If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 31 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer 1

The height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

What is Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.

Here, length of ladder (Hypotenuse) is 39 ft

         distance from building (base) is 31 ft.

By Pythagoras Theorem,

[tex]Hypotenuse^{2} = perpendicular^2 + Base^2[/tex]

[tex]39^2 = P^2 + 31^2[/tex]

[tex]P^2 = 39^2 - 31^2[/tex]

[tex]P^2 = (39+31)(39-31)[/tex]

[tex]P^2 = 70 X 8[/tex]

[tex]P = \sqrt{560}[/tex]

P = 23.6 ft ≈ 24 ft.

Thus, the height of the building at which 39 ft long ladder was hold is 23.6 ft or 24 ft.

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Related Questions

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8 divided by 32

Hope this helps!

If not I am sorry.

Chloe drive from her house to grandmas house 48 miles away in an hour and 12 minutes how far could you travel nine minutes

Answers

Answer:

The Answer is 36 miles in nine minutes

HELP PLEASEE 100 POINTS Solve for x and y. Show all work on the whiteboard so you have the option to receive partial credit. Then enter your answers below.

Answers

Answer:

51°; 143°

Step-by-step explanation:

#1 on the leftmBCD = (mAD - mBD)/2x = (178° - 76°)/2 = 102°/2 = 51°#2 on the righty = (mKL + mJM)/2y = (156° + 130°)/2 = 286°/2 = 143°

Can you uh please help-

Answers

my awnser would be B sorry if wrong...

I’ll give brainliest hurry pls

All questions please. I need help

Answers

Answer:

7) -4

8) -3

9) 2

10) 3

11) 1

12) 0

Step-by-step explanation:

The form your equations are in is slope intercept form which is the equation...

y = mx + b

m = slope; b = y-intercept

Y-intercept is defined as the point where a line or curve crosses the y-axis of a graph.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

An 11 pound turkey costs $15.00, while the 16 pound turkey is on sale for $20.00. How much would you save with the sale price?

Answers

Answer:

I think the answer is 11.7333

What is the slope of the line that passes through (1, 3) and (6, 7)?

Answers

Answer:

See below.

Step-by-step explanation:

(1,3),(6,7)

7-3=4

6-1=5

4/5 is the slope.

-hope it helps

Answer:

4/5

Step-by-step explanation:

Subtract the y's 7-3, put that on top.

Subtract the x's 6-1, put that on the bottom.

7-3 / 6-1

4/5

Slope is 4/5

solve for x
PLEASE HELPPPPPPPP

Answers

Answer:

x=21

Step-by-step explanation:

I need help solving this

Answers

Answer:

[tex]-n+1[/tex]

Step-by-step explanation:

[tex](n+2)-(2n+1)[/tex]

[tex]n+2-2n-1[/tex]

[tex]-n+1[/tex] which could also be written as [tex]1-n[/tex]

factorize x square -5x+6

Answers

Answer:

(x-2)(x-3)

Step-by-step explanation:

x1 = 2

x2 = 3

easy

People of different ages were asked the question "Do you listen to audiobooks?" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent. Would it be appropriate to display the data with a pie chart? Yes, because the data are grouped into categories. Yes, because the data can be displayed by a relative frequency compared with the whole. No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole. No, because the data categories are too broad.

Answers

No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

The correct option is C.

What is pie chart?

The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.

Given

People of different ages were asked the question "Do you listen to audiobooks?

" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent.

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate.

Pie charts are used to indicate relative frequency of each group, when the whole combines to 100%.In this problem, the sum of the percentages is not 100%, hence, it does not indicate relative frequency, and the third option is correct.

Hence, No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

You can learn more about pie charts at;

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Answer:

C.

Step-by-step explanation:

on edge2022

LOL Help: Turn this number to binary: 6,300,556,744,643,768,000​

Answers

Answer:

101011101110000000100101111101000111011101011101110111011000000

Step-by-step explanation:

I hope this is right

Which division problem does the number line best illustrate

Answers

Answer:

(A) 2÷1/5=10

You start off with 2

It is divided into 10 parts

they all include division

2÷_=10

2÷1/10=20

2÷1/5=10

Step-by-step explanation:

hope this helps :D

HELP ASAP!! PLEASE ANSWER!

Answers

Answer:

factor out 5 out of 20x+55

and the answer is 5(4x+11)

A group of friends were working on a student film that had a budget of $800. They spent all their budget on props and equipment. They used 83% of their budget on equipment. How much money did they spend on props?

Answers

Answer:

$136

Step-by-step explanation:

100% - 83% = 17%

the 17% is on props.

so, take 17/100 and multiply with $800, which you will get 136.

so the amount of money spent on props is $136

What are the solutions of x2 10x 16 = 0? write the equation in standard form. factor the polynomial. apply the zero product property. solve the resulting equations. x2 10x 16 = 0 (x 2)(x 8) = 0 x 2 = 0 or x 8 = 0 x = and x =

Answers

The values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

What is the factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The given polynomial equation in standard form is,

[tex]x^2 +10x +16 = 0[/tex]

Now factor the polynomial.

[tex]x^2 +10x +16 = 0\\(x 2)(x 8) = 0[/tex]

Apply the zero product property and find out the factors as,

[tex]x +2 = 0, x +8 = 0[/tex]

Solve the resulting equations by equating both the factors one by one to the zero and find the roots.

[tex]x +2 = 0\\x=-2\\[/tex]

Similarly, for x+8=0,

[tex]x +8 = 0\\x=-8[/tex]

Thus, the values of x or the roots of the equation are,

[tex]x = -2, x =-8[/tex]

Hence, the values of x or the solution of the of provided polynomial equation are x=-2 and x=-8.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

-2 and -8

Step-by-step explanation:

got my answer from the person above.

What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πra cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units

Answers

hi hi hi hi hi hi hi hi hi hi hi hi hi hi ihi hi hi

How do you do this? I don’t understand it at all

Answers

Answer:

what is the question. I can help just need the question

Answer:

22 ft 2.1 seconds

Step-by-step explanation:

Graph y=x+2.

pls help me pls asap tell me the points

Answers

Hey there!

Hope this helps,

Please mark me brainliest

help please!!!!!!!! i need this before midnight

Answers

Answer:

20 min

Step-by-step explanation:

, Answer:

20 minutes

Step-by-step explanation:

Daniel got to the park at 11:20 and stayed there 'till 11:40, and then started to go home. He got home at 12:00 which means that it took him 20 minutes to get home

Jennifer is buying cupcakes for a party. 12
cupcakes is $8.40. What is the unit rate for
each cupcake?
I reallyyyyy need help I I have no idea about unit rates

Answers

Answer:

24

Step-by-step explanation:

PLEASE HELP!!!! Determine the period of the following graph.

Answers

Answer:

Step-by-step explanation:

A period occurs when the function goes through the x-axis 2 times.

We see this at 3π/2 and 15π/2

To Find a period Subtract one point from the other.

(15π/2-3π/2) = 12π/2 = 6π

1. Find the length of the missing side. Leave your answer in simplest radical form.

Answers

Answer:

[tex] \sqrt{4 ^{2} + 3 ^{2} } [/tex]

=root 25 which is 5

Which part of the expression 2(3+4)is the sum of two terms

Answers

Answer:

Step-by-step explanation:

You have only two parts to consider

2  and

3 + 4

Notice the wording "Sum of" That means there has to be a plus sign somewhere in the answer.

Answer: 3 + 4

Ok I’m being annoying ik but I seriously need help with these three I’ve tried but I really can’t figure these out

Answers

Answer:

24. a = 69

Step-by-step explanation:

a = 2c - 1

a = 2(35) - 1

a = 70 - 1

a = 69

There are about 795 houses in this region. The average family size is 6 people. There are about people living in the region how many people?

Answers

4770 people living in the region on average

12/14 divided by 7/6 as a fraction

Answers

Answer:

[tex] \frac{12}{14} \div \frac{7}{6} [/tex]

[tex] \frac{12}{14} \times \frac{6}{7} [/tex]

[tex] \frac{6}{7} \times \frac{6}{7} [/tex]

[tex] \frac{36}{49} [/tex]

The result of 12/14 divided by 7/6 as a fraction is 36/49.

To divide the fraction 12/14 by 7/6, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction 'a/b' is 'b/a'.

So, the division can be written as:

(12/14) ÷ (7/6) = (12/14) * (6/7)

Now, we can simplify the multiplication:

(12/14) * (6/7) = (12 * 6) / (14 * 7)

Calculate the numerator and denominator:

72 / 98

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:

72 ÷ 2 / 98 ÷ 2 = 36 / 49

Therefore, the result of 12/14 divided by 7/6 as a fraction is 36/49.

To know more about fraction:

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Q4. Find the values of the unknown angles

Answers

Answer:

56

Step-by-step explanation:

The sum of the exterior angles is 360 degrees, so:

50+75+x+x+x+67=360

192+3x=360

3x=168

x=56

In which of the following categories do the three families spend about the same dollar amount each month (within $25 of each other)? Select all that apply.


- Other Needs

- Housing

- Taxes

- Insurance

- Childcare

- Food

- Transportation

Can someone pls answer!!!

Answers

The category in which the families spend about the same dollar amount each month are food and transport.

What is a circle graph?

A circle graph is used to show information in a circle. The circle is divided into slices which represent a numerical proportion.

Amount spent on food by family A = (14/100) x 5400= $756

Amount spent on food by family B = 16/100) X 4675 = $748

Amount spent on food by family C = (11/100) X6675 = $734.25

Amount spent on transport by family A = (11/100) x 5400= $600.75

Amount spent on transportby family B = 13/100) X 4675 = $607.75

Amount spent ontransport by family C = (9/100) X6675 = $594

To learn more about circle graphs, please check: https://brainly.com/question/26250795

PLEASE HELP


2. Calculate the slant height for the given cone. Round to the nearest tenth
(1 point)
Diameter = 18 cm
Height = 7 cm
O 11.2 cm
O 12.5 cm
O 14.8 cm
O 11.4 cm

Answers

Answer:

11.4 cm

Step-by-step explanation:

Using pythagoras theorem,

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