Answer:
1. After rearranging the formula as 's' i.e speed is the subject will be given as
.
2. The average speed of a truck that travels a journey of 748 km in 11.5 hours is 65.04 kilometre per hour.
Step-by-step explanation:
Ans 1. subject means it come first in the sentence, hence here question is like write speed first in the formula so we have
![speed = \frac{distance}{time} \\ss = \frac{dd}{tt}](https://tex.z-dn.net/?f=speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D%20%5C%5Css%20%3D%20%5Cfrac%7Bdd%7D%7Btt%7D)
Ans 2.
Given :
Total distance of a journey = 748 km
Total time taken for the journey = 11.5 h
To Find:
Average speed =?
Solution :
average speed is defined as of total distance covered divided by total time taken.
So, we have
![\textrm{average speed} = \frac{\textrm{total distance covered}}{\textrm{total time taken to complete total distance}} \\= \frac{748}{11.5} \\= 65.04\ km/h](https://tex.z-dn.net/?f=%5Ctextrm%7Baverage%20speed%7D%20%3D%20%5Cfrac%7B%5Ctextrm%7Btotal%20distance%20covered%7D%7D%7B%5Ctextrm%7Btotal%20time%20taken%20to%20complete%20total%20distance%7D%7D%20%5C%5C%3D%20%5Cfrac%7B748%7D%7B11.5%7D%20%5C%5C%3D%2065.04%5C%20km%2Fh)
From the law of sines, we have
![l = h\sin(\theta) = h\cos(\alpha)](https://tex.z-dn.net/?f=%20l%20%3D%20h%5Csin%28%5Ctheta%29%20%3D%20h%5Ccos%28%5Calpha%29)
where
is the leg we're interested in,
is the hypothenuse,
is the angle opposite to
, and
is the angle between
and
.
So, in the first case, we can use
![x = 15\sin(35) \approx 8.6](https://tex.z-dn.net/?f=%20x%20%3D%2015%5Csin%2835%29%20%5Capprox%208.6%20)
And in the second excercise, we use
![x = 11\cos(44) \approx 7.6](https://tex.z-dn.net/?f=%20x%20%3D%2011%5Ccos%2844%29%20%5Capprox%207.6%20)
Answer:
d
Step-by-step explanation:
listen bud i am trying to level up so i am doing the challenge 25 questions for 400 points i need 3 brainliest on the way can you help me out with this?
Answer: B. 105 mph
Step-by-step explanation:
Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.