the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach

Answers

Answer 1

Answer:

The ladder reaches [tex]15ft[/tex]

Step-by-step explanation:

In the first case we have

[tex]cos\theta =\frac{12}{15}[/tex]

In second case let the height be [tex]x[/tex]

We have

[tex]sin\theta =\frac{x}{25}[/tex]

We know that

[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]

Substituting

[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]

The ladder reaches [tex]15ft[/tex]


Related Questions

A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15

Answers

Described high mining link mph log no bugs bugs

it takes 5 days to repair 1250 meters of road.

At this rate, how many days will it take to repair 8 kilometers of road?

Answers

Answer:

2000 Meters

Step-by-step explanation:

First, DIvide 1250 by 5 and you get 250. Multiply by 8 and you get 2000.

The answer is 32 days

8 kilometres is 8000 meters

We know that 1250 meters takes 5 days, so we can work out how many times 1250 goes into 8000 to find out how many times longer it will take


8000 / 1250 is 6.4

It will take 6.4 times longer to produce 8km

6.4 x 5 is 32

32 days

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

V = 14130 inches cubed

Step-by-step explanation:

the volume formula for a sphere is  [tex]V=\frac{4}{3} \pi r^{3}[/tex]. To solve plug in the values for each part of the equation. Pi will equal 3.14, and r will equal 15.

if the two coffee shops combine their supplies, how many stirrers will they have for tousday?

Answers

Answer:

50?

Step-by-step explanation:

it's 50 20+25i don't even know if this is the correct answee

how to do theoretical probability on calculator

Answers

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

There is 1 man and 9 women running a race. What is the ratio of the number of female runners to the total number of runners?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

Which equation has a solution of 34 for y?

Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4

Answers

Answer:

The answer is I don't know

in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answers

The total number of students who studied only two subjects is 13.

The given parameters:

Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  https://brainly.com/question/2041029

The quotient of 45% -31. - 15) and a polynomial is (-3). What is the pokyrıcaiak
A
Ox5% -6% -30% * 944 45
0-5
O % 45
O % * 5% 46% - 30% * 944 45

Answers

Answer:

A

Step-by-step explanation:

Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??

Answers

600 x 0.60 = 360 pounds

360 /0.72 = 500

He got $500

If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
much water is necessary to water all the plants in the house? *

Answers

Answer:Group of answer choices 2/5 x ? = 4/3 ? X 2/5 = 4/3 4/3 x ? = 2/5 ? ÷ 5/2 = 3/4 4/3 ÷ 2/3 = ?

Step-by-step explanation:If 4/3 liters of water is enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Select all of the multiplication and division equations that represent this situation.

Answer:

3 1/3 liters of water

Step-by-step explanation:

4/3 is to 2/5

What 1 is to x

(4/3) / (2/5) = 10/3 = 3 1/3

is 4y=16x a Direct variation

Answers

In the given equation, as the value of y increase, the value of x also

increases.

Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where k is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

https://brainly.com/question/6499629

ok sooo um another post again hahahaha
but anyways, to the question.

Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.

20.2 miles > 17.6 miles​

Answers

Answer:

Enter a value for a so that the system of equations shown has infinitely many solutions.

y = −5x + 9y =    ax + 9

Step-by-step explanation:

Pls help pls help it’s my last question

Answers

Answer:

5

Step-by-step explanation:

Answer:

3 3/4

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

It is y=2/3x. Think rise over run. It rises 2 and goes across 3

PLEASE HELP ME (third times the charm)!!!!!!!

Answers

Answer:

the first option i think

find the ratio of : 800 ml to 4.8 litres​

Answers

Answer:

The ratio is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We have

[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]

Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)

Answers

Answer:

  (-4, 0)

Step-by-step explanation:

The midpoint M of segment AB is found by averaging the coordinates of the end points:

  M = (A +B)/2

Solving this for point B, we find ...

  2M = A +B

  2M -A = B

Then the other end point is ...

  2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)

The other end point is (-4, 0).

I need help ASAP …………….

Answers

Answer:

for me the answer is y=0.17x+2

not sure

correct me if im wrong

love ya

Step-by-step explanation:

#brainly

Evaluate the function.

f(x)=-3x^2-20

Find f(−7)

Answers

Answer:

Answer: f(-7) = -167

Step-by-step explanation:

[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]

• When x is -7, f(x) is f(-7):

[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]

Based on the calculations, the evaluation of this function is equal to -167.

Given the following data:

[tex]f(x)=-3x^2-20[/tex]

How to evaluate a function.

In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.

Note: The value of x is equal to -7.

Substituting the given parameter into the function, we have;

[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]

f(-7) = -167.

Read more on function here: https://brainly.com/question/10439235

Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.

Answers

Answer:

up to 232

Step-by-step explanation:

Let x = number of students

The number of bottles for the students is 2x since they give 2 bottles per student.

2x + 35 = 500

2x = 465

x = 232.5

Answer: 232

Please help! If you do tysm!!

Answers

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

Can someone plz help Me?

Answers

Answer:

It’s A :D

Step-by-step explanation:

3 goes into 12 4 times

4 times 4 equals 16

so 16 can of soup

and then! 4 goes into 36   9 times

Click the picture to see inside! :3

Hope this helps :DDD

Four times a number, minus 9, is equal to three times the number, plus 2.

Answers

Answer is
4x-9 = 3a+2

If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?​

Answers

After 23 years

hope this is helpful!

Which of these is a correct statement?

Answers

I got work on my B I got a A

Help plsss I REALLY need help!

Answers

Answer:

6x^2√x

Step-by-step explanation:

6 times 6 is 36

So you can take 6 out and leave x^5

However x^5 also have a power to square by:

x^4 which can turn into x^2

So we can take x^2 out

So the answer is 6x^2√x

Hope this helps!

I think its

the bottom left i might be wrong

Which is a solution to the following system of inequalities?

A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)

Answers

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

Michael is packing books into boxes. Each box can hold either 15 small books or
8 large books. He needs to pack at least 35 boxes and at least 350 books. Write
and graph a system of linear inequalities to represent the situation

Answers

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (at least) 35

x + y ≥ 35

 

Since John needs to pack at least 350 books:

 

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350

 

Your system of inequalities is:

 

x + y ≥ 35

15x + 8y ≥ 350

GO INTO DESMOS TO GRAPH

HELP!! Scaler multiplication of vectors in component form

Answers

Answers:

<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>

===========================================================

Work Shown:

Problem 1

u = <-3,4>

2u = 2*<-3,4>

2u = <2(-3), 2(4)>

2u = <-6,8>

Effectively, we multiplied each coordinate by 2.

-----------------

Problem 2

g = <-1,1>

3g = 3*<-1,1>

3g = <3(-1),3(1)>

3g = <-3,3>

Same idea as problem 1, but we tripled each coordinate.

-----------------

Problem 3

z = <-3,-3>

-4z = -4*<-3,-3>

-4z = <-4(-3),-4(-3)>

-4z = <12,12>

-----------------

Problem 4

v = <6,8>

2v = <12,16> .... double both coordinates

u = <-3,4>

3u = <-9,12> .... triple both coordinates

2v-3u = <12,16>-<-9,12>

2v-3u = <12-(-9),16-12>

2v-3u = <12+9,16-12>

2v-3u = <21,4>

I subtracted the corresponding coordinates.

The general rule is <a,b>-<c,d> = <a-c,b-d>

-----------------

Problem 5

y = <1,1>

6y = <6,6> .... multiply each coordinate by 6

v = <6,8>

2v = <12,16>

6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>

This time we add the corresponding coordinates after scaling up the given vectors.

The general rule is <a,b>+<c,d> = <a+c,b+d>

-----------------

Problem 6

u = <-3,4>

v = <6,8>

3v = <18,24>

y = <1,1>

2y = <2,2>

u+3v+2y = <-3,4>+<18,24>+<2,2>

u+3v+2y = <-3+18+2,4+24+2>

u+3v+2y = <17,30>

-----------------

Problem 7

g = <-1,1>

4g = <-4,4>

y = <1,1>

A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>

z = <-3,-3>

v = <6,8>

5v = <30,40>

B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>

A+B = <-3,5>+<-33,-43> = <-36,-38>

-----------------

Problem 8

u = <-3,4>

v = <6,8>

2v = <12,16>

A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>

w = <8,-1>

g = <-1,1>

B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>

A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>

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