The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building?

Answers

Answer 1
Using trigonometry you use cosine and get a final answer of 13.067 ft tall
Answer 2

The height of the wall of the building is 13.067 feet.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-

Applying the Pythagorean theorem to calculate the height of the building.

H² = P² + B²

14² = P² + 5²

P² = 14² - 5²

P = √171 = 13.07 feet

Therefore, the height of the wall of the building is 13.067 feet.

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Related Questions

what is 15-10c=13 worked out

Answers

Answer:

[tex]15 - 10c = 13 \\ 10c = 15 - 13 \\ 10c = 2 \\ c = \frac{2}{10} \\ c = \frac{1}{5} [/tex]

Write an inequality represented by the graph

Answers

Answer:

x+y>=3

Step-by-step explanation:

values of x and y are all greater than or equal to 3

3[-2(8-13)] how to solve it

Answers

Answer:

3 times - 2,times 8-13

You solve the ones in the bracket first

(the rule of BODMAS)

So 8-13 first, then

-2times 8-13,then

Then you get your answer

Help!! Please :(????

Answers

Answer:

100

Step-by-step explanation:

Because Jasmine plus 9 friends equal to 10. And each person gives away 10 free samples. 10 times 10 equals to 100. Hope it helps and I’m so sorry if I’m wrong.

Answer:

Its 100

Step-by-step explanation:

because 10x10 equals 100 (PLUS JASMINE) you have to add jasmine or else it would be incorrect.

What is the area of the rectangle?

A. 40 units

B. 45 units

C. 50 units

D. 55 units

Answers

Answer:

-5 x -5 = 25

7 x 5 = 28

28 + 25 = 53

53 + 2 = 55

D. 55

There it is my dear friend.

Reuben types at a rate of 14 words per minute.
How many words does he type in 2 minutes?

Answers

Answer:

28 words.

Step-by-step explanation:

You already know that he types at a rate of 14 words per minute.

To find how many words he types in 2 minutes, just multiply 14 by 2.

You get 28, which tells you how many words Reuben can type in 2 minutes.

Answer :

The answer is 28.

Find the perimeter of triangle ABC

Answers

Answer:

20 units

Step-by-step explanation:

to solve this equation you need the pythagorean theorem: a^2 + b^2 = c^2

2^2 + 7^2 = 53; square root of 53 is 7.28010989; or about 7.3 units (line AC)

2^2 + 6^2 = 40; square root of 40 is 6.32455532; or about 6.3 units (line BC)

4^2 + 5^2 = 41; square root of 41 is 6.40312424; or about 6.4 units (line AB)

7.3 + 6.3 + 6.4 = 20

20 units

how many days are there in a month od july

Answers

seriously? .... its 31 days

What triangle can be formed with angle measures of 32,126,and 32

Answers

Answer:

Yes.

Step-by-step explanation:

32 + 32 + 126 = 180

This means that a triangle can be formed, as the angles add up to 180°.

Simplify the expression, show all of your work:
18 : 2.3
5 - 2

Answers

Answer:

9

Step-by-step explanation:

Numerator:18 divided by 2=9       9 times 3= 27

Denominator:3

27/3=9

Select all the statements that best describe the graph below.

Answers

Answer:

the independant variable is x

The Correct choices are :

dependent variable is y

rate of change is constant

this is a negative relationship

the independent variable is x

the relationship is linear

What is the LCM? Please help asap!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

C.) [tex]e^3r^3t^3[/tex]

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Steven deposits $200 in a savings account, and decides to increase the amount by $5 every month. Identify the function that describes the arithmetic sequence, and the amount he should deposit after 8 months.
possible answer: D = 8n + 200; $240
possible answer: D = −5n + 200; $160
possible answer: D = 5n + 200; $240
possible answer: D = −8n + 200; $160

Answers

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

If he decides to increase the amount by $5 every month, then the amount added after n months will be $5n

The function that describes the arithmetic sequence will be expressed as sum of the amount deposited and increment:

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

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Can anyone explain this to me?

Answers

Answer:

Option C

Step-by-step explanation:

Long division or synthetic division. Look up these two techniniques.

Alegebra. Identify the vertex and axis of symmetry of each. Please answer and e0lain how and why you got your answers.

Answers

There is no information displayed.

Here is how to do it.

How to calculate axis of symmetry:

Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:

How to calculate vertex:

The vertex form of a quadratic is given by

y = a(x – h)2 + k, where (h, k) is the vertex.

The "a" in the vertex form is the same "a" as

in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.

If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.

True or False: In order to solve an equation, we must isolate the variable.

Answers

the answer is false. in order to solve an equation you must reverse the operations acting on the variable

Please explain! I need help!

Answers

Answer:

B is the correct answer.

Step-by-step explanation:

what is the slope to the graph below?

Answers

Slope is 3

Y=3x+2.75

Write the slope intercept for of the equation of the line through the given points.
(4, 2) and (0, -5).
A) y=-7/4x-5
B) y=-5/4x-5
C) y=7/4x-5
D) y=5/4x-5

Answers

C) y = 7/4x - 5 .................

Please help I'll give the brainiest to the right answer!

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Because vertical angles are always equal, we want to solve [tex]50x+10=70x-10[/tex].

We can add 10 to both sides to get [tex]50x+20=70x[/tex].

We can subtract [tex]50x[/tex] from both sides to get [tex]20=20x[/tex].

Lastly, we divide both sides by 20 to get [tex]1=x[/tex].

So, [tex]\boxed{x=1}[/tex] and we're done!

The check is left as an exercise to the reader.

Answer:

x= 1

Step-by-step explanation:

TO solve you can use the equation 50x+10=70x-10.

First, subtract 10 from both sides:

50x= 70x-20

Then subtract 70x from both sides:

-20x=-20

Then divide by -20:

x=1

Check your work:

50(1)+10=70(1)-10

50+10=70-10

60=60

Hope this helps!

Write a real life scenario that could model the following relationship:

y=20x+60
Make sure to include what x and y represent in your description.

Answers

Answer:

You work for x hours and earn $20 for each hour. You get paid $60 before you come in each day. What is y when you work for x hours?

Step-by-step explanation:

x is the independent variable and can vary. You have to add the $60 in there, too. Adding them together gets you to y = 20x + 60 and this real life scenario works.

I
Simplify the expression.
2/5y−4+7−9/10y =

Answers

That’s the answer
Step:

click on the attachment <3 answer, please and thank you (:​

Answers

Answer:

10

Step-by-step explanation:

x-7=?

x=17

17-7=10

7+10=17

17=17 Correct :)

-14=-20y-7x
10y+4=2x

Solve by Elimination please!

Answers

Answer:

x = 2    y = 0

Step-by-step explanation:

$26 is what percent of $40?
$26 is ___% of $40.

Answers

Answer:

65%

Step-by-step explanation:

$2 = 5%

So $26 = 65%

Answer:

$26 is 65%​ of $40​.

Step-by-step explanation:

26: 40*100 =

(26*100): 40 =

2600: 40 = 65

how do i solve (4+6i)+(8-10i)?

Answers

Answer:

12- 4i

Step-by-step explanation:

(4+6i)+(8-10i)

4+6i+8-10i

4+8+6i-10i

12-4i

find the perimeter and area of the figure

Answers

Answer:

D.

Step-by-step explanation:

Use Pythagoras to solve for the longest side of the triangle

Add up the side lengths to find the perimeter

Multiply half the base by the height for the area

[tex]\frac{1}{2}[/tex](-1.4m+0.4)= |?|m+0.2
What number makes the expression equivalent?

Answers

what do you have to do

reflect triangle abc over the line x= -1 and then translate (x+2,y-5) determine the coordinates of B'​

Answers

Answer:

below

Step-by-step explanation:

You didn't show the triangle, but we suppose the coordinate of B is (x,y)

when it reflect over the line x=-1, (x , y) - > (- (x - (-1)) , y) ==>  (- (x+1) , y)

then translate (x+2,y-5) : (-(x+1) , y) -> - (-(x+1)+2 , y-5) ==>  (-x+1 , y-5)

such as (5,3) -> (-6,3) -> (-4 , -2)

What is negative 9 divided by 2?

Answers

9 divided by 2 is 4.5

Answer:

-[tex]\frac{9}{2}[/tex] = -4.5

Step-by-step explanation:

-9 ÷ 2

Fraction [tex]\frac{-9}{2}[/tex] can be written as [tex]-\frac{9}{2}[/tex] by extracting the negative sign.

[tex]-\frac{9}{2}[/tex]

Factor:

[tex]\frac{(-1)x3^{2} }{2}[/tex] = -4.5

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