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kari74 [83]
4 years ago
6

The probability distribution histogram shows the number of days a book is checked out of a library. Find P(3 ≤ X < 12)

Mathematics
1 answer:
grin007 [14]4 years ago
4 0
0.4 is your answer your welcome
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Given: △KLM, LM=20 3 <br> m∠K=105°, m∠M=30°<br> Find: KL and KM
hjlf

Okay, so the angle of K is 45° (180 - 135).

Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.

I don't know if you've learned this yet (just google them if you're confused):                                                                       - for a 45 45 90 triangle the sides are x, x, and x√2.                                                 - for a 30 60 90 triangle the sides are x, 2x, and x√3.

Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.

Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>

<u>The answer: KL is 10√6, KM is 10√3 + 30</u>

(I'm sorry it's such a long explanation, pictures would have been better)

6 0
3 years ago
C. 24 mm, 24 mm, 24 mm
Lemur [1.5K]
Equilateral triangle

Explanation:
All of the sides are equal
3 0
2 years ago
What is 87 24/25 in decimals step by step
JulijaS [17]
<span>87 24/25 ...this is a mixed fraction ..so in order to get in in decimal we first need to convert it into unlike fraction ..for that we do the following ...
</span>
<span>87 24/25
</span>=> multiply the whole number and the denominator ..
=>87 X 25 = 2175
=>now add the numerator to this product ...
=>2175 + 24 = 2199 ..
=> so now we get an unlike fraction which when we divide we get the answer in decimals ..
=> 2199/25 = 87.96 ...
    that is ... 87 24/25 in decimals ...

Hope it helps !!!


5 0
3 years ago
Read 2 more answers
Bob and Nina make dog leashes . Bob can make 7 leashes in 2 hours and nina can make 4 leashes in 1 hour enter an equation that c
Valentin [98]

Answer:

Number of leashes Bob can make in 2 hours = 7

Number of leashes Bob can make in 1 hour = 7÷2 = 3.5

Let, Bob takes total x hours.

Number of leashes Nina can make in 1 hour = 4

Let, Nina takes total x hours.

∴  The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-

3.5x+4x = 60.

7.5x = 60

This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.


5 0
4 years ago
Read 2 more answers
How to you find the area please help
Gemiola [76]
Base*height  you multiply the base and height together
7 0
3 years ago
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