Answer:
c) 20
Step-by-step explanation:
The circumference is given by
C= pi *d
Substitute in what we know
62.8 = 3.14*d
Divide by 3.14
62.8/3.14 =3.14d/3.14
20 =d
Interesting problem ...
The key is to realize that the wires have some distance to the ground, that does not change.
The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:
D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:
L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:
L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)
So the pole is 26.88 ft long!
If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!
Your statement does not mention the distance between the wires and the ground. Do you have it?
<h2>
Answer:</h2>
- Trip to work has rate: 24 mph
- Trip back to home has rate: 18 mph
- Distance to work is: 480 m
<h2>
Step-by-step explanation:</h2>
We know that speed is defined as the ratio of distance to time.
i.e.
Let the distance traveled to work be: x m.
Now, while going to work it takes a person 20 minutes.
This means that the speed of the person while going to work is:
Also, the time taken to come back home is: 30 minutes.
This means that the speed of person while riding to home is:
Also, it is given that the rate back is 8 mph slower than the trip to work.
This means that:
i.e.
Hence, the distance to work is: 480 m.
Also, the rate while going to work is:
and the trip back to home is covered with the speed:
Answer:
min at x = -3
Step-by-step explanation:
steps are in the pic above.
The values of the three angles in the given triangle are; B = 14.583°;
A = 77.917°; C = 87.5°
<h3>What is the sum of angles in the triangle?</h3>
We are told that the measure of angle C is six times the measure of angle B. Thus, this can be expressed as;
C = 6B
We are told that 4 times angle A is 20 more than 20 times angle B. Thus, this can be expressed as;
4A = 20B + 20
Divide through by 4 to get;
A = 5B + 5
No, we know that sum of angles in a triangle is 180°. Thus;
5B + 5 + B + 6B = 180
12B + 5 = 180
12B = 180 - 5
12B = 175
B = 175/12
B = 14.583°
A = 5(175/12) + 5
A = 77.917°
C = 6 * 175/12
C = 87.5°
Read more about Angles in a triangle at; brainly.com/question/7620723
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