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2 years ago

Math help i need to get 5 right......please

Mathematics

1 answer:

brilliants [131]2 years ago

8 0

Answer:

f^-1(x) = x +6

Step-by-step explanation:

To find the inverse of the function

y = f(x)

solve the equation

x = f(y)

for y.

Here, you want ...

x = f(y)

x = (y -6)

x +6 = y . . . . . . add 6 to both sides

$\boxed{f^{-1}(x)=x+6}\\$

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A 6-foot tall man casts a shadow that is 12 feet long. What is the measure of the sun's angle of elevation? Enter your answer, r

Masteriza [31]

Answer:

$27^{\circ}$

Step-by-step explanation:

Let x represent the sun's angle of elevation.

We have been given that a 6-foot tall man casts a shadow that is 12 feet long.

Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.

Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(x)=\frac{6}{12}$

$\text{tan}(x)=\frac{1}{2}$

Using arctan we will get,

$x=\text{tan}^{-1}(\frac{1}{2})$

$x=26.565051177078^{\circ}\approx 27^{\circ}$

Therefore, the measure of the sun's angle of elevation is 27 degrees.

3 0

3 years ago

A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.

Mandarinka [93]

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

7 0

3 years ago

A construction company charges 15$ per hour for debris removal,plus aone-time free for the use of a trash dumpster.The fee hour

Mazyrski [523]

The total fee y for any number of hours x will be y = 15x + 60.

<h3>What is a linear equation?</h3>

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster.

Let c be the one-time fee for the trash dumpster and x be the number of hours.

Then the equation will be

y = 15x + c

The fee hour for 9 hours of service is $195.

Then the value of c will be

195 = 15 × 9 + c

195 = 135 + c

c = $60

The total fee y for any number of hours x will be y = 15x + 60.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ1

7 0

2 years ago

5 more than one-eighth of a number equals 13. What is the number?

stealth61 [152]

Answer:

Step-by-step explanation:

let the number be x, then

$\frac{1}{8}$ x + 5 = 13 ( subtract 5 from both sides )

$\frac{1}{8}$ x = 8 ( multiply both sides by 8 )

x = 64

The number is 64

8 0

3 years ago

Read 2 more answers

An apartment building has 9 floors. There are 9 apartments per floor. How many apartments are in the building?

kaheart [24]

Answer:

81 apartments are in the building

Step-by-step explanation:

9 × 9 = 81

3 0

3 years ago