MATHEMATICS HIGH SCHOOL

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet.

Answers

Answer 1
Answer:

The length of the ladder leaning against the wall is 13 feet.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides(base and opposite) of a right-angle triangle is equal to the square of the largest(hypotenuse) side.

Given, that the distance from the bottom of the ladder to the building is 5 feet which is the base.

Assuming the length of the ladder(hypotenuse) is x feet, therefore the distance of the opposite side or the distance from the ground to the top of the ladder is (x - 1) feet.

∴ x² = (x - 1)² + 5².

x² = x² - 2x + 1 + 25.

2x = 26.

x = 13.

So, the length of the ladder is 13 feet and the height or the opposite side of the ladder is 12 feet.

learn more about Pythagoras's theorem here :

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Answer 2
Answer: Find the length of the ladder if the distance from the bottom of the ladder to the building is 9 feet.

Related Questions

HIGH SCHOOL

Find the nth term of this sequence 3 13 23 33 43

Answers

The answer to a) is... 10n -7 

Try it! The fifth number is 43... so n=5 

Based on my answer (n x 10)-7... and n=5... (5 x 10) - 7... 50 - 7 = 43... so this is correct! 

**************************************... 

The answer to b) is 7n +1 

E.g. 8 is the first number so n = 1 

(1 x 7) + 1 = 7 + 1 = 8 

15 is the second number so n = 2 

(2 x 7) + 1 = 14 + 1 = 15 

**************************************... 

The answer to c) is 4n - 14 

E.g. -10 is the first number so n = 1 

(4 x 1) -14 = 4 - 14 = -10 

-6 is the second number so n = 2 

(4 x 2) -14 = 8 - 14 = -6 
10n-7 is the nth term :)
HIGH SCHOOL

Tickets to the school musical are $5.00 for adults and $3.50 for students. If the total value of the tickets sold was $2517.50 and 100 more students bought tickets than adults, how many adults and students bought tickets?

Answers

To answer this, you will write and equation in terms of the number of adult tickets sold and then solve for a, the number of adult tickets.

$5a + $3.50s = $2517.50
$5a + $3.50(a + 100) = $2517.50
5a + 3.50a + 350 = 2517.50
         8.50a  -350      -350
                  8.5a  = 2167.50
                  8.5         8.5
    a = 255
The number of adult tickets sold was 255, and the number of student tickets sold was 355 (255 +100).


HIGH SCHOOL

"A company is deciding whether or not to hire a new worker. The company must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y = 8x + 25, where x is hours. What is the y-intercept, and what does it represent?

8; it represents the hourly wage for the worker

8; it represents the cost for insurance

25; it represents the cost for insurance

25; it represents the hourly wage for the worker"

Answers

The answer is the third option "25; it represents the cost for insurance." x represents hours. So, x represents hours, 8 represents the number of hours the worker worked, 25 represents the amount of car insurance for daily cost. By reading the question thoroughly and looking for key words in the question you can find answering these questions rather easy.

Hope this helps!

Y = 8x + 25

The y int (25) represents the cost for insurance
MIDDLE SCHOOL

Augusta sells t-shirts at the school store. On Tuesday, Augusta sold 7 less than twice the number of t-shirts she sold on Monday. She sold 3 t-shirts on Tuesday. Write an algebraic equation to represent m, the number of t-shirts August sold on Monday.

Answers

Since it is true that 9=9, the answer x=2 works.

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation.

Here are the properties of equality you need to isolate terms and solve equations.

The Subtraction Property of Equality is used when you have an equation with addition in it. It states that you can subtract the same quantity from both sides of the equation without changing the equality.

The Addition Property of Equality is used when you have an equation with subtraction in it. It states that you can add the same quantity to both sides of the equation without changing the equality.

The Division Property of Equality is used when you have an equation with a variable multiplied by a number. It states that you can divide both sides of an equation by the same quantity (as long as that quantity is not equal to zero) without changing the equality.

The Multiplication Property of Equality is used when you have an equation with a variable divided by a number. It states that you can multiply both sides of an equation by the same quantity without changing the equality.

Let’s look at an example and use properties of equality to isolate the variable and solve the equation.

Mark me as brainliest anser


HIGH SCHOOL

Select all that apply. Polygons must have which of the following characteristics to be considered similar? A 1:1 correspondence in vertices Corresponding angles are equal. Both polygons are the same shape Corresponding sides are proportional. Both polygons are the same size.

Answers

All but the last option.

Answer:

A, B, C, and D are the answers :)

Step-by-step explanation:

HIGH SCHOOL

In the spinner below the large wedges are twice the size of the smaller ones. What is true about the probablilty of landing on 6 and the probability of landing on 5

Answers

Answer:

we need an image of the spinner to answer the question. are we supposed to just know what it looks like?

Step-by-step explanation:

flvs she cheating

MIDDLE SCHOOL

What is the value of i20+1?

Answers

Answer:

- I^20+1 i= /2 i^2= -1 i^3= -i i^4= 1 for every four it repeat itself. 4, 8, 12, 16, 20. therefore i^20=1 1+1=2.

MIDDLE SCHOOL

A total of 396 tickets were sold for the school play. They were either adult ticket sor student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold

Answers

Answer:

The answer would be 97 adult tickets.  

Step-by-step explanation:

Number of adult tickets sold = x  

Number of student tickets sold = 3x

(example: 3 times the number of adult tickets sold)  

total tickets sold = 3x +x = 4x = 388(given)  

=> x = 388/4 = 97

MIDDLE SCHOOL

Which of the following is not always true? corresponding angles in similar triangles are congruent.

corresponding sides in similar triangles are congruent.

corresponding angles in similar triangles are proportional.

corresponding sides in similar triangles are proportional.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

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