Answer:
14n
Step-by-step explanation:
You have to multiply the variable n, by the number 14, which is 14*n. But another way to put it is 14n.
Answer where is the pic ?
Step-by-step explanation:
Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)
Answer:
45 degrees
Step-by-step explanation:
The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is
.
Let's plug in 100 to find the sum of all the interior angles in a 100-gon.
![180(100-2)](https://tex.z-dn.net/?f=180%28100-2%29)
I would rather distribute than simplify the parentheses and have to multiply 180 by 98.
So:
![18000-360](https://tex.z-dn.net/?f=18000-360)
=
degrees
[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO <u>DO NOT</u> DIVIDE 17640 BY 100]
Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).
So the last angle is
degrees
The distance from the point to the plane is 21. 7
<h3>How to determine the distance</h3>
From the information given, we have the following deductions;
The plane 9x - y - 4z = -52
The points ( 3, 2 , -2 ) are designated x ,y , z and x = 3 , y = 2, z = -2
The formula for a point to a plane is expressed as;
Distance = ![\frac{|Ax + Bx + Cx + Dx}{\sqrt{A^2 + B^2 + C^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7CAx%20%2B%20Bx%20%2B%20Cx%20%2B%20Dx%7D%7B%5Csqrt%7BA%5E2%20%2B%20B%5E2%20%2B%20C%5E2%7D%20%7D)
Substitute the values
Distance = ![\frac{|9(3) + -1(2) + -4(-2) + (-52)|}{\sqrt{(3)^2 + (2)^2 + (-2)^2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%7C9%283%29%20%2B%20-1%282%29%20%2B%20-4%28-2%29%20%2B%20%28-52%29%7C%7D%7B%5Csqrt%7B%283%29%5E2%20%2B%20%282%29%5E2%20%2B%20%28-2%29%5E2%7D%20%7D)
Distance = ![\frac{27 + 2 + 8 + 52}{\sqrt{17} }](https://tex.z-dn.net/?f=%5Cfrac%7B27%20%2B%202%20%2B%208%20%2B%2052%7D%7B%5Csqrt%7B17%7D%20%7D)
Distance = 21. 7
Thus, the distance from the point to the plane is 21. 7
Learn more about distance here:
brainly.com/question/1597347
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