Answer:
y e s ∩ω∩
Step-by-step explanation:
(I think it is correct)
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
Answer:
Step-by-step explanation:
We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:
, where a and b are the sides and C is the angle in between.
Let's substitute 115 for a, 178 for b, and 41 for Angle C.
Thus:
First, find out how much each man works. If eight men take 10 days to build 150 m of wall, then that means that it takes 80 man days to build 150 m. One Man day is then 150÷80, in other words 1.875. If eight men have already been working for six days, then they have spent 8×6 man days, 48. 48 men days times 1.875 m of wall per man day equals 90 m of wall have been built. So, you have four days left to build the remaining 60 m of wall as well as 45 extra meters, in other words, 105 m total. 105 m divided by four days equals 26.25 m need to be built every day. Since one man builds 1.875 m of wall every day, to find the number of men total you need for the last four days, take 26.25÷1.875, Which equals 14 exactly. 14 is not the answer however, because it’s asking how many more men you need. Since you already have eight, you need six more to make 14
The answer is six more men
