If you place a 32-foot ladder against the top of a 23-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:

22.2 feet

Step-by-step explanation:

Treat the ladder, building, and the ground between the bottom of the ladder and the building as the legs of a right triangle.

Then, you can use the Pythagorean Theorem.

X^2 + Y^2 = Z^2

The ladder is the "diagonal" side, so it is the hypotenuse, Z.

It doesn't particularly matter whether the building is X or Y; the end result will be the same.

Therefore:

(23)^2 + Y^2 = (32)^2

Y^2 = (1024 - 529) = 495

Y = 22.249; rounded to the nearest tenth, 22.2 feet

I hope this helped! :)


Related Questions

Can u pls help me with this question

Answers

Answer:

[tex]-k^2+7k[/tex]

Step-by-step explanation:

Using the given equations, we must find [tex]C-B[/tex]

Start by substituting the given values into the expression:

[tex]C-B\\k-3-(k^2-6k-3)[/tex]

Now, take the terms out of the parentheses.

[tex]k-3-(k^2)-(-6k)-(-3)\\k-3-k^2+6k+3[/tex]

Please note that two negatives make a positive

[tex]k-3-k^2+6k+3[/tex]

Combine like terms:

[tex]-k^2+7k[/tex]

PLEASE HELP
I NEED THIS NOW

Answers

Answer:

the 3rd one and the last one

Step-by-step explanation:

functions can't have the same y coordinate.

The y-intercept of g(x)=3/5f(5x) is 15.
Which of the following is the y-intercept of f(x) ?
A/ 3
B/9
C/25
D/75

Answers

Answer:

  C)  25

Step-by-step explanation:

A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).

Here, we are given ...

  g(x) = 3/5·f(x)

This means the y-intercept is also scaled:

  g(0) = 3/5·f(0)

  f(0) = 5/3·g(0) . . . . . multiply by 5/3

  f(0) = 5/3·15 = 25

The y-intercept of f(x) is 25.

Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?

Answers

Answer: Sara's transaction involved more money.

Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.

If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need

Answers

9 cupcakes . 18x0.5 is 9.

please helppp
Prove that:​

Answers

i think the answer is 12

Step-by-step explanation:

Please find attached the solution.

Slope- intercept form: y= -4/3x + 2

what is the standard form?

Answers

Answer:

4x+3y=6

Step-by-step explanation:

hope this helps

can someone help me with these

Answers

Answer:

a=(x+7)(x+-2)

Step-by-step explanation:

(x+a)(x+b)=x²+(a+b)x+(ab)

Answer:

  a) (x +7)(x -2)

  b) x = -7 or +2

Step-by-step explanation:

a)

A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:

  -14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)

Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...

  x² +5x -14 = (x +7)(x -2)

__

b)

The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.

  x +7 = 0   ⇒   x = -7

  x -2 = 0   ⇒   x = 2

The solutions are x = -7 or x = 2.

Question is in the picture:

Answers

Answer:

the answer is 224 that's my answer

Answer:

48

Step-by-step explanation:

es el porcentaje de 200 en la calculadora seria 24 x 200/100

Claudia can text 3 times as fast as Fiona. Claudia can text 78 words per minute. How many words per minute can Fiona text?

Answers

Answer:

Fiona can type 26 words per minute.

Step-by-step explanation:

Just divide 78÷3 (78 words divided by the x3), which gives you 26.

Hope it helps!

The cubic polynomial f(x) is such that the coefficient of x^3 is 2 and the roots of the equation f(x)=0 are -1, 3 and c. It is given that f(x) has a remainder of 8 when divided by x - 1. Find the value of c.​

Answers

Answer:

1 add on both sides

subtract

2

4

4

What is the equation of the line that passes through the point (4,6) and has a
slope of 0

Answers

Solution:

We know that:

(x,y) = (4,6) ⇒ x = 4, y = 6Slope = 0

Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.

y - y₁ = m(x - x₁)⇒ y - 6 = 0(x - 4)⇒ y - 6 = 0⇒ y = 0 + 6⇒ y = 6

Thus, the equation of the line is y = 6.

Answer/Step-by-step explanation:

Given us that;

Passes through the point (4,6)

slope of 0

Note;

The equation of a line has the form:

y - y₁ = m(x - x₁)

Solve;

Now we plug in the coordinates of the given point the line goes through, and solve:

y - 6 = 0(x - 4)

y - 6 = 0

y = 0 + 6

y = 6    

Hence,  equation of the line is y = 6

[RevyBreeze]

Katrina works as an agent for "Let's Go Air". She averages fifteen passengers every twenty minutes. Stefon also works for the airline and averages fifteen passengers every twenty-five minutes. If Kathrina and Stefon work together, about how many minutes will it take to process fifteen passengers?

Answers

The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.

How to solve the equation

Since Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:

1/x = 1/20 + 1/25

1/x = 9/100

9x = 100

Divide through by 9

x = 100/9

x = 11.11 minutes

Learn more about equations on:

https://brainly.com/question/1214333

Evaluate the expression for f=-10 9f+39

Answers

Answer:

The answer is 129.

Step-by-step explanation:

If f = 10, we would have to multiply 9 x 10, which is 90.

Add that to 39, and you will get 129.

Hope you can understand this

Answer:

-51

Step-by-step explanation:

The graph below describes the journey of a train between two cities.

a) Work out the
acceleration, in km/h?,
in the first 15 mins.

b) Work out the distance
between the two cities. $60
Velocity (in km/h)

c) Work out the average
speed of the train during 20
the journey.

Answers

Answer:

[A] Acceleration in first 15 min = 200  km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Hence, Answer for [A] = 200  km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

[RevyBreeze]

Write a vocabulary term for this analogy.

A double bar graph is related to a bar graph in the same way as a(n) ___?___ is related to a box plot

Answers

He was okay but okay I just told her

What is the domain and limit(s) of f(x)=1/x+3?

Answers

find the domain by finding where the function is defined. The range is the set of values that’s correspond with the domain

b. Find the co-ordinates of the mid-point of the line joining the points A(4,-6) and B(-2,4)​

Answers

Answer:

(2, 4)

Step-by-step explanation:

correct me if im wrong if i am im sorry

pls help I just want to enjoy spring break plsssss​

Answers

Answer:

homedogxD: 74 + x + 62 + 55 = 180. So x = -11

Step-by-step explanation:

This is from homedogxD but no one put it as an answer so..................

Dilate the figure with the origin as the center of dilation.

(x,y) → (1.5x, 1.5y)​

Answers

Step-by-step explanation:

try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').

If I drove 15 1/2 miles in 2/5 hours, what is my average speed in miles per hour?

Answers

Answer:

(15 1/2 ) divided by 2/5= 38 3/4 miles per hour

7.5 miles in​ 1/4 hour

Answers

Answer: name? must ride 7.5 miles in 1/4 hour to achieve this target speed so  gender? needs to ride  an addititonal 9.8 mile per1/4 hour

Step-by-step explanation: yeah you welcome

The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?

Answers

You would use the method butterfly method so cross divide

In addition to writing new facts for February 29, the twins also need to add another image in the middle of their flip-book animation. The animation sequence is of Dorothy's house from the Wizard of Oz as it is being carried over the rainbow by a tornado. The house in the February 28 drawing has been rotated to create the house in the March 1 drawing. Carlos believes that he can get from the February 28 drawing to the March 1 drawing by reflecting the February 28 drawing, and then reflecting it again.

A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?

B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?

C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?

Answers

Answer:

Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?

Step-by-step explanation:

In addition to writing new facts for February 29,  you gotta do what you learned and add the houses

For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% _____ B. 4/5 ______ C. 17/25_______. D. 27/50_______. E. 0.45_______

Answers

Answer:

A. 38% -  19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20

Step-by-step explanation:

A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68

D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%

At the end of a 5-year term, what is the balance of an $8,000 investment at a simple interest rate of 1. 8 percent?


Round to the nearest dollar.



$8,000



$8,720



$8,751



$9,382


PLEASE HELP ASAP!!!!!!!!!!!!!!! QUESTION 47 CONCUMER MATH

Answers

Answer:

$8,720

Step-by-step explanation:

SI = PRT where;

SI = simple interest

P = principal amount/starting amount

R = rate as a decimal/fraction

T = time in years

I = 8000 . 5 . 0.018

I = 720

8000 + 720 = 8720

whats 506 divided by 6

Answers

Answer:

84.33333333

or rounded...

84.3

or 84 if asked to be rounded to whole

506/6 = 84.333333333333 so on and so on

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]

help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?

Answers

564, 20,304 divided by 36=564

Answer: 564 patrons. also omg chiaki pfp so based

A cylinder has a radius of 17 millimeters. Its volume is 13,611.9 cubic millimeters. What is
the height of the cylinder?
Use 3.14 and round your answer to the nearest hundredth
millimeters

Answers

Answer:H=15.00mm

Step-by-step explanation:

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