Answer:
24.0 square feet
Step-by-step explanation:
The area of the sector is given by ...
A = (1/2)r²θ . . . . . where θ is the angle in radians
The area of the circle is the same, with θ=2π, so is ...
A = πr²
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In this problem, the area of the sector is ...
A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²
The area of the circle is ...
A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²
Then the total area of the exclamation point is ...
16.9646 +7.0686 ≈ 24.0 . . . ft²
The area is about 24.0 square feet.
<h3>
Answer: B) angle 4</h3>
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Explanation:
We can think of lines L and M as sort of train tracks. Inside the train tracks we have the interior angles of: 3, 4, 5, 6
Angles 3 and 6 are one pair of alternate interior angles. They are on alternate sides of the transversal line N.
The other pair of alternate interior angles are 4 and 5
Alternate interior angles are only congruent when L and M are parallel.
Answer:
In 180 days the three of them will do their laundry again on the same day.
Step-by-step explanation:
we need to find the least common factor or 9, 10 and 12:
LCM(9, 10, 12) = 180
1/5(2x - 10) + 4x = -3(1/5x + 4)
0.4x - 2 + 4x = -0.6x - 12
4.4x - 2 = -0.6x - 12
5x - 2 = -12
5x = -10
x = -2
Answer:
Brand D has the highest return rate so they should eliminate that one.
Step-by-step explanation:
brand A - .0481
brand B - .0307
Brand C - .0410
Brand D - .0788
