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netineya [11]
3 years ago
15

Find the LCM of 12, 15, 18

Mathematics
1 answer:
jekas [21]3 years ago
3 0
The answer is <span>180 because 
</span>12 = 4*3 
<span>15 = 3*5 </span>
<span>18 = 2*9 </span>
<span>20 = 4* 5 </span>

<span>Any common multiple must be a multiple of 4, 9, and 5. Since those three are coprime, the least common multiple is their product: 4*9*5 = 180</span>
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Sonbull [250]

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sec(<em>x</em>) = csc(<em>x</em>)

By definition of secant and cosecant,

1/cos(<em>x</em>) = 1/sin(<em>x</em>)

Multiply both sides by sin(<em>x</em>) :

sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)

As long as sin(<em>x</em>) ≠ 0, this reduces to

sin(<em>x</em>)/cos(<em>x</em>) = 1

By definition of tangent,

tan(<em>x</em>) = 1

Solve for <em>x</em> :

<em>x</em> = arctan(1) + <em>nπ</em>

<em>x</em> = <em>π</em>/4 + <em>nπ</em>

(where <em>n</em> is any integer)

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of

<em>x</em> = <em>π</em>/4   <u>or</u>   <em>x</em> = 5<em>π</em>/4

5 0
2 years ago
1.
mr_godi [17]
Plug the points into the equation.
Ex. y=3x-5
(X,y)
1. (5,10): 10=3(5)-5
15-5=10; point 1 is valid
-1=3(-2)-5
-1=-6-5
-1 does not equal -11
Point 2 is not valid
Same process for letter B
8 0
3 years ago
Complete the table to investigate dilations of exponential functions. A 4-column table with 5 rows. Column 1 is labeled x with e
pochemuha

Answer:

A=1 B=3 C=1 D=2 E=6 F=8

Step-by-step explanation:

the second part is b= y=3 times2^x

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The correct answer is:

D. ∠FGE≅∠NMP

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).  

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