Answer:
option C can be used.
Step-by-step explanation:
hope this helps you.
Answer: Choice C) 41.13 square meters
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This figure is a composition of two quarter-circles and a square
Area of quarter circle = (1/4)*(area of circle)
Area of quarter circle = (1/4)*(pi*r^2)
Area of quarter circle = (1/4)*(pi*4^2)
Area of quarter circle = (1/4)*(pi*16)
Area of quarter circle = (1/4)*16*pi
Area of quarter circle = 4pi
There are two quarter circles, so the two circular areas add to 4pi+4pi = 8pi
Area of square = s*s = 4*4 = 16 square meters
Add the square area to the circular area: 8pi+16
Now use a calculator to find 8pi+16 = 41.1327412287183 which rounds to 41.13
Answer: 
Step-by-step explanation:
For this exercise you need to apply the Pythagorean Theorem. This is:
Where "h" is the hypotenuse of the Right triangle and "l" and "m" are the legs.
In this case, you can identify that:
Knowing these values, you can substitute them into :
Now you must solve for "c":
Evaluating, you get:
To simplify the result:
- Descompose 32 into its prime factors:
- By the Product of powers property, you know that:
- Make the substitution:
- Finally, knowing that ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, you get:
Answer:
20
Step-by-step explanation:
interior angle + exterior angle = 180°
162° + exterior angle = 180° ( subtract 162° from both sides )
exterior angle = 18°
the sum of the exterior angles of a polygon = 360° , then
number of sides = 360° ÷ 18° = 20
3-in plus 1.5-out every minute means a net gain of 1.5 per minute. You need to fill (12 - 3) = 9 gallons. At 1.5 per minute, it takes 9/1.5 = 6 minutes if the drain and the faucet arr both open, but only (9/3)=3 minutes if you close the drain while you fill the tub.
