A 10 m. ramp at an amusement park rises 2 m. in the air. What is the angle of elevation of the ramp?

Elina [12.6K]

Answer:

Answer:

C. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.

Now let us find slope of our given line using slope formula.

is vertical change or rise.

is horizontal change or run.

Upon substituting given values in above formula we will get,

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.

Step-by-step explanation:

The slope is (change in y)/(change in x). Taking (0, 0.5) and (10, 2) since the x axis is horizontal and the y axis vertical, we get the slope to be (2-0.5)/(10-0)=

1.5/10=3/20=0.15. Since it's based off of 1000 feet, we multiply 0.15 by 1000 to get 150 as the rate of change for every x value. In addition, since we start at 0.5, 1000*0.5=500 and we therefore start at 500 ft. Using the information we have, we therefore have C as our answer

8 0

3 years ago

The coordinates of the endpoints of AB and CD are A(2,

Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

$m= \frac{y_2-y_1}{x_2-x_1}$

Formula to Find Distance between two points

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

mAB ( represents , Slope of AB )

1. $mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}$

2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

3. $mCD=\frac{5-2}{6-5}=\frac{3}{1}=3$

4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is $-\frac{1}{3}$

$mAB=-\frac{1}{3}$

$mCD=3$

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0

3 years ago

5(2x + 6) = 8x + 48 <br><br> simplify.

lord [1]

10x+30=8x+48

2x+30=48

2x=18

x=9

3 0

4 years ago

Read 2 more answers

Which of the following statements is not true? The product of a negative number and 0 is 0. The quotient of a negative number an

Ugo [173]

Answer-The quotient of 0 and a negative number is negative.

This is wrong because a negative number cannot be divided by 0

-Steel jelly

8 0

3 years ago

Read 2 more answers

Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what f

fenix001 [56]

Greetings!

This can be solved by creating a simple equation.
$1/4+1/6+x=1$

Solve for x.
$1/4+1/6+x=1$
Find the LCM.
$3/12+2/12+x=1$
$5/12+x=1$
Add -5/12 to both sides.
$(5/12+x)+(-5/12)=(1)+(-5/12)$
Simplify.
$x=1/1-5/12$
Find the LCM.
$x=12/12-5/12$
$x=7/12$

He kept 7/12 of the raisins for himself.

Hope this helps.
-Benjamin

4 0

3 years ago