Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the histogram is not attached.
However, the solution to your question is to select the interval with the highest frequency
Take for instance, after getting readings from the histogram, yiu have:
1 - 10: 8
11 - 20: 5
21 - 30: 11
31 - 40: 2
And so on.......
Interval 11 - 20 will represent the required interval because it has the highest frequency.
Answer:
pic?
Step-by-step explanation:
Answer:
m=7
Step-by-step explanation:
15m−13m=69.96−55.96
Step 1: Simplify both sides of the equation.
15m−13m=69.96−55.96
15m+−13m=69.96+−55.96
(15m+−13m)=(69.96+−55.96)(Combine Like Terms)
2m=14
2m=14
Step 2: Divide both sides by 2.
2m
2
=
14
2
The distance d is 9 ft and the height is 12ft.
<h3>
How to find the distance and the height?</h3>
Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.
The height is one cathetus and the distance is the other catheti.
Let's define:
- h = height
- d = distance.
- hypotenuse = 15ft
We know that the height of the tower is 3 ft larger than the distance, then:
h = d + 3ft
Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then:
![d^2 + (d + 3ft)^2 = (15ft)^2](https://tex.z-dn.net/?f=d%5E2%20%2B%20%28d%20%2B%203ft%29%5E2%20%3D%20%2815ft%29%5E2)
Now we can solve this equation for d:
![d^2 + d^2 + 6ft*d + 9ft^2 = (15ft)^2\\\\2d^2 + 6ft*d - 216 ft^2 = 0\\\\d^2 + 3ft*d - 108ft^2 = 0](https://tex.z-dn.net/?f=d%5E2%20%2B%20d%5E2%20%2B%206ft%2Ad%20%2B%209ft%5E2%20%3D%20%2815ft%29%5E2%5C%5C%5C%5C2d%5E2%20%2B%206ft%2Ad%20-%20216%20ft%5E2%20%3D%200%5C%5C%5C%5Cd%5E2%20%2B%203ft%2Ad%20-%20108ft%5E2%20%3D%200)
Then the solutions are:
![d = \frac{-3ft \pm \sqrt{(3ft)^2 - 4*(-108ft^2)} }{2} \\\\d = \frac{-3ft \pm 21ft }{2}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B-3ft%20%5Cpm%20%5Csqrt%7B%283ft%29%5E2%20-%204%2A%28-108ft%5E2%29%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cd%20%3D%20%5Cfrac%7B-3ft%20%5Cpm%2021ft%20%7D%7B2%7D)
We only take the positive solution:
d = (-3ft + 21ft)/2 = 9ft
And the height is 3 ft more than that, so:
h = 9ft + 3ft = 12ft
The distance d is 9 ft and the height is 12ft.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
130
Step-by-step explanation:
first find angle C, which is 180-90-40=50
angle Y=180-50=130