Answer:
Tan T = 7/24
Step-by-step explanation:
Firstly, please check attachment to have a picture of the triangle we are solving.
Now, we are concerned with calculating the ratio that represents the tangent of angle T.
Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.
In this question, our opposite is 7 while the adjacent is 24.
Thus Tan T = 7/24
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers
of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs
meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.
First find the area of the parallelogram
Area of parallelogram = b x h
= 12 x 7
= 84
Then find area of kite
Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42
Now we are gonna subtract the area of the kite from the area of the parallelogram.
84 - 42 = 42
Therefore the area of the shaded region is 42.
Answer:
No, middle term should be 40x.
Step-by-step explanation:

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.
Answer:
y = 5x
Step-by-step explanation: