Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
Answer:
10 units
Step-by-step explanation:
The distance from the point (0,0) to (10,0) is 10 units
The required steps are explained below to convert the quadratic function into a perfect square.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
Add and subtract the half of the square the coefficient of x,
Then we have
These are the required step to get the perfect square of the quadratic function.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51
<em>x = - 2.5</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>4 - (2x + 4) = 5</em>
<em>4 - 2x - 4 = 5</em>
<em>- 2x = 5</em>
<em>2x = - 5</em>
<em>x = - 5 : 2</em>
<em>x = - 2.5</em>
<em>Good luck !</em>
