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Juliette [100K]
3 years ago
11

Determine the length of a ladder that Sir Gleefulheart needs to reach the top

Mathematics
1 answer:
arlik [135]3 years ago
4 0

9514 1404 393

Answer:

  10 meters

Step-by-step explanation:

You recognize that the ratio of leg lengths of the right triangle involved is ...

  6 : 8 = 3 : 4

You know that any right triangle with leg lengths 3 and 4 has a hypotenuse of 5. The ladder will need to be in the same ratio:

  3 : 4 : 5 = 6 : 8 : 10

The ladder needs to be 10 meters long.

_____

In case you don't remember that (3, 4, 5) is a "Pythagorean triple," you can figure the length using the Pythagorean theorem.

  6^2 +8^2 = hypotenuse^2

  36 +64 = 100 = hypotenuse^2

  hypotenuse = √100 = 10 . . . . required ladder length in meters

You might be interested in
What is - 4i ^ 19, simplify
german

Answer:

"i"

Step-by-step explanation:

i =\sqrt{-1} \\i^{2}= -1\\\\i^{3}= -i\\\\i^{4}= 1\\\\i^{5}= i\\

the cycle repeats every 4

19/4 = 4.75

16 is divisible by 4 plus three more

thus  i^{19} = -i  but you problem has a minus in front  so "i"

7 0
3 years ago
Divide $150 into the ratio 2:5:3
pentagon [3]

Answer:

$30, $75, $45

Step-by-step explanation:

We can set up an equation, where x is an unknown value:

2x+5x+3x=150

10x = 150

x=15

Now that we know what x is, we can plug x in to solve for 2x, 5x, and 3x:

2x=2*15=30

5x=5*15=75

3x=3*15=45

Therefore, the answer is $30, $75, $45

5 0
3 years ago
I need help on this​
luda_lava [24]

Answer:

C. 16

Step-by-step explanation:

First of all, these two angles are corresponding angles, which means that they equal each other. So, the equation here would be: 2x+18= 4x-14.

Step 1- Move the variables to one side.

2x+18= 4x-14

-2x       -2x

18= 2x-14

Step 2- Add 14 to both sides of the equation.

18= 2x-14

+14      +14

32= 2x

Step 3- Divide 2 to both sides of the equation to isolate the variable.

<u>32</u>=<u> 2x</u>

2     2

x= 16

7 0
3 years ago
Read 2 more answers
Please help quickly, if someone answers quickly I'll give them Brainly.
denis-greek [22]
1. A

I hope this helped! This is because the division of numbers and factors are equal to this.
6 0
3 years ago
Read 2 more answers
MATH!!! find the volume of the pyramid. pleaseee answer correctly and tell me how you got your answer.
bagirrra123 [75]

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

<h3>What is the volume of the pyramid?</h3>

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

To learn more about the volume visit:

brainly.com/question/1972490

#SPJ1

3 0
2 years ago
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