Let complementary angle be x,
Then the other angle is 4x
x + 4x = 90 ( complementary angles)
5x = 90
x = 90/5
x = 18,
The measure of the smaller angle = 18
And the measure of the larger angle = 4x
= 4 * 18
= 72
The supplementary of the larger angle is,
Let y be the other supplementary angle.
72 + y = 180 ( Supplementary angles)
y = 180 - 72
y = 108.
Hence, the other supplementary angle is 108 degrees.
Hope you understood. Plzzz let me know if you have any doubts.
Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
56.52 in^3
V(cylinder) = pi * r^2 * h
V = pi * 3^2 ^ 6
V = pi * 9 * 6
V = 54pi
V(sphere) = (4/3) * pi * r^3
V = (4/3) * pi * 3^3
V = (4/3) * pi * 27
V = 36pi
54pi - 36pi = 18 pi
18 * 3.14 = 56.52
For the first one it is x= (y+3)/4
B. 2 2/9 hours.
in 2 hours the will already have made 96 cupcakes so the only logical answer is B
