A car uses a gallon of gas for every 45 miles driven. Identify the
independent and dependent variables of this situation.*
O Dependent: miles; Independent: gallons
O Dependent: gallons, Independent: miles
Dependent: miles, Independent: hours
O Dependent: cars, Independent: gallons

Answer:

0.68 miles

Step-by-step explanation:

Let's say that the height of the mountain is h

The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)

tan(1.5°) = opposite/adjacent = h/23 + a

=> h = (23 + a)tan(1.5°) ---- (1)

tan(13°) = h/a

=> h = a(tan(13°)) ---- (2)

Now since h is common among the two equations, we can equate them;

[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]

[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]

[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]

The height of the mountain ≈ 0.68 miles

Answer:

x=1

Step-by-step explanation:

x=1 then y=4

Answer:

the answer is to because the other arrow is on the 2

Step-by-step explanation:

2+2=4

Answer:

Add them and divide by 2. 5.1 + -1.9= 5.1 - 1.9, which is 3.2. 3.2 divided by 2 is 1.6. That is their midpoint on the number line(I can't plot it).

Answer:

9.56

Step-by-step explanation:

4.78x2 so then your answer would be 9.56

Answer:

3 pieces of meat and 4 pieces of vegetables

Step-by-step explanation:

its basicly a ratio the meat is 1 lower than the vegetables.

Slope is 3/7.

Rise / run.

Rises 3 / runs 7.

Line is positive because the line goes up from left to right.

If this helped please mark branliest

Answer:

Or did he?

Step-by-step explanation:

Answer:

maybe -2.

Step-by-step explanation:

maybe I guess

he work at One thousand five hundred fifty hours

Answer:

x > 1,  x < 10

Step-by-step explanation:

Part 1:

-2x < -2

Simplify (divide by -2)

-------------

Part 2:

x - 2 < 8

Simplify (add 2 to both sides)

Answer:

54+7x

Step-by-step explanation:

-2+7(x+8)

-2+7x+56

54+7x

Answer:

-2 + 7(x + 8)

open the bracket

-2 + 7x + 56=

-2 + 56 + 7x =

54 + 7x

Answer:

Don't pull out the 9 haha ha

Step-by-step explanation:

pe pe

Answer: it’s just a game.

Step-by-step explanation: Other Possible Responses: tell me why you‘re so upset. why are you so angry?

Step-by-step explanation:

30 1/3 = 91/3

3 × 91/3% = 91/100 (0.91)

(3-0.91=2.09) < I dunno if you need to subtract it tho^^

Answer:

The base is One-fourth.

The expanded form is (One-fourth) (one-fourth) (one-fourth).

(One-fourth) cubed = StartFraction 1 Over 64 EndFraction

Step-by-step explanation:

Given:

Evaluate (One-fourth) cubed.

(1/4)^3

= (1/4) (1/4) (1/4)

= 1/64

The base is One-fourth.

The expanded form is (One-fourth) (one-fourth) (one-fourth).

(One-fourth) cubed = StartFraction 1 Over 64 EndFraction

Answer:

its 1, 2, 5.

Step-by-step explanation:

Answer:

yes, bills paid online over the weekend would not be seen until the next business day, usually Monday.

Answer:

13 m3

Step-by-step explanation:

The required distance between the two cities is 684.1 miles.

Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r

Here,
San Francisco, California 37° 47' 36" N
Seattle, Washington        47° 37' 18" N

Differences in latitude,
Seattle, Washington         47° 37' 18" N
San Francisco, California -37° 47' 36" N
                                    =  9°  49'  42"

Now converting all in degrees
Difference = 9° + 49 / 60 + 42/3600
Difference = 9 + 0.82 + 0.012
Difference = 9.832
Difference = 9.8°
Now,
the arc between two cities  = 9.8 * π / 180 * 4000
                                          =  684.1 miles

Thus, The required distance between the two cities is 684.1 miles.

Learn more about arc here:

https://brainly.com/question/18741430

#SPJ2

Answer: 8.9

Step-by-step explanation:

Answer:

Intercepts are the points where a graph touches the axes. The X-intercept is that point on the X-axis, and the Y-intercept that point on the Y-axis. In the graph on the left, the X-intercept is (4,0), and the Y-intercept is (0,2)

Answer:

8 miles.

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:do 30divided by 6 which eqauls 5 which is shown above then do the same for 48 which eqauls 8 plzz mark as brainliest

Answer:

The answer is actually 360. I hope this helped you a bit have a good day.

15*24=360

Answer:

234.01

Step-by-step explanation:

add all those together then subtract for total

MARK ME AS BRAINLIEST

Answer:

between 2 an 3

Step-by-step explanation:

Answer:

3(2 + x)

Step-by-step explanation:

You have to multiply 3 by the sum of 2 and any number, or x. So if you put the expression of 2 + x in parenthesis, and 3 next to it. You'll get your answer.

Answer:

The answer is C, y = 1/4x - 4

Step-by-step explanation:

First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.

To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.

Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.

We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.

The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.

We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.

You answer is C, y = 1/4x - 4.

Answer: i think it is 2/7

Step-by-step explanation:

Answer:

[tex]d = 4\sqrt{2}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-4-0)^2+(-4-0)^2}[/tex]

[tex]d = \sqrt{(-4)^2+(-4)^2}[/tex]

[tex]d = \sqrt{16+16}[/tex]

[tex]d = \sqrt{32}[/tex]

[tex]d = 4\sqrt{2}[/tex]