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sveta [45]
2 years ago
5

Help me with this question ​

Mathematics
1 answer:
enot [183]2 years ago
4 0

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

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Simplify the following
Goshia [24]

Answer:

9

Step-by-step explanation:

Using the rules of logarithms

logx^{n} = nlogx

log_{b} b = 1

Then

log_{x} x^{9}

= 9log_{x} x

= 9

4 0
3 years ago
What is the Pythagorean Theorem
Vlad [161]

Answer:

see below

Step-by-step explanation:

The Pythagorean theorem is for right triangles.  It uses the two legs and the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

4 0
2 years ago
D) - 15/3 = x + 1<br> how do i solve this
kobusy [5.1K]

Answer:

x = - 6

Step-by-step explanation:

- 15/3 = x + 1

- x = 1 + 15/3

- x = 3/3 + 15/3

- x = 18/3

x = - 18/3

x = - 6

6 0
3 years ago
I'm stuck on this problem also
mash [69]
<span>The perimeter is 14.47
 
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result. Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5 Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5 Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47 Now add the length of each side together 5 + 5 + 4.47 = 14.47</span>
8 0
3 years ago
PLEASE HELP FAST
Anna11 [10]

Answer:

5 1/12

Step-by-step explanation:

2 3/4 can be turned into 11/4

2 1/3 can be turned into 7/3

Multiply the first fraction by 3 and the second by 4 to get:

33/12 and 28/12

Add the numerators

61/12

simplified to:

5 1/12

3 0
3 years ago
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