A building is 1 ft from a 12-ft fence that surrounds the property. A worker wants to wash a window in the building 1515 ft from the ground.ground. He plans to place a ladder over the fence so it rsts against the building. (See the figure.) He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Answers

Answer 1

Final answer:

Using the Pythagorean Theorem for the given right triangle, we calculated that the worker would need a ladder of at least 25 feet in length to reach the window.

Explanation:

The problem described can be solved by using the Pythagorean Theorem, which is appropriate for any right triangle. In the given problem, we have a right triangle - one side is the distance from the fence to where the ladder touches the building (12ft + 1ft + 9ft = 22ft), the other side is the height of the window from the ground (15ft), and the hypotenuse is the length of the ladder we need to find.

According to the Pythagorean theorem: [tex]A^2 + B^2 = C^2[/tex]. If we plug in our values, it would look like [tex]15^2 + 22^2 = C^2[/tex]. After carrying out the operations, we find that C^2 = 625.

To find the length of the ladder (C), we take the square root of 625, which is 25ft. So, the worker needs a ladder that is at least 25 feet long.

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Related Questions

Select the next two terms in the pattern. 243, 81, 27, 9, . . .

Answers

3 and 1 because it is dividing by 3 each time

We are dividing the previous term by 3 in this pattern. Thus, the next term would be 3, and the term after that would be 1.

If i have two similar parallelograms that have areas of 18in squared and 32in squared . how do i find the ratio ?

Answers

by dividing both of them

You will have to divide.

______ numbers can be written as a product of _______ factors.This called the prime factorization of a number.

Answers

The fist blank is Compasit and the 2nd is prime

PLEASE HELP GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)

Word Bank:
ASA
SAS
BC=EF
BC=ED
Given
CPCTC
BC = EF

Answers

Short Answers:

Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC

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

Explanations:

Part A:

AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.

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

Part B:

The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"

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

Part C:

We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.

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

Part D:

For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.

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

Part E:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.

Find a degree 3 polynomial having zeros -3, 3 and 7 and the coefficient of x^3 equal 1.

Answers

JJJ I’d Neuhaus irk krm jr

!!30 PTS!!

if it is 10 pm in Oregon where is it that it is 1 pm?
I am trying to convert time but, I am not THAT good at it

Answers

Do you mean 1 am? Because in Ohio it'd be 1 am, not 1 pm tho.

Please someone help! Algebra 1

Answers

1.) 2/9 (explanation: the square root squares both the denominator and the numerator if it is a perfect square)

2.) 2 (the fraction 0.8/0.2 simplifies to 4 which is them square rooted)

3.)0.6

4.)-7

5.) 11i (i stands for the square root of -1 since it is imaginary. Squares of numbers are imaginary when the number under the radical is negative since a real number squared can never be negative )

What is the fifth term of the sequence defined by
f(n)=3(n−3)

Answers

The answer is 6 since to get the fifth term in the sequence, you replace n with 5 and you get 3(5-3). You subtract 5 by 3 and get 2. Then you multiply all of it by 3 and get 6 as the final answer.

Maddie has 2 times as many stickers on her notebook as meg. together they have 15 stickers. how many stickers are on maddie's notebook?

Answers

Maddie has 10 stickers.

Maddie had 10 stickers

What decimal can be added to 0.0545454 To get 0.1545454

Answers

0.1005454 + 0.0545454 = 0.1545454

Final answer:

The decimal that needs to be added to 0.0545454 to get 0.1545454 is 0.1. This was determined by subtracting 0.0545454 from 0.1545454.

Explanation:

The student asked: What decimal can be added to 0.0545454 to get 0.1545454? The solution requires simple subtraction. You need to subtract the given number (0.0545454) from the result you want to achieve (0.1545454). So the calculation is as follows:

0.1545454 - 0.0545454 = 0.1000000

Therefore, the decimal that needs to be added to 0.0545454 to result in 0.1545454 is 0.1.

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Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?

n = 35 • 0.63; 22.05

n = 0.35 • 63; 22.05

n = 35 • 63; 2,205

n • 0.35 = 63; 180

Answers

The second one. Do the math. .35 x 63 = 22.05

Answer:

n = 0.35 • 63 = 22.05

Step-by-step explanation:

To find the 35% of 63, we first should transform the percentage in a fraction, and then operate.

SO, we know that

[tex]35\%=\frac{35}{100}[/tex]

Multiplying this with 63, we have:

[tex]n=\frac{35}{100}63=0.35(63)=22.05[/tex]

Therefore the right answer is the second choice.

Negative 15 divided by 3/5

Answers

-25 is your answer to the question

3.5kg:800g in simplest ratio

Answers

3.5 kg: 800g
=3.5*1000 g: 800 g
=35/8

What is the perpendicular line slope of -2x-9y=4

Answers

The perpendicular slope of the original equation,[tex]-2x-9y=4[/tex], is the negative reciprocal (flip the numerator and denominator).

But first we need to put it in y=mx+b form...

[tex]-2x-9y=4[/tex] Equation

[tex]-9y=2x+4[/tex] Add 2x to both sides

[tex]y= -\frac{2}{9}x- \frac{4}{9} [/tex] Standard format

Since now we know that the slope is [tex]-\frac{2}{9} [/tex], the perpendicular slope is [tex] \frac{9}{2} [/tex]

Simplify the following expression 12 1/2 + (-25)

Answers

The answer for this question is: -12 1/2

I need Help on this one guys

Answers

48-12*2=x tsp
solve for x using order of operations

12*2=24
48-24=24
24 tsp of vanilla remains.

Andy has 310 in his account. Each week w he withdraws 30 for his expences which expression could be used if he wanted to find out how much money he had left after 8 weeks?

Answers

310-30x=y
310-30(8)=y
310-240=y
$60=y

True ir false: multiplying 7x43, a reasonable estimate of the product is 280? Why?

Answers

No because 280 is 21 numbers away from 301

Final answer:

Multiplying 7 by 43 gives an exact result of 301. Thus, estimating this product as 280 isn't entirely accurate but might be seen as a reasonable approximation in certain contexts.

Explanation:

The statement 'multiplying 7 by 43, a reasonable estimate of the product is 280' is known as the question. For this multiplication equation, 7 x 43, the accurate result is 301. Therefore, estimating the product as 280 is not fully correct, however it is relatively close and might be considered a reasonable approximation depending on the context. For a stronger approximation, the product could be rounded up to 300.

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Which expression is equivalent to-8+7.25-6+0.5

Answers

Final answer:

The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.

Explanation:

To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.

First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.

The equivalent expression is hence -6.25.

the art teacher asks her students to cut out apples from construction paper five apples can be cut from each sheet of paper. if she needs 1045 apples how many sheets of paper does she need? write an equation to find the unknown then find the unknown

Answers

1045 divided by 5=209

Jones middle school has 850 students and gets 5 new students per month. Roberts Middle School has 985 students and 10 students withdrawal each month. After how many months will Jones Middle School have students than Roberts Middle School

Answers

5x + 850 = -10x + 985
+10x = +10x
______________
15x+850 = 985
-850 = -850
______________
15x=135
/15= /15
__________
x=9

It will take 9 months

Final answer:

Jones Middle School will have more students than Roberts Middle School after 9 months.

Explanation:

To find out after how many months Jones Middle School will have more students than Roberts Middle School, we need to determine the point at which the number of students at Jones Middle School exceeds the number of students at Roberts Middle School. Let's calculate the number of months it takes for this to happen:

Number of students at Jones Middle School = 850 + 5n (n represents the number of months)

Number of students at Roberts Middle School = 985 - 10n (n represents the number of months)

We need to find the value of n when the number of students at Jones Middle School is greater than the number of students at Roberts Middle School:

850 + 5n > 985 - 10n

Simplifying the inequality:

15n > 135

n > 9

Therefore, after 9 months, Jones Middle School will have more students than Roberts Middle School.

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what is -9/10 • -2/3 ?

Answers

Multiplying two fractions together corresponds to multiplying together their components, so multiplying -9/10 · -2/3 looks like:

[tex] \frac{-9}{10} \cdot \frac{-2}{3}= \frac{(-9)(-2)}{(10)(3)} [/tex]

If we rearrange the fractions, we can perform some simplification:

[tex] \frac{(-9)(-2)}{(3)(10)} = \frac{-9}{3} \cdot \frac{-2}{10} =-3\cdot \frac{-1}{5} [/tex]

When gets us:

[tex] \frac{(-3)(-1)}{5}= \frac{3}{5} [/tex]

while alex was surfing he rose 36 feet above the water as he rode a wave. within seconds he fell 48 feet where he hit the ocean floor. how deep was the ocean where alex was surfing?

Answers

12 ft, I think. Because he rose 36 above the water

and so it's 36 - 48, which equals -12.
And it's absolute value, so the answer is 12.

The ocean where Alex was surfing will be 12 feet deep.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Alex was surfing he rose 36 feet above the water as he rode a wave. within seconds he fell 48 feet where he hit the ocean floor.

The position of Alex will be:-

Deepness = 336 - 48

Deepness = -12 feet

| Deepness | = |-12| feet = 12 feet

Therefore, the ocean, where Alex was surfing, will be 12 feet deep.

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Francisco spent 25 minutes on the internet yesterday is this is 5/6 of the time she spent on the computer how long did she spend on the computer but not on the internet

Answers

30 minutes. the easiest way is to use the opposite of the fraction. divide 25 / 5= 5. now multiply by 6. 5*6= 30.

Write the prime factorization of 216 in exponencial from.

Answers

the prime factorization is 2^3*3^3

For the function f(x)=-5x witch ordered park will be a point on the graph

Answers

HI not sure but I think it is the third one

A radio station had 155 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

Answers

4(employees) = listeners
listeners + employees = 155
plug the first equation into the second, substituting 4(employees) for listeners, so
4(employees) + employees = 155.
5(employees) = 155
employees = 31

Your heart beats 240 times in 4 minutes what is your heart rate in beats per second

Answers

240÷4=60
60÷60=1
answer: 1

1. 7 2/3 + 2 7/12

2. 3/8 x 5/6

3. 4 1/2 x 1 2/3

4. 20 divided by 3 1/2

5. 13 5/9 - 8 1/6

6. 3/4 divided by 7/10

7. 8 1/3 divided by 3 3/4

8. 1 3/5 x 2 5/16

9. 6 1/2 - 1 9/10

10. 2/5 of 40

11. 2 5/8 x 4/7 x 12

12. 4 2/3 divided by 10

Answers please!

Answers

It's just not realistic to present a list of 12 math questions and ask for the answers to all of them at once. Please post only one question at a time and please share your thoughts about how to solve that question.

I'll focus on one problem: 7 2/3 + 2 7/12

Here the LCD (lowest common denominator) is 12. 7 2/3 becomes 7 8/12.

Add 7 8/12 and 2 7/12:

7 8/12
+2 7/12
-----------
9 15/12 15/12 is not a proper fraction. Write it as 1 3/12, or 1 1/4.

Then your 9 15/12 becomes (9+1) 1/4, or 10 1/4.

The expressions given above are solved.

What is system of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given are the expressions as given in the question.

{ 1 } -

7 2/3 + 2 7/12

23/3 + 31/12

92/12 + 31/12

123/12

{ 2 } -

3/8 x 5/6

15/48

5/16

{ 3 } -

4 1/2 x 1 2/3

9/2 x 5/3

3/2 x 5

15/2

{ 4 } -

20 ÷ 3 1/2

20 ÷ 7/2

20 × 2/7

40/7

{ 5 } -

13 5/9 - 8 1/6

122/9 - 49/6

244/18 - 147/18

97/18

Similarly the remaining parts can be solved.

Therefore, the expressions given above are solved.

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If (5^4)^m = 5^12, what is the value of m?

Answer Choices:
A:2
B:3
C:5
D:8

Answers

(5^4)^m = 5^12
(5^4)^m = (5^4)^3
m = 3

answer
B:3

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