Answer:
The solution is in the image
The goat is tied in the four corners of an 8-foot by 4-foot pump house. The rope is 8 feet. The goat is eating the grass, forming a circle The pattern is 3/4 of a circle radius 8 and 1/4 of a circle radius 4.
Getting the area of radius of 8 feet
Area = pi * r^2
Area = pi * 8^2
Area = 201.06 feet^2
Getting the area of radius of 4 feet
Area = pi * r^2
Area = pi * 4^2
<span>Area = 50.27 feet^2
</span>
3/4 of 201.06 = 150.80 feet ^2
1/4 of 50.27 = 12.60 feet^2
So the total area is 153.40 feet^2
Answer:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
(0.3672 , 0.7328)
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given Random sample size n =40
Sample proportion
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
Answer:
ok so u know that all triangles in the inside are equal to 180
Step-by-step explanation:
1. 180-162= 18 angle a is 18, now to solve for b 180-122-18=40, angle b is 40
2.180-171=9 angle a is 9, now to solve for b 180-128-9=43, angle b is 43
3.180-35-22=132 angle c is 132, now to solve for angle d 180-22=158, angle d is 158
4. 180-20-29=131 angle c is 131, now to solve for angle d 180-20=160, angle d is 160
Answer:
option c
Step-by-step explanation:
(4 - 2i) + (12 + 7i)
multiply the brackets first
4 - 2i + 12 + 7i
combine like terms
16 + 5i
