A 20­ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach?

Answers

Answer 1

Answer:  19.8 ft

Step-by-step explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.  

The formula says  a^2 + b^2 = c^2

Where a and b are the two legs and  C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either  a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 ,  and c will be 20. Input in the values  into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9              -9

 b^2 = 391  

    b = [tex]\sqrt{391}[/tex]

  b  = 19.77371   round to the nearest tenth is ,  19.8


Related Questions

1. What is the value of x in the equation below? -6x + 9 = 33 ​

Answers

Answer:

-4

Step-by-step explanation:

Step-by-step explanation:

Given

-6x + 9 = 33

or -6x = 33- 9

or, - 6x = 24

or - x = 24 / 6

or, - x = 4

Therefore x = - 4.

Hope it will help you :)


Help me with math plzzzzzzzzzzzzzz

Answers

I think it’s a hope this helps

Answer:

Its A

Step-by-step explanation:

plz help me im struggling hard​

Answers

Answer:

0.20 × 65 is what you would do for the second

Step-by-step explanation:

btw listen to yungblud

Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that [tex]C(m)[/tex].

Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form [tex]C(m) = am+b[/tex]

What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.

Therefore, [tex]C(0)=55[/tex]

So, [tex]C(m) = am + 50[/tex]

The cost will increase by $0.20 for each mile, wich tells us that [tex]a=0.20[/tex]

Finally, our expression is [tex]\boxed{C(m) = 0.2m+55}[/tex]

If we want to know how much would you pay if you drove 65 miles, we want to know what [tex]C(65)[/tex] is.

By plugging [tex]m=65[/tex] in the expression, we get

[tex]C(65) =68[/tex]

So you would pay $68

256 students were sitting in the cafeteria.47 students came in 32 went back to class​

Answers

Answer:

271

Step-by-step explanation:

256 + 47=303

303 - 32= 271

Find the slope given the following ordered pairs (6,11) and (8,19)

Answers

Answer:

4

Step-by-step explanation:

solved it

Answer:

m = 4

Step-by-step explanation:

m = (y2 - y1) / (x2-x1)

Given points (6,11) and (8,19) Let y2 = 19, y1 = 11, x2 = 8, and x1 = 6

Subbing in

m = (19-11)/(8-6) = 8/2 = 4

So, the slope is 4

ABC IS A TRINAGLE
WORK OUT ANGLE X
GIVE YOUR ANSWER CORRECT TO 3 S.F​

Answers

Answer:

[tex]2 {2 = | \leqslant 3 > 3 |2 > \times 2 \frac{?}{ \tan( \sec(\pi\% log_{?}( \beta ) ) ) } | | }^{?} [/tex]

7=9/8ths

-19 + 4k - 15k - k -9

Answers

Answer:

Let's simplify step-by-step.

−19+4k−15k−k−9

=−19+4k+−15k+−k+−9

Combine Like Terms:

=−19+4k+−15k+−k+−9

=(4k+−15k+−k)+(−19+−9)

=−12k+−28

Answer:

=−12k−28

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

5

Step-by-step explanation:

Let me know if I am wrong

who rembers unus annus?

Answers

not me but thanks for the points hahah, mark me brainliest if possible too

Answer:

MEEEE

Step-by-step explanation:

AHHHH

8-4x for x = 9
The expression equals I

Answers

Answer:

- 28

Step-by-step explanation:

Step 1:

8 - 4x        Equation

Step 2:

8 - 4 ( 9 )     Input x value

Step 3:

8 - 36        Multiply

Answer:

- 28          Subtract

Hope This Helps :)

-28..............................

can someone help me on this

Answers

Answer:

1) Reflections just change the signs of the coordinates, so (1.5, -2) and (-1 and 1/2, 2) are reflections of each other. Also (1.75, -4) and (-1 and 3/4, 4)

2) From left to right: -1.75, -3/4, 1/4, 0.75, 1 and 1/2.

Remember that each 1/4 = 0.25, so this could help you work out fractions and decimals.

Answer:

First question answer: D  Second Question answer: (lowest to highest) -1.75, -3/4, 1/4, 0.75, and 1 1/2

Step-by-step explanation:

Mr. Ruiz has 200 students who are interested in joining the marching band. He decides to have 80% of the band be
made up of brass instruments. How many of the 200 students would play brass instruments?

A. 16 students
B. 60 students
C. 160 students
D. 280 students

Answers

Answer:

160 students

Step-by-step explanation:

As, 80% of 200 students instruments are of brass

So 80% of 200

= 80/100 x 200 = 160

So 160 students

Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96

Answers

Answer:

-24.35, -7.96, 11.20

Step-by-step explanation:

Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.

Positive is bigger

Negative is smaller

*EXTRA*

negative plus negative = positive

negative plus positive = negative

negative times negative = positive

negative times positive = negative

Hopefully you will understand!

x^3-y^3 how to solve?

Answers

Answer:

x^(3)-y^(3)

Step-by-step explanation:

Alison Bender works for an accounting firm. To make sure her work does not contain errors, her manager randomly checks on her work. Alison recently filled out 12 income tax returns for the company's clients. Unknown to anyone, two of these 12 returns have minor errors. Alison's manager randomly selects three returns from these 12 returns. Find the probability that (a) Fewer than 2 of them contains errors

Answers

Answer:

Alison Bender and Income Tax Returns

The probability that fewer than 2 of the returns contains errors is:

8.333%

Step-by-step explanation:

a) Data and Calculations:

Number of income tax returns filed by Alison = 12

Number of returns with minor errors = 2

Percentage of returns with minor errors = 2/12 = 16.67%

Random sampling of returns by Alison's manager = 3/12 = 25%

Fewer than 2 = 1

The probability of 1 error in 12 returns = 1/12 = 0.08333

= 8.333%

b) Since Alison's manager randomly selects three returns from the 12 to check for errors, the probability of discovering the errors is 25% (3/12).  However, the probability that less than 2 contains errors = 8.333% (1/12).

Find the Values of X and Y in the diagram. PLZ HELP

Answers

Answer: x is 47, y is 75

Step-by-step explanation:

i have a test and its due tomorrow

Answers

Answer: 1 & 5 are both corresponding angles

Step-by-step explanation: because they are both on the top and on the same side that's what makes them corresponding angles

Love U Daddy!

HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:b

Step-by-step explanation:

Write a linear function f with the values f(0) = -4 and f (5) = 11.

Answers

Answer:

Let's put this function into slope-intercept form.

y = mx + b

where m is the slope

and b is the y-intercept

We know the y intercept is -3 since f(0) = -3

Thus, b = -3

To find the slope, use the equation m = (y1 - y2) / (x1 - x2)

x1 = 0

y1 = -3

x2 = 7

y2 = 11

Note: these values came from the given information

m = (-3 - 11) / (0 - 7)

= (-14) / (-7)

= 2

m = 2

Plug the values of m and b into y=mx + b

y = 2x - 3

That's your answer.

Step-by-step explanation:

What is the answer for 2m + 3m + 8 + 6

Answers

Answer:

5m+14

Step-by-step explanation:

The Mt. Vernon Christian High basketball
team played 24 games during the basket-
ball season. They won 4 games more than
they lost. How many games did they win?

Answers

Answer:

Let x represent the number of games they lost. Then they won 24 + x games. Since the team played 70 games, x + (24 + x) = 70. Thus 2x + 24 = 70. Dividing both sides of the equation by 2, we have x + 12 = 35. Hence, x = 35 - 12 = 23.

Which one should I choose

Answers

Answer:

x^2 + 7x + 12

Step-by-step explanation:

distributive property

Select ALL the terms that are like 5b2

.
Question 4 options:


12b2



5


5b


10b2

Answers

Answer:

12b2 10b2

Step-by-step explanation:

A .14kg baseball is dropped from rest. It has a momentum of .78kg x m/s just before it lands on the ground. For what amount of time was the ball in the air?

Answers

Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.

Answers

Answer:

it is $2.50 multiplied by 4

Step-by-step explanation:

this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll

Slope= 3 point (-4,6)

Answers

Answer:

y = 3x + 18

Step By Step Explanation

I hope this is what you wanted, I don't know what the answer was supposed to be.

Classify the triangle​

Answers

Answer: B I believe

Step-by-step explanation:

Answer:

Isosceles becuase there are 2 equal sides but 1 side is different.

A proportional relationship between y and x When x5, ym
What is the constant of proportionality, K?
Enter your answer as a simplified or improper fraction in the box
k -

Answers

Answer:

-7/5

Step-by-step explanation:

Answer:

-7/5

Step-by-step explanation:

Solve for g: 19 > 2(g + 7.9).

Answers

Answer: g < 1 3/5

Step-by-step explanation:

first, i removed the parentheses.

19 > 2g + 15.8

then, i moved the terms.

-2g > 15.8 - 19

the, i calculated that.

-2g > -3.2

finally, i divided both sides.

g < 1.6

the alternative form is g < 1 3/5

(basically, the second answer)

HEEELPPPPP PPLS The second side of a triangle is 8 inches less than the first side. The third side is 14 inches more than the first side. The perimeter of the triangle is 78 inches. Find each side of the triangle.

Answers

Answer: ):

Step-by-step explanation:

Answer:

second side is 16

third side is 38

Step-by-step explanation:

x + (x - 8) + (x + 14) = 78

3x + 6 = 78

3x = 78 - 6

3 x = 72

x = 72/3

x = 24

24 + (24 - 8) + (24 + 14) = 78

24 + 16 + 38 = 78

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