a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answers

Answer 1

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

Answer 2

Answer:

5 ft

Step-by-step explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

Hypotenuse = 13 ftVertical leg = 12 ftHorizontal leg = x

As per Pythagorean theorem:

x² + 12² = 13²x² = 169 - 144x² = 25x =√25x = 5 ft


Related Questions

Solve for X in the following proportion: 6/33 = 24/x

Answers

Answer:

132

Step-by-step explanation:

We are given the equation 6/33 = 24/x. We would like to solve for x.

To get rid of the fractions, let's multiply both sides by 33x:

(6/33) * 33x = (24/x) * 33x

6x = 24 * 33 = 792

Divide by 6 from both sides:

x = 792/6 = 132

Thus, x = 132.

~ an aesthetics lover

HELP which equation is modeled below​

Answers

Answer:

the last one

Step-by-step explanation:

because you have three xś and 2 negative ones add those together and you get -2 then the last bit is the answer which i checked is correct. i'm eighth grade so i am correct.

Glad to help.

the last one is modeled below

Given f(x) =
+ 2, find f(0)

Answers

Answer:

B

Step-by-step explanation:

toookt the test dude

What is the product 70 × 10^4? a 70,000 b 700,000 c 280 d 704

Answers

The correct answer is B. 700,000

Help me find the slope using the points on the graph below.

Answers

Answer:

3/-4 i think

Step-by-step explanation:

one point is -2/1 and the other 2/-2

1 - -2=3

-2 -2=-4

4g + 7g2 - 9 is a (select)
(select)

Answers

Answer:

an equation.

Step-by-step explanation:

a statement of the equality of two mathematical expressions.

Answer: Quadratic trinomial

The largest exponent is 2, so the degree is 2. This makes the polynomial a quadratic.

It is also a trinomial as there are 3 terms. Each term is separated by a plus or a minus. It might help to think of 4g+7g^2-9 as 4g+7g^2+(-9).

Use the diagram showing points P and Q. Determine which point is the remaining vertex of a triangle with an area of 4 square units. 1. R(2, 0) 2. S(-2, -1) 3. T(-1, 0) 4. U(2, -2)

Answers

Answer:

S(-2,-1)

Step-by-step explanation:

The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1). Then the correct option is B.

What is the area of the right-angle triangle?

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The distance between the points P and Q will be 4 units.

If the ordinate of the point is (a, 3) or (b, -1). Then the area of the triangle will be 4 square units.

The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1).

Then the correct option is B.

More about the area of the right-angle triangle link is given below.

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identify whether or not the following features are represents in the above diagram. for each feature that is represented write the name(s) denoted in the diagram.

Answers

Answer:

The rays represented in the diagram includes

Ray AB, NB, BN, BA

The vertex where rays NB and NA meets = N

Step-by-step explanation:

A ray is a line segment that extends endlessly from a given point. A ray is a line that has unbounded endpoint but has a start or endpoint.

A vertex is the point or corner which is the meeting point of two or more lines or rays. In the question, the meeting point of the rays NB and NA is the point N, which can be said to be the vertex of the two rays.

Help me please I’ll give you brainliest

Answers

Answer:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

Step-by-step explanation:

B) 7 2/3, √3/2, 4/5, -2π, -6.5

Molly bought a large basket of 6060 apples. When she got home, she found 44 rotten ones. If she goes back and buys 200200 more apples, how many rotten apples would she expect there to be?

Answers

Answer: 13

Step-by-step explanation:

This is the correct question:

Molly bought a large basket of 60 apples. When she got home, she found 4 rotten ones. If she goes back and buys 200 more apples, how many rotten apples would she expect there to be?

From 60 apples, there are 4 rotten apples. This gives a fraction of:

= 4/60

= 0.06667

Therefore, when she buys 200 apples, tge number of rotten ones expected will be:

= 0.06667 × 200

= 13.334

= 13 approximately

(GIVING BRANLIEST AND 100 POINTS) What is 4/2?

Answers

To simplify the fraction, we can divide.

4 / 2 = 2

Therefore, 4/2 is the same as 2.

Best of Luck!

Answer:

4/2 is equal to 2

Step-by-step explanation:

What is 4/2?

If you want to simplify 4/2, you will have to divide.

Let's divide.

[tex]\frac{4}{2}=2[/tex]

Hope this helps!

If you have fifty-four pieces of candy that need to be split up evenly
between you and your five friends, how much will each of you get?

Answers

"You" and your "5 friends" means that there are 6 people total.

All we need to do is divide.

54 / 6 = 9

Therefore, each person gets 9 pieces of candy.

Best of Luck!

The relation {(-1, 4), (2, 7), (3, 7)} is a function. TrueFalse

Answers

Answer:

True

Step-by-step explanation:

Every x has only one y-value

Answer:

True

Step-by-step explanation:

The ratio teachers to students at a school is 3: 74. There are 2500 students at the school. About how many teachers are at the school?

Answers

Step-by-step explanation:

3:74

x:2500

(3x2500)/74

=101

Answer:

100

Step-by-step explanation:

Map of Indiana is being made to a scale of 1/2 in:20 mi. Indianapolis is 120 miles from Fort Wayne how far apart from each other will they appear on this map

Answers

So if Indianapolis is 120 miles from Fort Wayne and a 1/2 inch on the map is equal to 20 miles, then you need to take 120 and divide it by 20 which is 6.

Your answer would be 6 inches.

[tex]p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q.[/tex]

Answers

Answer:

[tex]p + q = -6[/tex]

Step-by-step explanation:

[tex]p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p[/tex]

[tex]( p + q) ( p-q) = 6 ( q - p )[/tex]

[tex]p + q = \frac{6 ( q - p)}{(p-q)} \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6[/tex]

Carol got $500 for her birthday. She wants to buy some video games and a gaming system. An Xbox 1 costs $278. A new game costs $62. What is the most amount of games Carol can afford?

Answers

Answer:

She can buy 3 games.

Step-by-step explanation:

Giving the following information:

Carol got $500 for her birthday.

Xbox 1= $278

A new game costs $62

First, we need to structure the total cost formula:

Total cost= 278 + 62x

x= number of games

Now, we can isolate x:

500= 278 + 62x

222/62= x

3.58=x

She can buy 3 games.

Drag each tile to the correct box.
Place the steps of the respiration process in the correct order.
Air passes from the trachea to the
bronchi,
Oxygen enters tilblood cells.
Air enters the nostrils.
Air diffuses from the alveoli to the blood
cells.
Blood transports oxygen to other cells.

Answers

Answer:

Step-by-step explanation:1. Air enters the nostrils: The human nose has two openings, which are called as nostrils. The air from the surrounding atmosphere enters the human body firstly, through nostrils and than enters inside the nasal cavity.

2. Air passes from the trachea to the bronchi: The air through nasal cavity passes towards pharynx to larynx, then to trachea and the air enters into the lungs inside the branching network of small tubes called as bronchi.

3. Air diffuses from the alveoli to the blood cells: The brochial tubes are further, branched into small alveoli. At alveoli the exchange of oxygen and carbon dioxide containing blood takes place.

4.Oxygen enters the blood cells: The oxygen carrying blood passes from the alveoli into the capillaries, whereas carbon dioxide passes from the capillaries into the alveoli.

5. Blood transports oxygen to other cell: The blood flows from the lungs transports oxygen to all the cells of the body.

Answer:

1. Air enters the nostrils

2. Air passes from the trachea to the bronchi

3. Air diffuses from the alveoli to the blood cells

4.Oxygen enters the blood cells

5. Blood transports oxygen to other cell

Step-by-step explanation:

Alexander was given a gift card for a coffee shop. Each morning, Alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

Answers

Answer: [tex]A = 15 - 4x[/tex] .

Step-by-step explanation:

Total amount remaining = Initial amount in the card-( Cost per cup × (Number of cups) )

Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance.

i.e.  9 = Initial amount in card - (1.50 × 4)

⇒  9 = Initial amount in card - (6)

⇒  Initial amount in card = 9+-6 =15

⇒  Initial amount in card = $15

Let A be the amount money remaining on the card after buying x cups of coffee.

So,  A = 15 - 4x

Hence, the required equation is [tex]A = 15 - 4x[/tex] .

Answer:

A= -1.50x+15

Step-by-step explanation:

I’ll give brainliest pls help me:0

Answers

Answer:

68719476736

Step-by-step explanation:

(4−2)−9

=(4−2)−9

=4(−2)(−9)

=418

=68719476736

Answer:

This is pretty simple, im almost certain you just make all exponents positive.

Step-by-step explanation:

so just make it 4 to the power of 2, to the power of 9

Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH

Answers

Answer:

GH = 20

Step-by-step explanation:

We have that

FH = FG + GH ← substitute values

4x + 8 = x + 5x

4x + 8 = 6x ( subtract 4x from both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Hence GH = 5x = 5 × 4 = 20GH = 20

Together, Chelsea and Essence have $192. If Chelsea has a third of the amount of money that Essence has, find out how much money each person has individually.


Answers

Answer:

Chelsea has $48, Essence has $144

Step-by-step explanation:

Chelsea ; $48
Essence 144

What is the area of the rectangle below?
10
13

Answers

Answer:

C, 130

Step-by-step explanation:

Area is just length x width, it would just be 13*10

Answer:

C) 130 sq. units

Step-by-step explanation:

it's what I got

how to factorise the difference of perfect squares. for the g on the top and j on the top

Answers

Answer:

see explanation

Step-by-step explanation:

A difference of two squares is factored as

a² - b² = (a - b)(a + b)

(g)

1 - 81y²

= 1² - (9y)²

= (1 - 9y)(1 + 9y)

(j)

64x² - 25y²

= (8x)² - (5y)²

= (8x - 5y)(8x + 5y)

What are the perimeter and the area of the square?
80
200
400
8√5
16√5
32√5​

Answers

Answer:

680

8√5=17.8

16√5=75.7

32√5​=71.5

Step-by-step explanation:

What is the image of (-1,1) after dilation of 2

Answers

Answer: (-2,2)  

Step-by-step explanation:

Multiply the  x and y coordinates by the scale factor to find the new point or the image.

-1 * 2 = -2

1 *2 = 2

(-2,2)

Find AB given A(-4, 1) and B(3, -1).

Answers

Point AB is located at (-1.5,0)

Answer:

d = [tex]\sqrt{53}[/tex]

Step-by-step explanation:    

A red marble is selected at random from a bag containing 2 blues and 9 red marbles and is not replaced.the probability that a second marble selected will also be red is

Answers

Answer:

 So the probability of drawing a second red marble is 8 out 10 or 0.8.

Step-by-step explanation:

It seems to me that if one red marble is already gone, there are 8 red marbles left out of a total of 10 marbles.

So the probability of drawing a second red marble is 8 out 10 or 0.8.

Answer:

8/10 or 4/5 or 0.8

Step-by-step explanation:

since one red marble is already taken, there are only eight remaining now and the total number of marbles are ten now. So you have to divide.

Therefore, the probability is 8/10 or 4/5 or 0.8.

the area of a circle is 32 pi square units find its perimeter

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]

Step-by-step explanation:

Area of a circle ( A ) = 32 π units

Radius of a circle ( r ) = ?

Perimeter of a circle ( P ) = ?

First ,finding the radius of a circle :

[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]

[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]

[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]

[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]

Finding the perimeter of a circle ( P )

[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]

[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]

[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]

Hope I helped!

Best regards! :D

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Given,

The area of a circle is 32 π square units.

We need to find its perimeter.

What is the area of a circle?

The area of a circle is given by:

= π r²

The perimeter of a circle is given by:

= 2πr

Where r = radius

Find the area of a circle.

Area = π r²

32 π  = π r²

Divide both sides by π

32 = r²

r = ±√32

r can not be negative so we have,

r = √32

Find the perimeter of a circle.

P = 2πr

P = 2 x π x √32

P = 2√32 π units

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Learn more about how to find the circumference of the circle and the area of the circle here:

https://brainly.com/question/14966973

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The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (a) how many progressions are possible (b) what are the smallest and largest possble values of the first term?

Answers

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

Sum of terms:

Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19d

In order a₁ to be an integer, d must be even number, so d = 2k

202 = 2a₁ + 38k101 = a₁ + 19k

Possible values of k= 1,2,3,4,5

k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16

As per above,

a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82

Answer:

:) not right

Step-by-step explanation:

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