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 red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.

Answers

Answer: 1/4

Step-by-step explanation:

There are three even numbers and three odd numbers on a 6 sided dice

The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.

The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.

Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.

P(of both red and green even) = 1/2 * 1/2, or 1/4.

Answer:

3/4

Step-by-step explanation:

This is what I got for Acellus

One angle in a triangle is 4 times the size of another angle.The third angle 90, and three angles of tue triangle add up to 180.How big are the two unknown anges?

Answers

Answer:

30 degrees and 60 degrees

marlene is painting square tiles for a project.each tile has a perimeter of 16 in.what is the length of each side.

Answers

Answer:

64 i hope im right

Step-by-step explanation:

Answer: 4 in.

Step-by-step explanation:

A square has 4 equal sides for its perimeter.

Perimeter = 4x

16 = 4x

x = 4 in.

A restaurant customer left ​$2.60 as a tip. The tax 6% was and the tip was ​20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and​ tip?
b. What was the total​ bill?

Answers

Based on the tip left and its proportion of the total bill, the following answers are true:

a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00

A tip of $2.60 was left and this is said to be 20% of the bill including the tax.

The total bill is therefore:

Tip = Total bill x 20%

2.60 = Total bill x 20%

Total bill = 2.60 / 20%

= $13.00

We can see that the tax rate was not needed to compute the total bill.

In conclusion, the tax rate was irrelevant and the total bill was $13.00.

Find out more about taxes and tips in bills at https://brainly.com/question/24976122.

Does any one mind helping me on this question I have struggle solving it

Answers

-1=0

0.5=4.5

3=3.1

this is the answer

What is mAngleMHJ? 35 50 72.5 92.5

Answers

Answer:

Do you have any picture?

Answer:

50

Step-by-step explanation:

B.

The budget $_________ per guest

Answers

What’s the actual question?

which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2

1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)

Answers

Answer: Choice B  (4,3)

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

Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

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

Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

Learning Task 3: Solve the following problems. Write your SOLUTION and
your answers in you notebook.
1. What is the quotient if 24 is divided by 48?
2. Jean has 35 m of wire for hanging pictures. She wants to divide it into
50 pieces for her frames. How long will she use for each frame?
3. Father left Php5.00 for his 7 children. How much did each child
receive?
4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his
will, he divided his lot equally among his 7 sons. How much land will
each of his son receive?
5. Troy and Raffy went to the market to buy 15 kilos of meat. When they
came home, they divided the meat into 16 parts and put each part in
separate plastic bags for future use. How many kilos of pork does each
bag contain?

Answers

1. The quotient is 0.5.

2. She will use 0.7m long for each frame.

3. Each child received 0.71 Php.

4. Each son will receive 0.85 hectares.

5. Each bag contains 0,93 kilos.

1. What is the quotient if 24 is divided by 48?24 / 48 = X0.5 = X

2. Jean has 35 m of wire for hanging pictures. She wants to divide it into 50 pieces for her frames. How long will she use for each frame?35 / 50 = X0.7 = X

3. Father left Php5.00 for his 7 children. How much did each child receive?5/7 = X0.71 = X

4. Mang Ricky is a hardworking man who owns 6 hectares of land. In his will, he divided his lot equally among his 7 sons. How much land will each of his son receive?6/7 = X0.85 = X

5. Troy and Raffy went to the market to buy 15 kilos of meat. When they came home, they divided the meat into 16 parts and put each part in separate plastic bags for future use. How many kilos of pork does each bag contain?15/16 = X0,93 = X

Learn more about maths in https://brainly.com/question/25927059

Andrew is half his brother's age. Three years ago, the sum of their ages was 24. How old are they each now? Please answer Fast.

Answers

Answer:

Andrew 10 and his brother 20 years old

Step-by-step explanation:

three years ago

7 and 17  add up to 24

Hope this helps

1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

Answers

1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..

30 POINTS IF U CAN HELP PLEASE. in the figure below, a tangent and a secant are drawn to a circle from the exterior point E. Suppose that EG=13 and ED=26. Find CD

Answers

Answer:

19.5  = CD

Step-by-step explanation:

The square of the tangent = the the whole secant times the outside part of the secant.

EG²= (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

 6.5 + EC

Now  ED = EC + CD

         26 = 6.5 + CD

        26 - 6.5 = CD

           19.5  = CD

Ferris wheel makes 6 revolutions per ride. It
has a diameter of 45 feet. How far would someone
travel during one ride?

Answers

Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay

Please help me solve for n

Answers

To solve for N, you have to work backwards

1. Take off the absolute sigh

the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative

2. What is 1x6?

This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.

3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.

I hope this helped! If it's wrong blame me!

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!

Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40

Answers

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

how do you evaluate?

Answers

We evaluate an algebraic expression by the determination of an unknown variable.

Evaluation is a systematic method used in solving most algebraic expressions in mathematics.

Let assume that we have a given algebraic expression where y is expressed in terms of x and;

y = 2x + 5    where (x = 4)

Here, y and x are the variables;

y = 2(4) + 5

y = 8 + 5

y = 13

Learn more about how to evaluate algebraic expressions here:

https://brainly.com/question/4344214

PLS SOMEONE HELP I WILL GIVE U 28 POINT

Answers

Answer:

z=37

x=105

y=68?

Step-by-step explanation:

Leave a brainliest if this helped!

What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required

Answers

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

Find cos 2α; the angle α is in the fourth quadrant, and sin α = -0.45. Which double-angle identity should you use?


cos2α = 1 – 2〖sin〗^2α

sin(α)cos(α) - cos(α)sin(α)

sin(α)cos(α)

2sin(α)cos(α)

Answers

Answer:

it is the last one

Step-by-step explanation:

me big brain

Does anyone know this?
Blank #1____

Blank #2____

Blank #3____

Blank #4____

Answers

Answer:

12x2x8x

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

Write the slope-intercept form of the equation of the line.

Answers

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

What is the value of x? Leave your answer in simplest radical form.

Answers

Answer:

sqrt 52

Step-by-step explanation:

use the pythagorean thereom

side a - 4

side b - 6

to find the hypotenuse, simply square both sides.

4² + 6²

4 x 4 = 16

6 x 6 = 36

add these two together

you should get 52.

After finding the combined side length, find the inverse operation of squared.

The inverse operation is the square root.

So find the square root of 52.

√52 = 7.21110255

round to the nearest tenth.

the answer should be 7.2

But to keep it in radical form the answer is sqrt 52

Answer:

The value of x is 2√13.

Step-by-step explanation:

With the help of Pythagoras theorem, we will find the value of x.

=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:

Therefore, the value of x is 2√13.

Hoped this helped.

[tex]BrainiacUser1357[/tex]


What is the volume of a cube with sides of length 9m?

Answers

Answer:

V = 729 m³

General Formulas and Concepts:

Pre-Algebra

Evaluation

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = s³

V is volume (in units³)s is a side length

Step-by-step explanation:

Step 1: Define

Identify variables.

s = 9 m

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (9 m)³[Order of Operations] Evaluate:                                                                      V = 729 m³

The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32

Answers

is that two problems in one?

(-5, 10) (-5, 9) What is the slope?

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-10)/(-5-(-5))

m=-1/(-5+5)

m=-1/0

undefined

Since the slope is undefined, this is a vertical line.

Answer:

undefined

Step-by-step explanation:

Ok, we will use the formula:

[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]

The points (-5, 10) is our one, making -5 x1 and 10 y1

The points (-5, 9) is our two, making -5 x2 and 9 y2

now we add them into our formula

[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex]         = undefined

Hope this helps. Check with someone else to make sure. <3

In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?

a. Find the 100th term when the first term is -3 and the common difference is 4.
b. Find the 3rd term when the first term is 2 and the common difference is 5.
c. Find the 7th term when the first term is -1 and the common difference is 10.
d. Find the 5th term when the first term is 7 and the common difference is -2.

Answers

Answer:

Find the 100th term when the first term is -3 and the common difference is 4.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Find the 100th term when the first term is -3 and the common difference is 4. I took the test and got 100 percent.

help please?????????​

Answers

Answer:

A, to B, to D,

or A, to E, to C, to D

Step-by-step explanation:

Can you help me answer this question?
Increase £184 by 3%

Answers

Answer:

189.52

Step-by-step explanation:

184 x 0.03

5.52

184 + 5.52

189.52

Answer:

184*1.03 = £189.52

Step-by-step explanation:

A mosquito flies at a speed of 40.2 meters per minute.

At this rate, how many meters can it fly in 5 minutes?

PLZ HELP

Answers

Answer:

201

Step-by-step explanation:

40.2*5=201

201 meters per minute

Which equation choice could represent the graph shown below?

Answers

it has to be an equation that adds up to an exponent of 3
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