All categories

3 years ago

The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp?

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

Answer:

9/10 or 0.9

Step-by-step explanation:

As we move 50 feet horizontally, the far end of the ramp reaches 4.5 feet above ground level. Thus, the slope is m = rise / run = 4.5/50 = 9/10 or 0.9.

You might be interested in

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q

Mumz [18]

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

$\sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} }$

$= > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5$

Distance between P & R =

$\sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} }$

$= > \sqrt{ {n}^{2} } = n$

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

$n = 5$

8 0

2 years ago

There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?

pantera1 [17]

Answer:

Step-by-step explanation:

let x be the number of men

4:7 = x:21

4/7 = x/21

7x = 84

x = 12

6 0

3 years ago

Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.

Ahat [919]

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

4 0

2 years ago

Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V

stiks02 [169]

Answer:

Option a) $h=\frac{3V}{\pi r^{2} }$

Step-by-step explanation:

The given formula seems to represent the volume of right circular cone. The correct formula is:

$V=\frac{1}{3} \pi r^{2} h$

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:

$V=\frac{1}{3} \pi r^{2} h\\\\3V=\pi r^{2} h\\\\h=\frac{3V}{\pi r^{2} }$

5 0

3 years ago

Every morning Calvin reads for 15 minutes. Every evening he reads for n minutes. Next week, he is going to triple the amount of

prohojiy [21]

Answer:
15 + 3n

Triple the amount of evening which is “n” so it would “3n”

The morning amount would still be 15

4 0

2 years ago