9514 1404 393
Answer:
C. 3/5
Step-by-step explanation:
The distance from the origin to the given point is ...
d = √(3² +(-4)²) = √(9+16) = 5
The cosine of the angle is the ratio of the x-coordinate to this value:
cos(θ) = x/d
cos(θ) = 3/5
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour
Answer:
3
Step-by-step explanation:
Call that number “x”
The square of that number is x^2
Also as the cube is x^3
The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3
<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )
<==> x = 1 * 3 / 1 = 3
So, that number is 3 ! This math problem seems simple ;)
Answer:
<h2>V = x³ + 54x² + 936x + 5,184</h2>
Step-by-step explanation:
<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18) </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3> Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184 where x represents the increase in inches</h3>
Answer:
we get the value of x: x = 39.1
Step-by-step explanation:
We are given:
Base = 19
Hypotenuse = x
and Angle = 62°
We need to find value of x.
We know that: 
Putting values and finding value of x

So, we get the value of x: x = 39.1