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andrezito [222]
3 years ago
10

I am having trouble on starting this! Please help

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
A. x is greater than 3
B. x is less than or equal to -48
C. x is less than -3
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Find the LCM<br> of 9 and 27.
Mnenie [13.5K]

Answer:

27

Step-by-step explanation:

The answer is 27, because 9 x 3 = 27 and the smallest number that is the same is 27.

Hope this helps!

6 0
3 years ago
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PLEASE HELP ME!!!!!!!! 
Delicious77 [7]
Angle θ between two vectors is given by, \theta =cos^{-1}( \frac{u&#10; \cdot v}{|u||v|} ); where u \cdot &#10;v=-5(-4)+(-4)(-3)=20+12=32; |u|= \sqrt{ (-5)^{2} + (-4)^{2} } = &#10;\sqrt{25+16} = \sqrt{41} and |v|=\sqrt{ (-4)^{2} + (-3)^{2} } = &#10;\sqrt{16+9} = \sqrt{25}=5.
Therefore, \theta =cos^{-1}( \frac{32}{ 5\sqrt{41}} )=cos^{-1}0.9995=1.8^o
3 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
Trig. Ratios of perimeters and areas.
fenix001 [56]

Answer:

8:9

Step-by-step explanation:

ratio of areas = (ratio of sides)²

64/81 = (ratio of sides)²

Square root both sides

8/9 = ratio of sides

5 0
3 years ago
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