Given
radius of the circle = 12m
Area of the circle = πr²
Area of the circle = π(12)²
Area of the circle = 144π m²
Area of the sector = theta/360 * πr²
Area of the sector = 60/360 * 12²π
Area of the sector = 60/360 * 144π = 24π
Area of the triangle = 1/2 bh
Area of the triangle = 1/2 (12cos30)(12)
Area of the triangle = 36√3
Area of the shaded portion = (144π - 24π + 36√3)sq. m
Area of the shaded portion = (120π + 36√3)sq. m
598,909 is the answer because when I put that for a test I got it right
12 - (-2) (-4)
-2 * -4 = ?
A negative times a negative equals a positive value.
-2*-4 = 8
12 - 8 = ?
12-8 = 4
Because 4+8 = 12
Final answer: 4
The rest of the question is the options of the answer:
A) 5 miles
B) 15 miles
C) 150 miles
D) 185 miles
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Solution:
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In any triangle, the sum of two any sides must be greater than the remaining side.
Richmond, Danville, and Charlottesville form a triangle
The sides of this triangle are 85 , 100 and x
x must be one of the given options
So, we will check each option to find the correct answer
if x = 5 miles ⇒⇒⇒ ∴ 5 + 85 = 90 (<) 100 ⇒⇒ wrong option
if x = 15 miles ⇒⇒⇒ ∴ 15 + 85 = 100 (=) 100 ⇒⇒Wrong option
if x = 150 miles ⇒⇒⇒ ∴ 100 + 150 = 250 (>) 85
& 100 + 85 = 185 (>) 150
& 150 + 85 = 253 (>) 100 ⇒⇒⇒ correct option
if x = 185 miles ⇒⇒⇒ ∴ 100 + 85 = 185 (=) 185 ⇒⇒⇒ wrong option
∴ The <span>possible distance between Danville and Charlottesville is 150 miles
</span><span>
</span><span>The correct answer is option C) 150 miles
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