A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?

12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these

Answers

Answer 1

Answer:

12/sin5°

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(angle)*ladder=wall

ladder=wall/sin(angle)

Now the given values are used:

ladder=wall/sin(angle)

ladder=12ft/cos(51°)


Related Questions

Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction

Answers

Answer:

-1/64

Step-by-step explanation:

welcome

Answer:

A

Step-by-step explanation:

edg2020

sidawidnianddinhwidnaindianwdawdawd

Answers

Answer:

yes

Step-by-step explanation:

yes

Aggie is an australian exchange sudent in china, and she currenly has 14,000 yuan in her bank account. If the exchange rate changes from 1 australian dollar to 6.21 yuan to 1 australian dollar 6.37 chinese yuan, what happens to the value in australian dollars of the money in aggies bank account

Answers

Step-by-step explanation:

Amount in Aggie bank account = 14,000 yuan

Initial exchange rate:

1 Australian dollar = 6.21 yuan

Initial amount in Australian dollars will be;

x aus dollar = 14,000 yuan

cross multiply

6.21x = 14,000

x = 14,000/6.21

x =  2,254.428 australian dollars

If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;

1 Australian dollar = 6.37 yuan

y Australian dollar = 14,000 yuan

cross multiply

6.37y = 14,000

x = 14,000/6.37

y = 2,197.80 Australian dollars

The change in her account balance due to increase in exchange rate is y-x

y-x = 2,197.80 - 2,254.428

y-x = -56.626 aus dollars

This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.

the population germay is about how many times the population of martinique explain your reasonging

Answers

Answer:

Germany: 8.27*10^7. Martinique: 4.05*10^5.

-3z-1=1-7z simplify​

Answers

Answer:

z = 1/2

Step-by-step explanation:

Step 1: Write equation

-3z - 1 = 1 - 7z

Step 2: Solve for x

Add 7z to both sides: 4z - 1 = 1Add 1 to both sides: 4z = 2Divide both sides 4: z = 1/2

Step 3: Check

Plug in z to verify it's a solution.

-3(1/2) - 1 = 1 - 7(1/2)

-3/2 - 1 = 1 - 7/2

-5/2 = -5/2

Given: AE = BD; CD = CE

Prove AC = BC

Answers

Step-by-step explanation:

Funny question!

AE=BD

A= BD/E

Then,

CD=CE

D=E

therefore, A=BE/E (SINCE, D=E)

So, A=B

or, AC= BC (multiplying by C)

Find both of them plzzzzz

Answers

Answer:

supplement angle : 107

complement angle : 17

Step-by-step explanation:

supplement :

180 - 73 = 107

complement :

90 - 73 = 17

Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11

Answers

Step-by-step explanation:

v=kg

36=k×4

k=36/4

k=9

v=9×11

v=99

V= 99

36/4= v/11
9=v/11
Multiply both sides by 11 to get rid of /11
99=v

suppose three Riders rode a total of 260 Mi if they use a total of 18 horses and rode each horse to the same number of miles how many miles did they ride before replacing the horse​

Answers

Answer:

14.3 - Not entirely sure?

Step-by-step explanation:

So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3

for a fifth order polynomial, if x=a+bi is a root, and x=c+di is a root, how many real roots are there?
A. 1
B. 2
C. 5
D. 3

Answers

1 roots are real.

If x=a+bi is a root then so is x=a-bi and if x=c+di is a root then so is x=c-di and all of those have imaginary numbers so they are not real therefore, there is only one real root.

Which number is IRRATIONAL?
A)
16
B)
25
C)
48
D)
100

Answers

Answer:

E

Step-by-step explanation:

B) for sure djdjdjdjdjdjdj

Factor the expression using the GCF 48+80
Please Help.

Answers

Answer:

Then common factor is 16

Step-by-step explanation:

The factored expression is equivalent to -

8(6 + 10)

What is Greatest Common Factor?

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given is to factor the given expression using the greatest common factor A = 48 + 80

For -

48 = 2 x 2 x 2 x 2 x 3

80 = 2 x 2 x 2 x 5

Using the greatest common factor, we can write -

48 + 80

8(6 + 10)

Therefore, the factored expression is equivalent to -

8(6 + 10)

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

which property explains why these two expressions are equal ? -5(x-4)=-5x+20)​

Answers

Answer:

distributive property of multiplication

Step-by-step explanation:

Given

Expression -5(x-4)= -5x+20

It is demonstrating the distributive property of multiplication

a(b + c) = ab + ac

Here are ten numbers 3, 7, 2, 4, 7, 5, 7, 1, 8, 8, what is the mode, median, range and mean

Answers

3,7,2,4,7,5,7,1,8,8

Step-by-step explanation:

The median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.

Answer:

Mode = 7

Median = 6

Range = 7

Mean = 5.2

Required
1. Gabby won 70 super bouncy balls playing basketball at the county fair. At school she gave one
to every student in her math class. She only has 51 remaining. How many did she give away?

Answers

Answer:

19

Step-by-step explanation:

70 - 51 = 19

To check:

19 + 51 = 70

Given and Prove Information
Given: PR = QS
Prove: PQ = RS
Diagram
Proof
Statements
1.PR = QS
2.
3.
4.
5.
6.
7.
Reasons
1. Given
2.
3.
4.
5.
6.
7.
5. What is Statement :
Your answer
6. What is Reason
Your answer
- What is Statement ?
Your answer

Answers

Answer:

I hope this helps you

Step-by-step explanation:

The answer is A

Answer:

I agree the answer is A

Step-by-step explanation:

A = A

A != B

AA = 2A

A = A

Order these numbers from largest at the top, to smallest at the bottom.

1.57x10^-4
4.5x10^3
1.3x10^1
987

Answers

Step-by-step explanation:

Question:-

Order these numbers from largest at the top, to smallest at the bottom.

1.57x10^-4

4.5x10^3

1.3x10^1

987

We can see that:-

The exponent with highest power is the largest number.

Here, the largest number is

[tex]1.3 \times 10 ^3[/tex]

Next, is [tex]987[/tex]

Smaller than this, next is :-

[tex]1.3 \times 10^1[/tex]

A number with negative power is smaller.

So, last is

[tex]1.57 \times 10^{-4}[/tex]

Hope it helps :)

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

Answers

Answer:

17%

Step-by-step explanation:

$30-100%

$35-x%

x%=35*100/30

x%=116.6%

116.6%-100%=16.6%~17%

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help

Answers

Answer:

[tex]121=6w[/tex]

Step-by-step explanation:

Formula for perimeter of a rectangle:

[tex]P=2l+2w[/tex]

[tex]w[/tex] = width

[tex]l[/tex] = length

Since the length is twice the width,

[tex]l=2w[/tex].

So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,

[tex]121 = 2(2w)+2w[/tex]

And after some simplification, we are left with,

[tex]121 = 6w[/tex]

Pls help im in the test i’ll give 50 points

Answers

Answer:

I think it's A

Step-by-step explanation:

the point is touches the y axis is 2

Three times the sum of twice n and 6 is the same as the product of four and n less 2. Find n

Answers

Answer:

n=12

Step-by-step explanation:

how can u
Simplify negative 9 over 6 divided by 3 over negative 2. .

Answers

Answer:

negative 3 over 2 divided by 3 over negative 2.

explanation:

negative 9 over 6 simplified is:

3:2 as a ratio which is negative 3 over 2.

HELP!! 30 POINTS!

The figure has ____ line(s) of symmetry

Answers

Answer: 2 Lines of Symmetry

Step-by-step explanation: Split it into 2 halves = 2 Lines of Stmmetry

Answer:

The figure has two line(s) of symmetry.

What is an equation of the line that passes through the point (-2,3) and is
parallel to the line for 4x- y = 1?

Answers

4x-y=-11. Download Desmos

A school nurse can give 25 eyes test in a two-hour period. How long will it atke the nurse to give eye test to all 600 student sin her school?

Answers

Answer:

96 hours

Step-by-step explanation:

25 eyes - 2 hours

1200 eyes* - x hours

[tex]x = \frac{2 \times 1200}{25} [/tex]

[tex]x = 96[/tex]

*each student has 2 eyes. So 600 students have 600×2=1200 eyes.

It will take the nurse 48 hours to give eye tests to all 600 students in her school.

What is Expression?

An expression is combination of variables, numbers and operators.

If the nurse can give 25 eye tests in two hours, then she can give 12.5 tests in one hour (since 25 divided by 2 equals 12.5).

To give eye tests to all 600 students, the nurse will need to give 600 tests in total.

Using the rate of 12.5 tests per hour, we can set up a proportion:

12.5 tests / 1 hour = 600 tests / x hours

Apply Cross-multiplication

12.5 tests ×  x hours = 600 tests

Divide both sides by 12.5 tests

we get,  x hours = 600 tests / 12.5 tests per hour

x hours = 48 hours

Therefore, it will take the nurse 48 hours to give eye tests to all 600 students in her school.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7

Solve the equation (leave your answer as an improper fraction)

x-2/3=-2

Answers

x = -2 + 2/3
= -6/3 + 2/3
= -4/3

Answer:

x = -2 + 2/3

= -6/3 + 2/3

= -4/3

13. Find g(f(5)) if g(x) = 2x - 7 and F(x) = -4x - 7

Answers

Answer:

g(f(5)) = - 61

Step-by-step explanation:

Evaluate f(5) then substitute the value obtained into g(x) , that is

f(5) = - 4(5) - 7 = - 20 - 7 = - 27 , then

g(- 27) = 2(- 27) - 7 = - 54 - 7 = - 61

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.
Which pair of angles is supplementary?

∠RXZ and ∠YXZ
∠PXQ and ∠RXS
∠YZX and ∠UZT
∠WZX and ∠XYZ

Answers

Answer:

The answer is A

Step-by-step explanation:

<RXZ AND <YXZ

Answer:

its a

Step-by-step explanation:

What is the solution to the following system of equations y=2x-4 Y=x

Answers

Answer: (4,4)

Step-by-step explanation:

Hope this helps

What is 51/5*(-5) ?​

Answers

The answer would be -51
Other Questions
cual es el propsito principal del anuncio if it takes seyi twenty minutes to boil an egg, how long will it take ala who is three years older than seyi to boil four eggs? Carly wants to be able to look at a document without having to use the horizontal scroll bar located on the bottom of the screen. Rhianna wants to be able to look at an image on her document closely. Which most likely describes how each person would set their page?Carly will set the page to Page Width, and Rhianna would zoom to 150%.Carly will zoom to 150%, and Rhianna would set the page to Page Width.Carly will set the page to Page Width, and Rhianna would zoom to 15%.Carly will zoom to 15%, and Rhianna would set the page to Page Width. What is the first step that should be performed to find the value of this expression?180 (30 + 15) 6 1 A. Divide 180 30. B. Add 30 + 15. C. Multiply 15 6. D. Subtract 6 1.Im being timed pls answer fast! 3. Which of the given equations are not linear? How are these equationsdiffer from linear equations? I the Lord am your God You shall have no other gods besides Me."Which ancient river civilization would believe in this quote? A wooden log has to be carried by two people. If one of them is strong and another is weak, how will they carry the log? Show with a diagram and also give reason. 10) Use the equation x2 + 8x = 9 to answer the following questions (1 point for each part, 2 points total). .a. What number should be added to both sides of the equation to complete the square?b. Solve for x by completing the square. Class description: A MyString class should behave much like the c++ string class. The class should use a dynamically allocated char array to hold a character string. If the amount of memory allocated to the array is too small to complete some necessary task (e.g., assigning a new character string to the object) the object should automatically double its capacity until it is large enough to complete the task. If it's discovered that the object is using less than 25% of its capacity the object should shrink to half its capacity until it is using more that 25% of its capacity.Assignment: Implement the MyString class using a header and implementation file named MyString.h and MyString.cpp respectively. Even though MyString.h will be provided on the upload site, create own version for testing code locally. Make sure to properly test code on by creating a test driver that fully tests every function created in the MyString classMemory Requirements: MyString should start with 10 bytes of allocated memory and should grow in size by doubling. So, we should be able to predict the capacity of MyString as acquiring a patten of 10, 20, 40, 80, bytes of memory depending of the number of characters stored.Attributes:int size the number of characters currently stored in the string object. Do NOT count the NULL character.int capacity the number of bytes currently allocated. This should always be at least size + 1. The extra byte is needed to store the NULL character.char *data character pointer that points to an array of characters.Member Functions:MyString( ) ConstructorMyString(const char *) Constructor with an initialization character string~MyString( ) DestructorMyString(const MyString &) Copy constructorMyString& operator = (const MyString&) Overloaded assignment operator, make a copy of MyString objectbool operator == (const MyString&) const overloaded equivalence relational operatorchar& operator [ ] (int) overloaded [ ] should return a char by referencevoid operator += (const MyString&) overloaded += operator, use to concatenate two MyStringsMyString operator + (const MyString&) const Create a new MyString object that is the concatenation of two MyString objectsvoid getline(istream&, char delimit = \n); reads an entire line from a istream. Lines are terminated with delimit which is newline \n by defaultint length( ) const; return the length of the stringfriend ostream& operator What conditions lead to high prices of a product?Group of answer choicesA low supply and a high demand for a productA high supply and a high demand for a productA high supply and a low demand for a productA higher quantity of so many products in the city. who wants a brainist whats the how do you convert ratios What came out of the door, the lady or the tiger? Create a resolution to Stocktons story, since he deliberately left out that element of story structure. In an essay of 100 words or more. please help me if you can thank you Select the correct answer. What is the best example of the central idea of the passage? OA. Swimming is good for overall health. . Swimming is a good for young people only. OC. To relieve joint pain, swimming is the best treatment option. OD. To improve muscle strength, swimming is the best exercise. Which statement about understanding the meaning of a poem is true?A. There is only one interpretation of a poems meaning.B. The meaning of a poem could be anything.C. It may take several readings to understand a poems meaning.D. A poems meaning becomes clear in the first reading. Help me please......... A net force F accelerates a mass 'm' with an acceleration 'a'. what acceleration results if force 13F acts on mass 15m in terms of 'a' find the median value of 1,1,1,2,2,2,2,3,3,4,4,5 okay plz help ill give brainly thing (IN GERMAN) how do I say "I like to listen to music, play tennis and play video games" A process that may return carbon tothe soil isA. "locking" carbon.B. decomposition.C. respiration.