Help! I need to find the domain and range of this function

tia_tia [17]

Answer:

6.25 feet.

Step-by-step explanation:

Let L be the length of the ramp in feet.

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

Upon substituting our given values in above formula we will get,

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

Therefore, the length of the ramp is 6.25 feet.

6 0

3 years ago

2.1 = -0.6m<br><br>What is the solution to m?

Anon25 [30]

Answer:

m=-3.5

Good Luck!!!

8 0

3 years ago

Read 2 more answers

Find the missing dimension of a parallelogram a=84.77in b=17.3 in what is the height

zavuch27 [327]

Answer:

Step-by-step explanation:

a

8 0

3 years ago

Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. I

Strike441 [17]

The whole number of minutes that Gianna complete each week as a function of x and y:
$45x+30y$
Since the above number is greater than 450 minutes, we get the inequality:
$45x+30y\geq450$
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
$\\x+y\leq10$
Therefore, the system of inequalities is the following:
$45x+30y\geq450$
$\\x+y\leq10$
The above system has many solutions, for example :

4 0

3 years ago

Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre

Dmitry_Shevchenko [17]

The domain and inverse of the function

$r(x) = \frac{11}{(x - 4)^2}$ is

Domain = $\mathbb{R} - \{4\}$ ,

$r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

$r(x) = \frac{11}{(x - 4)^2}$

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = $\mathbb{R} - \{4\}$ ,

Where $\mathbb{R}$ is the set of all real number

Let r(x) = y

$\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}} +4$

<em /> $r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4$

To learn more about function, refer to the link:

brainly.com/question/22340031

#SPJ4

3 0

10 months ago