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

could some one answer this

Answers

Answer:

12

Step-by-step explanation:

So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.

-> TIPS: 4x 1,50= 6 (dollars)

-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)

-> 1 SALAD: 48/4=12

-----------linear equation:-------------

54 = 4 x 1,5 + 4 x c

54 = 6 + 4c

48 = 4c

12 = c

BRAINLIEST
Do one of the above and show your work

Answers

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

The sum of three times a number and 5 is 32

Answers

Let the number be x.Therefore, by the problem3x + 5 = 32or, 3x = 32 - 5or, 3x = 27or, x = 27 ÷ 3or, x = 9

Answer:

The number is 9.

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

Let the no. be x.

[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]

What is the value of -2

Answers

Answer:

11

Step-by-step explanation:

-2 lies in the second range that begins with -2 and ends with 8

A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?

Answers

Answer:

The answer is 72%

Step-by-step explanation:

54 out of 75 is a percentage of 72%.

[tex]\frac{54}{75} = 72[/tex]

Mark me brainliest if possible, it's always appreciated!

Hope this helps!

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

4x + 7 = 6x + 4. what is this answer step by step?

Answers

[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]

Answer:

x= 3/2

Step-by-step explanation:

4x+7=6x+4

Step 1: Subtract 6x from both sides.

4x+7−6x=6x+4−6x

−2x+7=4

Step 2: Subtract 7 from both sides.

−2x+7−7=4−7

−2x=−3

Step 3: Divide both sides by -2.

-2x=-3

-2    -2

=

3/2

Pls help right answer gets brainliest

Answers

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

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

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

select the two values of x that are roots of this equation 2x^2-11x+15=0

Answers

X=5/2 and 3. Factor the equation find numbers that will sum up too -11 involving the coefficient of 2, and that multiply into 15. 2x too the power of 2 -11x +15=0 (2x-5)(x-3) =0

Convert this improper fraction to a Mixed Number 40/10 plz i need help

Answers

Answer:

4

Step-by-step explanation:

How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.

It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

Answers

For a;

[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]

For b;

[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]

If my calculations are incorrect, then sorry ;/

- ❤ 7272033Alt ❤

Solve for x help me please****

Answers

Answer:

2x-10=x

take -10 to the other side it becomes +10

take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10

need help asap plz help me

Answers

Answer:

idek not gonna lie

Step-by-step explanation:

Answer:

The first one is A) 4 The second on is D) 65

Step-by-step explanation:

You divide the first number by the second number eg. 12 divided by 3=4. so 4.

You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.

1. If the spinner below is spun once, find the
probability of a number less than 10

Answers

Answer:

5% chance

Step-by-step explanation:

I need a fast answer because I’m about to get on a plane

Answers

Answer:

C

Step-by-step explanation:

-6 is less than 7

Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?

Answers

Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

D = √25

D = 5 units

−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK

Answers

Answer:

[tex]x \leqslant \frac{ - 17}{6} [/tex]

There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?

Answers

approximately 43836 (rounded) people visit per day

How i can answer this question?

Answers

It isn’t asking you to answer the question, all you need to do is simplify it

This is something called collecting like terms, for example, we’d combined both of the r terms

4r - r = 3r

And combine both of the constant terms

14 - 6 = 8


The final expression will be 3r + 6

Answer: 3r+8

Step-by-step explanation:

4r-r=3r

and 14-6=8

therefore it would be 3r+8

What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10

Answers

Answer:

3.98 x 10^7

Step-by-step explanation:

Answer:

3.98 x 10⁷

Review:

What is scientific notation: It is a number that is between 1-10 and is written in exponents.

Instruction:

We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.

Solution:

=> 39,800,000 = 398 x 10⁵

This is still not in scientific notation form because it is not between 1-10. Let's simplify further.

=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷

This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.

Conclusion:

Therefore, 3.98 x 10⁷ is the number in scientific notation.

[tex]BrainiacUser1357[/tex]

Find DY if PY= 6
and DP= 10.

Answers

The relationship between sides DY, PY and DP is that they form a right-angled triangle.

The value of side length DY is 8 units

Side length DY can be calculated using the following Pythagoras theorem.

So, we have:

[tex]DP^2 =DY^2 + PY^2[/tex]

Substitute values for DP, DY and PY

[tex]10^2 =DY^2 + 6^2[/tex]

Evaluate the squares

[tex]100 =DY^2 + 36[/tex]

Subtract 36 from both sides

[tex]64 =DY^2[/tex]

Take square roots of both sides

[tex]8 =DY[/tex]

Rewrite as:

[tex]DY = 8[/tex]

Hence, the value of side length DY is 8 units

Read more about Pythagoras theorems at:

https://brainly.com/question/654982

x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?

Answers

Answer:

The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...

Step-by-step explanation:

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.

Answers

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

X- 7y = -21 2x -14y =-42

Solve by substitution.

Answers

This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best

the given system of equations has no Solution.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

X- 7y = -21......(1)

2x -14y =-42.....(2)

From equation 1

x = -21 + 7y

Substitute the value in equation 2

2(-21 + 7y) -14y-14y = -42

Since the given equation are same

Therefore, given equations have no Solution.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ2

6.True or False.
A numeral, such as 22 is called a constant.

Answers

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

Answer:

te voy a devolver el susto me diste 9 veces peor

Step-by-step explanation:

hat equation represents this sentence?


7 less than a number is 16.



7−n=16


n−7=16


7=16−n

like you cut g

7=n−16

Answers

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

23.15 – [ 115 + ( 12 - 25)]

Answers

Answer:

-78.85

Step-by-step explanation:

Using Order of Operations (PEDMAS):

23.15 – [ 115 + ( 12 - 25)]

= 23.15 – [ 115 + (-13)]

= 23.15 – [ 115 - 13]

= 23.15 -  102

= -78.85

700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?

Plz. Helppp me what the answer???

Answers

700=100%
700/10=70
70=10%
70x2=140
140=20% :))

I need help plz
12
10
8
12.5

Answers

Answer:

8

Step-by-step explanation:

Which of the following are involved in graphs of linear equations.

* Intercepts

* The graph is a curve

* The graph is the solution set.

* Slope

* The equation usually has a squared variable

Answers

Answer:

Step-by-step explanation:

* Intercepts  YES  The point where the line crosses the y axis (the value of y when x=0)

* The graph is a curve No.  It would not be a linear equation.

* The graph is the solution set. Yes.

* Slope  Yes

* The equation usually has a squared variable No

55) Carl spent 25% of his money for some presents. What percent
did he have left?

Answers

Answer:

75%

Step-by-step explanation:

In total it was 100%, but he spent 25%.

100% - 25%=75%

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