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

You bought the new PS5 and 4 games for $660. the PS5 cost $499 and each game cost the same amount. Write an equation that can be used to solve how much each game cost and solve the problem.

Answers

4x+499=660
X=40.25
X equeals the amount for each game.

Help for math. Question is down below

Answers

Step-by-step explanation:

3/5=0.6

3/4=0.75

2.75/0.6= 4.58 =~ 5

approximately 5 servings

11 pointsI just need help PLEASE HELP ME IF YOU DO ILL THANK YOU AND GIVE POINTS

Answers

Answer: 1/5

Step-by-step explanation:

So stats. The using the results im guessing there are 20 cards since we aren't told otherwise. since we drew diamond roughly 4 out of the 20 cards we have a 20% or 1/5 chance of drawing diamond randomly

Answer: 1/5

Step-by-step explanation:

Add all 8+3+5+4=20

4/20

simplify by 2

4/2= 2  20/2= 10 = 2/10

simplify by 2 again

2/2= 1  10/2=5

=1/5

2(2x + 3) = -6(x + 9)

Answers

Answer:

Your answer is -6.

Step-by-step explanation:

Simplify 2(2x+3) to get 4x+6  

Then simplify -6(x+9) to get -6x-54

Now you have 4x+6=-6x-54

Move all of the coefficients to one side:

10x+6=-54

Move all of the constants to the other side:

10x=-60

Divide each side by 10:

10/10x=-60/10

To get your answer of -6.

What i
Bill will randomly pick one marker from a bag and one crayon from another
bag.
• There are 3 red markers, 2 green markers, and 1 blue marker in the first
bag.
• There are 2 brown crayons and 3 purple crayons in the second bag.
G
C
C
C

Answers

Answer:

Answer: B, 6/11

Step-by-step explanation:

Well we know that 3+2+1=6+3=9.

So that means we will add the 2 brown crayons to the denominator.

The denominator before we added 2 to it, it was 9 as a common denominator. If we want to get the common numerator we are going to have to add the top and that will become 9 then you will have to subtract that by 3

6/11 is also the smallest number that you can get.

You can turn the fraction into a decimal and have it that way to make it easier.

When you turn a fraction into a decimal the number is always the same but with comparing numbers it is a lot easier to do than comparing fractions

Hope this helps, and if it did I would appreciate it if you marked me as Brainllest. Have a wonderful day!

Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.

Last year, 9 employees of an electronics company retired. Their ages at retirement are listed below.

51 61 62
54 68 58
60 57 54

Find the mean retirement age.
58.3 yr
57.7 yr
58.0 yr
57.1 yr

Answers

Answer:

58.3

Step-by-step explanation:

Matthew went to the store to buy some of the ingredients for Indian pudding for his mother. He bought cornmeal ($1.74), cinnamon ($2.10), milk ($2.95), and eggs ($1.52). How much did Matthew spend? How much change would Matthew receive if he gives the cashier a $20 bill?

Answers

Answer:

8.04 and he would have 11.96 left over

Step-by-step explanation:

PLS HELP IM DESPERATE I GIVE 10 POINTS EACH PERSON
A double box-and-whisker plot represents the stock prices of Company A and Company B over a 30-day period. Both companies have a minimum price of $3 and a maximum price of $10. The median price for Company A is $6 and the median price for Company B is $9. Which company is more likely to have a symmetric box-and-whisker plot? Explain.

Answers

Answer:

company a

Step-by-step explanation:

It is probably company a because if you make a box and whisker plot in your head the median of 6 would be more in between 3 and 10 than 9. If the median were 9 it would probably be skewed. If 6 is near the middle the box and whisker plot would look more symmetric

h(t)=-10x+6 h(?)=-44

Answers

Answer: h(5)=-44

Step-by-step explanation:

Given

h(t)=-10x+6

h(?)=-44

Substitute the [-44] value to the first equation

-44=-10x+6

Subtract 6 on both sides

-44-6=-10x+6-6

-50=-10x

Divide -10 on both sides

-50/-10=-10x/-10

x=5

Hope this helps!! :)

Please let me know if you have any questions

I have one word to say. MATH.

Answers

I believe it’s c ^^
since you multiply the numerators and denominators.. so since the first fraction is 1/2 & the second is 3/4, you’d multiply it like:
1 x 3 & 2 x 4, giving you 3/8.

HELP PLZ there are no answer choices plz

Answers

the answer would be 12.5
if this is scale factor .. you have to divide the side by each other
10/4 = 2.5
20/8 = 2.5
which means 5 multiply by 2.5 equals 12.5

You roll a 20-sided die and a 6-sided die. What is the probability that the sum of the dice is less than 5?

Answers

Answer:

8 in 26 i think.

Step-by-step explanation:

im pretty sure if it is supposed to be less than five then you need to add the number of digits and those are the odds. pretty sure.

5%

Did the quiz and got it right, explanation given:

Determine the size of the sample space. Look for how many of those outcomes result in the dice adding up to either a 4, 3, or 2. Then use the addition rule to get the probability.

pls tell me how to do it

Answers

Answer:

1) 35

2) 125

Step-by-step explanation:

1)

angle adc = x

x+ 90 + 20 = 180                (triangke sum property)\

x = 180 - 110 = 70

angle bdc = 70/ 2 = 35          ( the median cuts the angle into 2)

2) cbd = x = 125

x + c + bdc = 180

x + 35 + 20 = 180

x = 180 - 55 =  125

I hope im right!!!

oli , Sam and Tim share £360 in the ratio 3:2:1 . what's sa
ms share

Answers

Answer:

it on web I had this question once

Step-by-step explanation:

put it in web and you be find

The amount that Sam get (the share of Sam) is £120

What is ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Same thing happens for 3 quantities and more such quantities.

So if its given that Oli, Sam, and Tim's share (total  £360) are in the ratio 3:2:1, that means some common factor (lets call it 'x') must be cancelled off as 3+2+1 don't equate to 360.

So, we have:

Oli's share = 3xSam's share = 2xTim's share = 1x = x

Their total evaluates to 360 (in euros).

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, we get:

[tex]3x + 2x + x = 360\\(3+2+1)x = 360\\6x = 360\\\\\text{Dividing both the sides by 6}\\\\\dfrac{6x}{6} = \dfrac{360}{6}\\\\x = 60[/tex]

Thus, we get:

Oli's share = 3x = 3×(60) = £180Sam's share = 2x = 2×(60) = £120Tim's share = 1x = x = £60

Thus, the amount that Sam get (the share of Sam) is £120

Learn more about ratio here:

brainly.com/question/186659

I could use a little help on this question take your time and please give the right answer if you dont give the right answer its fine

(reward for best answer):D

Answers

Answer:

3/5 or three fifths

Answer:

62 cookies

Step-by-step explanation:

If we take 40 and divide by 24 we get 1.6 that means for every normal cookie there is 1.6 chocolate cookies. With that we can simply just divide 100 by 1.6 to get 62.5 I chose to round down.

In parallelogram ABCD, AB = (2x + 15) and 4C = x. Find x.
O55
O60
O15
O45

Answers

Answer:

x = 55

Step-by-step explanation:

ABCD is a paralellogram, m∠ABC = 2x + 15, m∠BCD = x

m∠ABC + m∠BCD = 180° (same side interior angles)

2x + 15 + x = 180

3x + 15 = 180 -15

3x = 165

x = 55

I need fast help help help me

Answers

Answer:

d

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

can you please give me brainliest? thanks!

hope this helps!

What is 16+2 and 18-3 and 2*3?

Answers

Answer:

16+2=18

18-3=15

2*3=6

Step-by-step explanation:

Translate the sentence to an equality a number c increased by 2 is less than or equal to -15​

Answers

Answer:

c+2 [tex]\leq[/tex] -15

Step-by-step explanation:

increased by means "+"

less than or equal to means "[tex]\leq[/tex]"

I need help !! This is being timed

Answers

How much time do Uu have?

First Blank: 18.5

Second Blank: 37

A penguin at the zoo dives into the pool and its path is modeled by the equation: \large h\left(t\right)=t^2-6t, where h(t) is the penguin's depth, in feet, and t is the time, in seconds, since the penguin start of the dive. Find the value of h(2) . Which of these sentences best represents the meaning of this point in the context of this question?

a
6 seconds after the penguin dives in, it is 2 feet below the surface.
b
2 seconds after the penguin dives in, it is 8 feet below the surface.
c
8 seconds after the penguin dives in, it is 2 feet below the surface.
d
2 seconds after the penguin dives in, it is 6 feet below the surface.

Answers

Answer:

divide then multply

Step-by-step explanation:

You need a piece of paper to measure 56.34 cm. If you tape two together that each measure 35.87, how much do you need to cut off

Answers

Answer:

you will need to cut off 15.4 cm

Step-by-step explanation:

35.87×2=71.74

71.74-56.34=15.4

rename 1/2 and 2/3 as fractions with denominators of 6.then add the renamed fractions. write the sum as a mixed number.

Answers

Answer:

1 and 1/6

Step-by-step explanation:

To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.

2 goes into 6 three times.

1 times 3 is 3

and 2 times 3 is 6

so 1/2=3/6

3 goes into 6 twice

2 times 2 is 4

and 2 times 3 is 6

so 2/3=4/6

to add fractions you add the numerators while keeping the denominators the same.

3+4=7 so:

3/6+4/6=7/6

6/6=1

so 7/6 contains 1 whole

once you take that out you have 1/6 left over

In the ​triangle XYZ​, the measure of ​∠XYZ​ is 104°, and the measure of ∠YZX is 19°. What is the measure of ∠ZXY?

Answers

Answer:

∠ZXY = 57°

Step-by-step explanation:

According to angle sum property of a triangle, sum of all the angles of the triangle is [tex]180[/tex]°.

In ΔXYZ,

∠XYZ + ∠YZX + ∠ZXY = 180°

Put ∠XYZ = 104°, ∠YZX = 19°

104° + 19° + ∠ZXY = 180°

123° + ∠ZXY = 180°

∠ZXY = 180° - 123°

∠ZXY = 57°

Therefore,

∠ZXY = 57°

Answer:

57

Step-by-step explanation:

a solid metal cone with radius of base 12 cm and height 24 cm is melted to form spherical solid balls of diameter 6 cm each. Find the number of the balls thus formed​

Answers

Answer:

32 solid balls are formed.

Step-by-step explanation:

Let suppose that volume of the cone is equal to the total volume of balls, of which we derive the following formula:

[tex]\frac{1}{3}\cdot \pi\cdot R^{2}\cdot h = \frac{1}{6}\cdot \pi \cdot n \cdot D^{3}[/tex] (1)

Where:

[tex]R[/tex] - Radius of the base of cone, measured in centimeters.

[tex]h[/tex] - Height of cone, measured in centimeters.

[tex]D[/tex] - Diameter of sphere, measured in centimeters.

[tex]n[/tex] - Number of balls, no unit.

Then, we clear the number of balls:

[tex]2\cdot R^{2}\cdot h = n\cdot D^{3}[/tex]

[tex]n = \frac{2\cdot R^{2}\cdot h}{D^{3}}[/tex]

If we know that [tex]R = 12\,cm[/tex], [tex]h = 24\,cm[/tex] and [tex]D = 6\,cm[/tex], then the number of balls is:

[tex]n = \frac{2\cdot (12\,cm)^{2}\cdot (24\,cm)}{(6\,cm)^{3}}[/tex]

[tex]n = 32[/tex]

32 solid balls are formed.

Lonnie has saved 80% of the money she needs to buy a new video game if she has saved$36 how much does the video game cost​

Answers

Answer:

$45

Step-by-step explanation:

Pls mark me brainliest

The length of a rectangular prism is three times its width. The height is two times the length. If
its width is 2x^3 units, what is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

Length = 3(2x^3) = 6x^3

Height = 2(6x^3) = 12x^3

Volume = (6x^3)(12x^3)(2x^3)=144x^9

I NEED HELP I ONLY HAVE 20 MINUTES

Answers

Answer:

hello I don't understand forgiveness helped me in my task

Step-by-step explanation:

2. Find the correlation coefficient AND best fit line, of the following data use the linear model
Commute Time
(in minutes)
х
Age of Vehicle
(in years)
Y
10
6
20
12
30
2
40
7
50
6
6
60
70
12
80
2
90
10
Stay in the to

Answers

Ans? u9999y

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Factor to write an equivalent expression to 36a−16

Answers

Answer:

4(9a-4)

Step-by-step explanation:

Answer:

4(9a-4)

Step-by-step explanation:

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