To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the window, how far away from the building should Rafi place the base of the ladder?

Answers

Answer 1

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

[tex]a^{2} +b^{2} =c^{2}[/tex]

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

[tex]a^{2} +4^{2} =5^{2}[/tex]

Simplify it

[tex]a^{2} +16=25[/tex]

Subtract both sides 16

[tex]a^{2} =9[/tex]

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.


Related Questions

find the perimeter and area?

Answers

Answer:

P = 51 units

A = 137 units^2

Step-by-step explanation:

P = 5+5+7+11+7+16 = 51 units

A = 5x5 + 16x7 = 137 units^2

Hope that helps

Ok done. Thank to me :>

Mo has a bag of sweets she has 3 chews and2 mints left Seh picks out a sweet what is the probability that she picks a mint

Answers

Answer:

2/5

Step-by-step explanation:

If she has 3 chews and 2 mints left, the probability that she picks a mint is 2/5 as they are only 2 mints and 3 chews and 2+3 = 5. So the awnser is 2/5.

can someone please help with math?!

Answers

Slope: 3/5
The formula for slope is rise over run
In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)

plese help 40 pts and brainliest if correct

Answers

Try B, but note I’m not sure if right.

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??


Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

What is the median of these numbers 9, 10, 6, 5, 6

Answers

Answer:

6.

Step-by-step explanation:

First you put the numbers in order, 5, 6, 6, 9, 10 then you find the number in the middle, which in this case is 6.

Write the following five interest rates in descending order (greatest to least): 5.51%, 5 1/2%, 5 5/8%, 5.099%, 5.6%

Answers

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

To learn more about descending order click :

https://brainly.com/question/13174148

#SPJ2

44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *​

Answers

Answer:

check online for more information

help plz I don't know what I'm doing​

Answers

Answer:

d

Step-by-step explanation:

Answer:

Sorry for the late response / Its D

Step-by-step explanation:

Plz mark brainliest

What is 2 rounded to the nearest whole number?

Answers

Answer:

2

Step-by-step explanation:

Need help l don’t understand due soon

Answers

Answer:

x = 9

Step-by-step explanation:

44 = 2(3x-5)

2(3x-5) expanded is 6x -10

44= 6x -10

+10 to both sides

=

54 =6x

54 divide by 6 = 9

x = 9

please mark as brainlesit is correct.

Answer:

First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x

Step-by-step explanation:

1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer

Answers

Answer:

2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0

Step-by-step explanation:

i have no idea what math this is or what its looking for so please comment how to improve the answer

Find f(-2) if f(x)= x^2 + 8x

Answers

Answer:

f(-2) = -12

Step-by-step explanation:

f(x)= x² + 8x

We want to find f(-2)

f(-2) = (-2)² + 8(-2)

Apply exponent : (-2)² = 4

f(-2) = 4 + 8(-2)

multiply 8 and - 2 : 8 * -2 = -16

f(-2) = 4 - 16

subtract 16 from 4 : 4 - 16 = -12

f(-2) = -12

Step-by-step explanation:

f(x) = x² + 8x

f(-2) = (-2)² + 8(-2) = 4 - 16 = -12

Which expression is equivalent to 7 − 9 ?

Answers

Answer:

Try subtracting 9 from 7 to find the value.

Step-by-step explanation:

Find the solution
Y = -3x - 5

Answers

Answer:
-5/3

Explanation:

Answer this question!​

Answers

Answer:

I would tell you

Step-by-step explanation:

you need to put 2 y and 2 x and that you need to divide

#1

Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197


Please help will mark as brainliest

Will report if any links

Answers

Answer:

= 188, x = 7.89, s = 2.23

Step-by-step explanation:

= 188, x = 7.89, s = 2.23

A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit

Answers

Answer:

50-2

Step-by-step explanation:

there is 50 donuts and 2 that are frosted :)

Step-by-step explanation:

2 have frosting, therefore 50-2 = 48 don't.

so, the ratio is for frosting vs. non-frosting

2 : 48 (which would be also 1 : 24).

What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10

Answers

it's C 0.03

0.03= 3%

0.30= 30%

3.00= 300%

the answer is c)0.03

A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?

There are__?__ acres of old-grown trees.

Answers

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.

Answers

Answer:

9

Step-by-step explanation:

9 pillows per hour i believe

Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?

Answers

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

7 rides is the answer.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.

Rachel finished 3/4of the race in 6 hours. How long was the entire race?

Answers

Answer:

it will take a total of 8 hours to finish the race

Step-by-step explanation:

6h÷3/4=8

8% of 60 is half of what number

Answers

Answer:

9.6

Step-by-step explanation:

8% of 60 is 4.8

4.8 is half of 9.6

hope this helps! :D

have a miraculous day!! <3

Answer:

9.6

Step-by-step explanation:

8% of 60 is equal to 4.8

To find what 4.8 is half of, multiply 4.8 by 2

4.8 times 2 equals 9.6

what is 26x54 PLSSSSSSSSSSSS

Answers

Answer:

1404

Step-by-step explanation:

Answer:

1404

Step-by-step explanation:

If you need assistance with problems like these, try breaking it up!

Instead of 26*54, try doing 26*50 + 26*4

Having "wholer" numbers will help the process.

Please help trigonometry

Answers

Answer:

= 59.36

Step-by-step explanation:

S = 207

so, tan(16) = H/S

tan(16°) = 0.28674539

so H = tan(16) * S = 0.28674539 * 207 = 59.35629573

so the tree high = 59.36 foot

help with my math please

Answers

Answer:

j mmmmmmm

Step-by-step explanation:

mmmmmmmmm

I need help. Whats the answer?

Answers

By the pythagorean theorem a^2 + b^2 = c^2 so if we do 8^2 + 6^2 it is 100

Function project a day of fun

Answers

i mean i dont know what you want me to help but good luck

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