Tan 40 = h / 20 where h = height of the pole.
h = 20 tan 40 = 16.78 feet
Answer:
180
Step-by-step explanation: 60+60 =120 120+6
Answer #1- 8 mins
Answer #2-$0.571
Explanation for #1:
For this first equation you need to find 1 mike per ___ minutes. To get from 10 to 1, you need to divide by 10. This can also be put into this equation—
10x=80
So, to find how many minutes for each mile, divide 80 by 10. This will result in 8. This means that Dan ran 1 mile in 8 minutes.
Explanation for #2:
For this next one we see that we need to find how much Yoko spent on each pound of rice.
Since we are trying to find 1 pound of rice per ___ dollars, we need to divide both 14 and 8 by 14. This can also be put into this equation—
14x=8
Once this is done we know that 1 pound of rice is equal to 0.571428571428571 cents. But, since you are required to round to the nearest hundredth, the answer will only be $0.571.
Hope this helps comment below for more questions :)
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
∠b = 75° [Vertical angles]
If the lines f and g are parallel then,
∠b = ∠c [Corresponding angles]
Therefore, ∠c = 75°
Since m∠c + m∠d = 180° [Supplementary angles]
75° + m∠d = 180°
m∠d = 180° - 75°
m∠d = 105°
Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.
Option (4) will be the answer.