The Solution.
Representing the problem in a diagram, we have
By formula,

In this case,

Substituting these values in the formula above, we get

Clearing the bracket, we get



Dividing both sides by 2, we get

Therefore, the correct answer is option C.
Answer: 104 miles
Step-by-step explanation:
If 2.5 in = 52 mi, and 2.5 × 2 = 5, then 2.5(2) = 52(2)
5 in = 104 mi
We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
If you want to learn more, you can read:
brainly.com/question/15345177
Answer:
a) 9 meters.
b) The total change in temperature was of 288ºC
Step-by-step explanation:
Both these questions can be solved using rules of three.
a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?
8s - 72m
1s - x m



9 meters.
b) In 1 hour, heated by 6ºC. How much in total during 48 hours?
1h - 6ºC
48h - xºC
x = 48*6
The total change in temperature was of 288ºC