Answer:
He had hiked 3/12 of a mile so the answer is 8/12 of a mile
Step-by-step explanation:
You need to make 1/4 into twelves by multiplying both sides by 3 to get 3/12.
You take that and subtract it from the total distance. 11/12 - 3/12 = 8/12
Answer:
Step-by-step explanation:
We are given that:
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
Simplify:
Answer:
A) 42.7 units
Step-by-step explanation:
Here we have to use formula to find the circumference of a circle.
Circumference of a circle = 2*π*r
The value of π = 3.14
Given: The radius of the circle = 6.8
Now plug in the given value and value of π in the formula.
The circumference of the circle = 2*3.14*6.8
C = 6.28*6.8
C = 42.7
Answer: A) 42.7 units
Thank you.
The triangle is a scalene acute triangle.