Which ordered pair is a solution of the equation?

Given:

Height of access ramp = 6 foot

Ramp ends at a point 40 feet away along the ground.

To find:

The angle of depression in nearest tenth of a degree.

Solution:

Using the given information, draw a figure as shown below.

In a right angle triangle,

[tex]\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

In triangle ABC,

[tex]\tan \theta=\dfrac{AB}{BC}[/tex]

[tex]\tan \theta=\dfrac{6}{40}[/tex]

[tex]\tan \theta=0.15[/tex]

Taking tan inverse on both sides.

[tex]\theta=\tan^{-1}(0.15)[/tex]

[tex]\theta=8.5307656[/tex]

[tex]\theta \approx 8.5[/tex]

Therefore, the angle of depression is 8.5 degrees.

Answer:

-24/12= -2

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

If I'm wrong please tell me

Answer:

p and q are parallel to each other and l, m, and n are all parallel

Step-by-step explanation:

because it tells us they make right angles we know all the lines are going straight therefor they will not intersect with each other

Answer:

C

Step-by-step explanation:

By the definition of an inverse function, if:

[tex]f(a)=b\text{ then } f^{-1}(b)=a[/tex]

Therefore, the domain of the original function will be the range of the inverse function.

And the range of the original function will be the domain of the inverse function.

We have the original function:

[tex]f(x)=2x^2-5[/tex]

With the domain:

[tex]-\infty<x<\infty[/tex]

Since the domain of the original function is such, then the range of the inverse function is also the same as above.

So, the range of the inverse function is also:

[tex]-\infty< f^{-1}(x)< \infty[/tex]

So, our answer is

C.

Notes:

A, B, and E would automatically be incorrect since we never use ”or equal to” when using the infinity symbol. This is because we can never “equal” infinity.

9514 1404 393

Answer:

  43°

Step-by-step explanation:

Following the instructions is generally useful.

  5x +9 = 30 -3x +27 +2x

  6x = 48 . . . . add x-9

  x = 8 . . . . . . .divide by 6

  27 +2x = 27 +2(8) = 43 . . . . substitute into the expression for angle DFE

angle DFE = 43°

Answer:

It would be A, C, and D.

Step-by-step explanation:

Answer:

It’s depends on the sign.

Step-by-step explanation:

For example if your question is 3x+16y-8-7x+8y then the answer would be -4x+24y-8 if they have the same variable look at them as a separate equation.

Answer:

"Like Terms" means that you can add or subtract two terms. For instance, you know that you can add and get 5. You were able to add these two 'terms' ( the '2' and the '3') because they are both numbers! However, you might also know that you cannot 'combine' 2 and x. Since 2 is a number and 'x' is not, they are not like terms.

Basically if its two numbers that are the same, For example (-2x and -4x) and have with the same variables you would add them. If they are like this (5x and -2x) you would subtract them because its a negative and positive number and get ( 3x).

Hope i helped!!!!

Answer:

So BD= 2*(y+4) -> 2*(4+4) = 16

and AX is the same lenght as BX so: AX = y+4 -> 4+4 = 8

Step-by-step explanation:

hope that helped

Answer:

x= 67 degrees and z= 54 degrees

Step-by-step explanation:

Using alternative interior angle, you can see that x is equal to 67 degrees

-In a triangle, there is 180 degrees. Since there are 59 degrees and 67 degrees in the triangle, you will just need to solve for z.

-In order to solve for z, you subtract 180-59-67= 54

Hope this helps!

Answer:

4/5

Step-by-step explanation:

12-8=4

10-5=5

4/5 is the slope

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

10.5 × 4 = 42 cups of flour

In order to find an area of a triangle we have to multiply the base by the height.

8.2*4.6=?

So now all we have to do is multiply to find our answer of 37.72!

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

Answer:

x=2

hope it helps !!

Step-by-step explanation:

Answer: 20 miles? lol

Step-by-step explanation:

Answer:

I tried my best so I hope this helps :)

(look at the screenshots for the work I don't feel like typing it out)

Step-by-step explanation:

1.) the solution is  [tex]x=\frac{-3+\sqrt{30}}{3}\\[/tex], [tex]x=-\frac{3+\sqrt{30}}{3}[/tex]

2.) the solution is  [tex]n=4,\:n=-1[/tex]

3.) the solution is  [tex]x=-4+\sqrt{26},\:x=-4-\sqrt{26}[/tex]

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

The absolute value of -5 is 5. Absolute values are always the opposite of the negative number.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Here, we want to select which of the options that could actually be the inverse of function g

The function that could actually be an inverse is that function in which we have a reversal of values

What we mean in this case is that the x values take up the f(x) values while the f(x) values take up the x values

With respect to this question, the option that fits this description is;

Option D

Answer: For Plato users

Step-by-step explanation:

The correct answer is B .

Just flip the x and y

Answer:

y= -2x-3

Step-by-step explanation:

this is because the y intercept is at negative 3 and the rise over run is down 1 over 2

Answer:

+6

Step-by-step explanation:

Easy math

Answer:

6+

Step-by-step explanation:

very easy math

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

Answer:

[tex]\frac{6}{10+6}=\frac{4}{10-x}[/tex]

Step-by-step explanation:

For plato

Answer:

wh

Step-by-step explanation:

Answer:

4/5 = 28/35 and 5/7 = 25/35

Explanation:

Multiply 5 times 7 to get 35, then multiply 4 times 7 for the numerator of the first fraction and 5 times 5 for the numerator of the second equation.

Answer:

H = 3

Step-by-step explanation:

Step-by-step explanation:

Multiply both by 100 (same number of 0s as the most decimals places in either of the starting numbers.)

so you get 8350/625

then it's normal from there

Answer:

5040a^2b^2

Step-by-step explanation:

(3a2b7)(5a3b8)

(42ab)(120ab) multiply everything inside each parenthensis

42ab * 12ab remove parenthesis

5040a^2b^2 multiply

Answer:

The expressions are:

2. [tex]60h+20\ minutes[/tex]

3. [tex]2+\frac{x}{60}\ hours[/tex]

4. [tex]y+0.75\ hours[/tex]

Step-by-step explanation:

The given expressions have to be converted into algebraic expressions.

So,

2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.

Here,

h is a variable that can have any value but the 20 minutes will remain same with any number of hours.

If h is for hour, the number of minutes in h hours will be: [tex]60*h = 60h[/tex]

And there are also 20 minutes so the algebraic expression is:

[tex]60h+20\ minutes[/tex]

3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.

In order to convert minutes into hour, the minutes are divided by 60

So converting x minutes into hour means

[tex]x\ minutes = \frac{x}{60}\ hours[/tex]

There are 2 hours already so the expression will be:

[tex]2+\frac{x}{60}\ hours[/tex]

4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.

Converting 45 minutes to hours by dividing by 60

[tex]45\ minutes = \frac{45}{60}\ hours = 0.75\ hours[/tex]

The expression is:

[tex]y+0.75\ hours[/tex]

Hence,

The expressions are:

2. [tex]60h+20\ minutes[/tex]

3. [tex]2+\frac{x}{60}\ hours[/tex]

4. [tex]y+0.75\ hours[/tex]

Answer: four times a number subtracted by -5

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line PRN = 180 = 6y - 14 + 90 + 2y

180 - 90 + 14 = 6y + 2y

104 = 8y

y = 104 / 8

y = 13