Mathematics High School

The top of a ladder is placed against the side of a house. The ladder is 15ft long and the wall is 12ft high. How far from the wall will the base of the ladder be positioned if the top of the ladder meets the top of the wall.

Answers

Answer 1

Answer:

9ft

Step-by-step explanation:

The top of a ladder is placed against the side of a house. The ladder is 15ft long and the wall is 12ft high. How far from the wall will the base of the ladder be positioned if the top of the ladder meets the top of the wall.

We solve this question using Pythagoras Theorem

c² = a² + b²

Height of the wall = Opposite side = b = 12ft

Length of the ladder = Hypotenuse = c = 15ft

Distance between the wall and the base of the Ladder = Adjacent = a

Hence:

15² = a² + 12²

a² = 15² - 12²

a = √15² - 12²

a = √81

a = 9 ft

Therefore, the wall will be 9ft from the base of the ladder , if the top of the ladder meets the top of the wall

Related Questions

The difference between 8 and 3
times a number is 29

Answers

Answer:

5.8

Step-by-step explanation:

8 - 3 = 5

29/5 = 5.8

x(8-3)=29

The difference times a number is in parenthesis and if it needs to be multiplied, use x as a variable and make it equal to 29

Write 14/25 as a decimal. Show work

Answers

Answer:

14.25 decimal para saken

Find the missing number to make these fractions equal.
3/4 = blank/8

Answers

Answer:

6/8

Step-by-step explanation:

You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.

Answer:

6/8

Step-by-step explanation:

you multiply both numbers by 2

Please help asap!! I will mark you as brainliest. :)

Answers

the measure of the angle 5 is hekdbssj and the rleation
3,6, and 7 are all equal

PLSSS HELP THIS IS DUE IN 10 MINS PLS SHOW WORK TYY

find all missing angles

Answers

Answer:

what are all the angles?

Step-by-step explanation:

y is 107 because verticaly opposite
360-107-107=146
146/2= 73
Z and x are 73 because vertically opposite

Which values for x, y, and z satisfy the equation 7xy/z=28

Answers

Answer:

try x= 4z/y

Step-by-step explanation:

A whole number whose square root is an integer

Answers

Answer:

These are also called "Perfect Squares", and if you're asking what I think you're asking, the first 20 perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.

Step-by-step explanation:

The possible integer square root are 0,1,2,3 and 4

I don't know how to explain it but please help!

Answers

Answer:

required answer. is 1/x³

What is area of figure. The height is 10m base is 25 m

Answers

Answer:

If it is a 4-sided figure: 250 m

If it is a triangle: 125 m

Step-by-step explanation:

SOMEONE PLEASE HELP ME!!!!!! I RLLY NEED THE ANSWER TO THIS!!!


The Pythagorean Theorem states that a² + b² = c?, where a and b are legs of a
right triangle and c is the hypotenuse. Are you able to simplify the Pythagorean
Theorem further to say that a + b = c? Explain.

Answers

Answer:

yes, you can square root to entire equation to get to a+b=c, the square root cancels out the 2

Step-by-step explanation:

Helen buys a fleet of taxis for her new business.
The bank lends her £300 000 and she uses this money
to buy the taxis which cost £23 400 each.
a) How many taxis can she buy?
b) How much of the loan will be left over?

Answers

Answer:

a=12 b= 19200

Step-by-step explanation:

Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many stickers does each boy have?

Answers

You can solve this question by setting up an equation. Dan has twice as many stickers as Cam does. We can call Dan 2x, and Cam x. So the equation would be:
2x-15=x+22.
Then solve this equation:
Add 15 on both sides
2x=x+37
Subtract x on both sides
2x-x=37
X=37.
Therefore Cam has 37 stickers, and Dan has 74 stickers.

SOMEONE PLEASE HELP ME WITH THIS QUESTION!

Answers

Answer:

i dont know but i have a pic for u

Step-by-step explanation:

At most 3 because 21% of 10 people is 2.1 people so the most would be 3 according to that statistic.

Solve for X: -2(6x+4)=88. Answer fast please

Answers

Answer:

√x+2=2

Step-by-step explanation:

Find the area of this composite figure.

Answers

Answer:

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Area of a rectangle: Area = Length x Width

Have to look at it in two different rectangles and add up the areas.

• 8 x 4 = 32

• 2 x 4 = 8

• 32 + 8 = 40

• Area of the figure is 40!

PLZZ HELP!!! WILL MARK BRAINLIEST IF CORRECT! A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) Question 3 options: 1) It is not a valid sample because it is only a short study. 2) It is a valid sample because money is offered to participants. 3) It is a valid sample because the first 10 people were selected to participate. 4) It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Answer:

1.) It is not a valid sample because it is only a short study

Step-by-step explanation:

Hope this helped!! :)

Stay safe and have a wonderful afternoon!!!!!

There are 4 dogs, 6 cats, a rooster and 8 pigs on a farm. What is the ratio of
pigs to all the other animals?
A.8:11
B.11:8
C.8:10
D.10:8

Answers

answer: c. 8:11

explanation: pigs to the other animals, which adds up to 11, so the answer is 8:11

Answer: A, 8:11

Step-by-step explanation:

4 dogs + 6 cats + 1 rooster = 11

8 pigs

ratio for pigs to other animals  : 8:11

8 goes first bc the question was "What is the ratio of

pigs to all the other animals? "

pigs first - other animals second

Which graph represents y = –4x + 4? HURRY PLEASE HELP!!

Answers

y=-4x+4
-4 is the gradient
So it goes downwards
+4 is the y intercept so where it crosses the y axis
Bottom right one

Please answer, I’ve been stuck on this the whole day, so basically I only need the four digit code. You can read the instructions on the paper. Thank you so much if you decide to answer ❤️.

Answers

I got 6103 or BEHI for the answer

A total of 14 participants have entered an art competition.
How many ways can 1st place through 3rd place prizes be awarded?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

14(13)12=2184

A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x

Answers

Answer:

D c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

not really an explanation

Rayshawn is filling his water jug with water. After one minute, there are 2 gallons
of water in the jug. After two minutes, there are 5 gallons of water in the jug.
After three minutes, there are 8 gallons of water in the jug. If this pattern
continues, how many gallons of water will be in the jug after five minutes?

Answers

Answer:

There will be 20 gallons in this jug after 5 minutes.

Step-by-step explanation:

You are simply adding 3 to each number.

Starts out with 2

+3=5

+3=8

+3=11

+3=14

+3=17

+3=20

Answer:

After 5 minutes there will be 14 gallons of water.

Step-by-step explanation:

The gallons go up by 3. 2+3= 5+3= 8+3= 11+3= 14

Find the median of the following data: 1, 6, 12, 19, 5, 0, 6

Answers

Answer:

8 is the median of the data given

Hope it helps

Dm em if it helps

7. Which equation is graphed below?
A. y = x + 1
B. y = |x|
C. y = [x]+1
D. y =[x]

Answers

Answer:A. I hope this helped you.
Answer A

Set by step explanation: ....

Nathan is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Nathan need to invest, to the nearest dollar, for the value of the account to reach $280 in 12 years?

Answers

Answer:

223 (rounded to closest one) actual answer would be 222.91479275

Step-by-step explanation:

use formula A=Pe^nt

$280 = Pe^0.019(12)

$280 = Pe^0.228, then evaluate the solution by isolating the variable and dividing each side by the factors which don't contain the variable.

P = 222.91479275

GRADE 7 MATH URGENT

A class of 25 children is having a pizza party. Each child will eat 3/8 of a pizza. How many pizzas do they need to order?

Answers

A. 8 pizza pies at 10 pc. per pie = 80 available pieces

B. Let X be the number of children. Number of pieces eaten = 5 per child = 5X.

c. 22 pieces are left over.

D. Combine line A and line C. Total number of pieces eaten = 80 original minus 22 left over. Result 58 pieces were eaten by X children: 58 = 5X.

E. Solve the equation 58 = 5X by dividing both sides by 5.

WHOOPS! Is this a trick question? Solving the above results in the answer that there are 11.6 children at the party. Hmmm. That 0.6 child is a question mark for me.

Looks like someone miscounted the pizza slices. Or omitted some pertinent information. But, I’m sure there is a logical answer.

Answer:

10 pizzas

Step-by-step explanation:

To find the answer for this question you need to multiply 3/8 by 25.

3/8 * 25 = 9.375

You can't buy .375 of a pizza so you round it up and get 10.

Please help me on this!
Show work please!

Answers

Answer:

Use M A T H W AY

trust me its goated

What are the length and width of the frame?

Answers

{2l+2w=62}

1-2w=1

I don't know the answer its not in my syllabus nor I was thought this one

Can someone please help me​

Answers

Answer:

131.88cm

Step-by-step explanation:

Implement the formula for circumference of a circle:

2×pi(3.14)×r, r= 21cm and pi is given as 3.14. Substitute your given values into the formula above:

2 × 3.14 × 21= 131.88cm to the nearest hundreth

Help me with this problem

Answers

the answer is 60 since the other shape has same answer for that side

Answer: x=60

Step-by-step explanation:

Hey! X would be 60 because the diagram on the left has proportions of 6/6. The diagram on the right has a porportion of x/60.  We want the proportions to be equal so it has to be 60!

6/6 = 1

60/60 = 1 (they are now equal and have equal proportions!)

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