Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
65
Step-by-step explanation:
6+5=11
The area of a rectangle is:
A = length × width
A rectangular television screen has an area:
A = w² + 2w inches²
width = w
length = A / width = (w² + 2w) / w = w(w + 2) / w = <u>w + 2</u>
Ansver:
<h2><u>
length = w + 2</u></h2><h2><u>
</u></h2><h2><u>
</u></h2>
Okay! Let's write out all the numbers:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Now, let's bold (or you can circle them... or do really anything to them as long as they are standing out to you) the even numbers (remember all even numbers are divisible by 2)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Now let's list all the ones we highlighted:
2
4
6
8
10
12
14
Count up how many numbers that is.
You should get 7.
So, our answer is 7 out of 15 numbers.
Or as a fraction:
7/15 is our answer.
Note: A probability is the number of chances something has to happen out of the total number of chances. So in this case the number of even numbers out of the total number of numbers. You can apply this to any probability problem. Hope this helps!
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