Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2
| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.
72 boys.
Step-by-step explanation:
no. of boys (initial) : no. of girls : no. of boys (final)
3 : 2
3 : 2
______________________________________
9 : 6 : 4
9u - 4u = 5u = 30
5u = 30
1u = 30/5 = 8
9u (initial no. of boys) = 8×9
= 72
The answer is: 
The correct option is: (D)
<h3>What are Complex numbers?</h3>
A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z. Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).
Since we have given : 
and 
The difference of z1 - z2 would be:
So,
Hence,
Learn more about Complex Number here:
brainly.com/question/14028757
#SPJ1
Answer:
y-2 = 2(x-5)
Step-by-step explanation:
We have two points, we use
m = (y2-y1)/(x2-x1) to get the slope
m = (2--10)/(5--1)
= (2+10)/(5+1)
=12/6
=2
We will write the equation in point slope form
y-y1 = m(x-x1)
Given that it starts with y-2. we will use the point (5,2)
y-2 = 2(x-5)
