the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?

Answers

Answer 1

First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.

a^2 + b^2 = c^2

Substitute

a^2 + (5)^2 = (20)^2

Solve for a^2

a^2 = (20)^2 - (5)^2

Solve for a

a = 5 √15

The slope will be rise over run

5/5 √15 = √15/15 or 0.258…

Related Questions

Factor the expression
n^2-15n+56

Answers

Answer:

(n-8)(n-7) this is the answer I hope it helped you

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

Factor this into the form:

(x +/- a)(x +/- b)

As the third term is a positive and the second is negative, we know that the two operators are subtract:

(x - a)(x - b)

Find the factors of 56:

1 56

2 28

4 14

7 8

The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:

(x - 7)(x - 8)

Hope this helps!

Mrs. Schneider teaches 156 students everyday. Among these students, there are 8 more boys than girls. How many girls does Mrs. Schneider teach

Answers

70, 157/2 = 78 - 8 = 70

the graph of equation y-1=-2(x-2) contains which sets of ordered pairs

Answers

Answer:

(2, 1)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 1 = - 2(x - 2) ← is in point- slope form

with (a, b ) = (2, 1 )

How to find integral of absolute value.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Simply the expression in order to find an equivalent expression 2(x-5)+3(4+6)

Answers

Answer:

Step-by-step explanation:

2(x-5)+3(4+6) distibrute 2 through the parenthesis(uwu)

2x-10+3x10 multiply the numbers :) basta multiply mo

2x-10+30 calculate the sum :- kayo na sumalat nan uwu

2x+20

ito sulotion

2x+20

Answer:

2x + 20 OR 2(x + 10)

Step-by-step explanation:

2(x - 5) + 3(4 + 6) =>

2x - 10 + 12 + 18 =>

2x + 20 OR 2(x + 10)

In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?

Answers

Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.

The tiles are chosen without replacement, hence, the hypergeometric distribution is used.

The population is composed by the 100 tiles.The sample is composed by 7 tiles.

The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.

[tex]\frac{100}{7} = 14.28 < 20[/tex]

Hence, the binomial distribution cannot be used.

A similar problem is given at https://brainly.com/question/25743676

How do you solve 5x+17>5(2x+1) algebraically?

Answers

Answer:

x < 12/5

Step-by-step explanation:

First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.

Next, subtract 5 on both sides to get

5x + 12 > 10x.

Afterwards, subtract the 5x on both sides to get 12 > 5x.

Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.

Hope this helps you :)

Which relation is a function?

Answers

Answer:

The bottom right option

Step-by-step explanation:

Functions need each input to map to exactly one output. Graphically speaking, this means that any two points on the function cannot have the same x-coordinate.

Given this, the bottom right option is the only one that fits these circumstances.

A cinema has 3 screens

Answers

Answer:

screen 1 =200

screen 2 =125

screen 3 =175

Step-by-step explanation:

screen 1 40% of 500 =200

screen 2 25% of 500 =125

screen 3 100%-(40%+25%)

100%-65%

35%

35% of 500 =175

screen 1 =200

screen 1 40% of 500 =200

screen 2 =125

screen 2 25% of 500 =125

screen 3 =175

screen 3 100%-(40%+25%)

100%-65%

35%

35% of 500 =175

Hope this helps!!^^

PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much

Answers

Answer:

X=98(Being corresponding angle)

You are correct

Answer plsss? Much appreciated if done so

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{12e^{5}}{3e^{3}}=\dfrac{12}{3}*e^{5-3}\\\\\\=4e^{2}[/tex]

Answer:

4e^2

Step-by-step explanation:

12 e^5

-----------

3 e^3

Divide the constants

12/3 = 4

We know that dividing exponents with the same base means subtracting the exponents

e^5 / e^3 = e^(5-3) = e^2

4e^2

FOR A BRAINLIST PLS HURRY

Answers

Answer:

y = x

Answer:

x=-2

y=9

Step-by-step explanation:

3=y+3x ---- A

-x+3y=29 ----B

step 1. rearrange equation A, so you have the "y" variable on one side

3=y+3x

-3x -3x

3-3x=y

y=3-3x ---- C

step 2. Substitute equation C into equation B in place of "y"

-x+3(3-3x)=29 ---foil

-x+9-9x=29 -- collect like terms

-10x+9=29

-9 -9

-10x=20

÷-10 ÷-10

x=-2

Step 3. Substitute x=-2 into equation C to find y

y=3-3(-2)

y=3+6

y=9

Check you answer by subsituting x=-2 and y=9 back into equation A and B

what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C

Answers

Answer:

50° C

Step-by-step explanation:

By the Formula :-

= > (122°F − 32) × 5/9

= > 50°C...ans

Hope it Helps you!!

The value of 122°F in °C is 50°C

Temperature

Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.

To convert from Fahrenheit to Celsius, use:

C = (F - 32) * 5/9

Given that F = 122, hence:

C = (122 - 32) * 5/9 = 50°

The value of 122°F in °C is 50°C

Find out more on Temperature at: https://brainly.com/question/18130122

There are 18 girls and 12 boys on the swim team. What FRACTION of the team is made up of boys?

Answers

Answer:

12/30

Step-by-step explanation:

Hope this helps man. Have a GREAT day.

Sincerly, lipor

A 12/30 fraction of the team is made up of boys.

What is a fraction?

A fraction is defined as part of a whole.

The total number of team members is

12+18=30

The number of boys on the team is 12.

Hence, the fraction of boys o the team is 12/30.

To learn more about fraction, use the link given below:

https://brainly.com/question/10354322

#SPJ2

Answer question 3 and also I will give you brainiest if you give the correct answer hurry!!!

Answers

To find the rate of change, you look at how much the y value increases with a change of 1 x. We see that as x increases from 1 to 2, y increases from 120 to 144. Then we subtract 144-120 to find the rate of change, which is just 24 (also note that x changes by 1 here).

Then for the initial value:
We see that y increases by 24 for 1 x, so subtracting the value at x=1 by 24 we get 120-24 = 96, which is the initial value.

Hope this helps

What is the greatest common factor of 42 and 48?

Answers

Answer:

The greatest common factor is 6

Step-by-step explanation:

There are 4 common factors of 42 and 48, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 42 and 48 is 6.

hope this helps

Use: 0, 4, 6 11, 9,8, 9, 1, 5 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below

Answers

Answer:

0, 1, 4, 5, 6, 7, 8, 9, 9, 11.

Step-by-step explanation:

Since 11 is the maximum number in the line plot, 0 is the least number, and 7 is the medium number on the line plot.

x x x x x x x x x

0 1 4 5 6 7 8 9 11

????????????????????????????????

Answers

Answer:

Step-by-step explanation:

step by step explanation

Answer:

P = 9/25

Step-by-step explanation:

yeah-ya........ right?

In the figure given, what is the (numerical) value of x?
(5a)
(4a)

Answers

Do you mean the value of a?

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

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