Answer: 17
Step-by-step explanation:
y= 1
(3y + 2)(7y)
(3(1) + 2(7(1)) Replace y with given number
(3 + 2(7)) Multiply 1 to 3 and 7
(3 + 14) Multiply 2 and 7
(17) Add 3 and 14
The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
<h3>Calculating area </h3>
From the question, we are to determine the area of the shaded region
The area of the shaded region = Area of the semicircle - Area of the triangle
First, we will determine the diameter, d, of the semicircle
d² = 3² + 4² (<em>Pythagorean theorem</em>)
d² = 9 + 16
d² = 25
d = √25
d = 5
∴ Diameter of the semicircle is 5
Thus,
Radius, r = 5/2 = 2.5
Now,
Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)
Area of the shaded region = 1/2(π×6.25) - 1/2(12)
Area of the shaded region = 3.125π - 6
Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6
Learn more on Calculating area here: brainly.com/question/14989383
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Answer:
x=1+√13 or x=1−√13
Step-by-step explanation:
Step 1: Subtract 39 from both sides.
5x2−10x−21−39=39−39
5x2−10x−60=0
For this equation: a=5, b=-10, c=-60
5x2+−10x+−60=0
Step 2: Use quadratic formula with a=5, b=-10, c=-60.
x=
−b±√b2−4ac
2a
x=
−(−10)±√(−10)2−4(5)(−60)
2(5)
x=
10±√1300
10
x=1+√13 or x=1−√13
0.45 gallons per dollar would be the answer. Hope this helps! :)