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KonstantinChe [14]
3 years ago
13

How many 0.3's would it take to make 3? Explain your reasoning. ​

Mathematics
1 answer:
grin007 [14]3 years ago
3 0
10. Since it you want to find how many 0.3s it would take to make 3, you would divide 3 by 0.3 or move the decimal over one spot to the right making it 10.
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Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
Solve:<br> 3x - 9 = 5(x-3)
Viefleur [7K]

Hi,

3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3

Have a good day.

3 0
3 years ago
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l
Elis [28]

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

6 0
3 years ago
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A triangle has side lengths of 12 cm and 35 cm and 37 cm. Classify it as acute, obtuse or right
Lapatulllka [165]
This triangle would be acute none of the angles are greater than or equal to 90.
4 0
3 years ago
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Answer this. It's the area of a trapezoid
Lelechka [254]
((b1+b2)÷2)(h)=A
so I think the answer is 3 1/16 or 3.0625
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