Mathematics High School

13 m
12 m
wall
ladder
The ladder, the ground, and the wall form a right triangle.
ground
How far away from the wall does the ladder need to be placed so that it reaches 12 meters up the wall? If needed, ROUND TO THE NEAREST TENTH.
A
17.7 meters
B.
25 meters
С
5 meters
D
313 meters

13 M12 MwallladderThe Ladder, The Ground, And The Wall Form A Right Triangle.groundHow Far Away From

Answers

Answer 1

Answer:

The ladder needs to be placed at 5 m from the wall.

Step-by-step explanation:

Pythagoras's Theorem

Being a and b the legs of a right triangle and c its hypotenuse, then

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

The image shows a ladder of length c=13 m as the hypotenuse of the right triangle formed by the height, the ladder, and the ground.

We are given the height up the wall as a=12 m.

We calculate the distance b solving it from the equation above:

[tex]b^2=c^2-a^2[/tex]

Substituting:

[tex]b^2=13^2-12^2[/tex]

Operating:

[tex]b^2=169-144[/tex]

[tex]b^2=25[/tex]

Taking the square root:

[tex]b=\sqrt{25}[/tex]

b = 5 m

The ladder needs to be placed at 5 m from the wall.

Related Questions

What is the value of 0? ​

Answers

Answer:

[tex]\huge\boxed{\sf \theta = 36.9\°}[/tex]

Step-by-step explanation:

[tex]\sf cos \theta = adjacent/ hypotenuse\\\\where \ adjacent = 4 , hypotenuse = 5\\\\cos \theta = 4 / 5\\\\cos \theta = 0.8\\\\\theta = cos^{-1} 0.8\\\\\theta = 36.9\°\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

please answer if u know

Answers

Answer:

9 dollars

Step-by-step explanation:

let x be per mile

the equation for solving this would be 0.5x + 3(flat fee)=amount you have to pay

The x is 12 since you have to go 12 miles

0.5(12)+3=amount you have to pay

6+3=amount you have to pay

$9=mount you have to pay

can someone help me !

Answers

B Is the answer ......... z

what is inverse function of f(x) = -3x+27

Answers

Answer:

y=9-x/3

Step-by-step explanation:

swap the variable y=27-3x becomes x=27-3y

now solve the equation x=27-3y for Y

y=9 - x/3

and done:)

HOPE IT HELPS ♡

No need to show work just need answer.

Answers

Can I have brainliest since u did t put a picture :)

which number line show the solution of 2x - 8 > -4

Answers

Answer:

x=2

Step-by-step explanation:

Need help resolving the following quadratic expressions:

a) 4x -4x -15 = 0

b) 2y +7y + 3 +0

Answers

Answer:

first answer for (a) is -15=0

second answer for (b) is =9y+3

Step-by-step explanation:

its juss so easy

2. Water bottles are sold in cases of
24. Select the expressions that can
represent the total number of water
bottles in c cases.
24 XC
24 = 0
24 + c
24 – C
24c

Answers

72 because If you do times equal that amount and 35

roger has a nail that is 12 centimeters long. he measures and records the length of the nail as 15 centimeters. what is the % error in Rogers measurements ​

Answers

15-12=3. 3/12=1/4=25% error

I have to take care of my sister's cat while she is on vacation. The cat is a very picky eater and will only eat a certain cat food, available at two stores.

Gristede's sells 12 cans for $18

PetSmart sells 20 cans for $26

Which store is offering the best deal on cat food?

Make sure to explain how you were able to determine which store offers the best deal on the cat food.

What us the equivalent ratio for 4:3

Answers

Answer:

PetSmart is offering the best deal

Step-by-step explanation

For Gristede's we get 18 and divide it by 12 which would give us $1.50 per can

For PetSmart we get 26 and divide it by 20 which would give us $1.30 per can

pleaseeee help pleaseee

Answers

Step-by-step explanation:

you can do it using the formula of ratio

Answer:

large dogs = 32

Step-by-step explanation:

small dogs to large dogs = 4: 3

total ratio = 7

large dogs = 4/7

total dogs = 56

large dogs = 4 x 56

                     7

large dogs = 32

rewrite 6x - 5 in standard form

Answers

Answer:

I'm pretty sure the answer is still 6x-5.

Step-by-step explanation:

find the values of x and y

Answers

Answer:

61=x cortical opposite angle

61=y corresponding angle

Answer:

61=x and 61=y

Step-by-step explanation:

I think that bout right

What is the Factor of :
10x + 15

Answers

Answer:

The factor of : 10x+15 is

Step-by-step explanation:

10x+15

5(2x+3)

i need help
this is due today at 4

Answers

Answer:

Hi The Answer is A.

Step-by-step explanation:

The Answer is A Because of the funter travel of the X.

x*y=z

Hope This Helps.

:)

My name is John henry.

C......................... to

What is the circumference of the circle below?

Answers

Answer:

Step-by-step explanation:

circumference C=2*3.14*r

C=2*3.14*18m=113.04 m

Answer:

113.04 meters.

Step-by-step explanation:

Use the formula

2 times pi times r

r=radius of the circle

or Pi times D

d= diameter of the circle.

The radius is 18 meters.

So, do 2 times 18 times pi.

a company will clean jarrel carpets for a total of $71 jarrel has a coupon for 20% of the total how much will jarrel save when he used the coupon?​

Answers

Answer: 14.2 I hope im Right but it’s a simple question

Step-by-step explanation:

Answer:

do whatever your instincts are telling you to do

Step-by-step explanation:

Area of a right triangle (7,6)

Answers

Answer: The answer is 21

Step-by-step explanation:

The area  formula is 1/2 bh so if you take if you put the numbers into formula it = a=1/2(6)(7)

What is the answer ​

Answers

Answer:

∠B = 60°

Step-by-step explanation:

They are supplementary angles, which means they add up to 180°.

∠B + ∠A = 180

? + 120 = 180

? = 180 - 120

? = 60°

An airplane can seat up 175 passengers

Answers

okay okay 123

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

175-87=88 so 88 is where the dot needs to be located so we have option A and option B

For ≤ and ≥ , use a closed dot

For > and < , use a open dot

she said AT LEAST 175

so we would use a closed dot

Use the distributive property to write an equivalent expression. 2.5 ( w + 3 )

Answers

Answer:

2.5w + 7.5

Step-by-step explanation:

2.5(w+3)

2.5w+7.5

anything helps !!! :))))

Answers

968!
You would multiply 900 and 7.5% which would give you 67.5. Add the 900 and 67.5 which would give you 967.5 but round it off to 968!

Solve the equation for all real solutions:
16n^2-10n-5=6n

Answers

Answer:

5/4 and - 1/4

Step-by-step explanation:

16n^2-10n-5=6n

16n^2-16n-5=0

(4n+1)(4n-5)

4n=-1        4n=5

n= -1/4  n= 5/4

Help plz!!! (20 points)


(07.03 LC)


How many solutions does the equation 6y − 3y − 7 = −2 + 3 have? (1 point)


Group of answer choices


None


Infinitely many


Only one


Two

Answers

I would say infinitely many

9514 1404 393

Answer:

  Only one

Step-by-step explanation:

Taking the question at face value, the equation simplifies to ...

  y(6 -3) -7 = 1

  3y = 8 . . . . . . . add 7

  y = 8/3 . . . . . . .divide by 3

There is exactly one solution.

What is the measurement of 127^*
A.13
В.35
С.53
D.73

Answers

Answer:

C

Step-by-step explanation:

Because if you do the multiplication then you would know that it was c

Geometry - Unit 4 - Lesson 8

Answers

Answer:

Ok

Step-by-step explanation:

Ok

HELPP PLEASEEEEE 42 POINTS !!! what is 6( -3w + 1/3) =

Answers

Answer:

2 - 18w or -18w + 2

Step-by-step explanation:

6(-3w + 1/3)

Multiply using distrubutive property

-18w + 6(1/3)

Multiply 6 * 1/3 to get 6/3 or 2

-18w + 2

This is optional, but put the variable term on the right

2 + (-18w)

2 - 18w

A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water? (1 point)

{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}

Answers

Answer:

The correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.

Step-by-step explanation:

A watering can dispenses water at the rate = 0.3 gallon per minute

The original volume of water in the can = 7 gallons.

Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?

First making the function:

The the volume of water in the can in gallons is represented by y and  time in minutes is represented by x. Initially the volume is 7 gallons, after than water dispense at rate of 0.3 gallon per minute so, the function will be:

y=7-0.3(x)

Now, putting values to find ordered pairs

So, when time is 1 minute i.e x = 1

y=7-0.3(1)

y=7-0.3

y=6.7

So, when x=1, y=6.7 the ordered pair is: (1,6.7)

when time is 2 minutes i.e x = 2

y=7-0.3(2)

y=7-0.6

y=6.4

So, when x=2, y=6.4 the ordered pair is: (2,6.4)

when time is 3 minutes i.e x = 3

y=7-0.3(3)

y=7-0.9

y=6.1

So, when x=3, y=6.1 the ordered pair is: (3,6.1)

So, the correct ordered pairs are:

{(1, 6.7), (2, 6.4), (3, 6.1)}

Option A is correct.

need help math question​

Answers

My answer is 8 . Please check the answer.

Find the measure of each angle indicated.
2)
50°
?
A) 60°
B) 50°
C) 130°
D) 940

Answers

C is the correct answer


good luck
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