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yarga [219]
3 years ago
15

Help please please Please pls

Mathematics
1 answer:
Katena32 [7]3 years ago
6 0
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15% of what number is 900?
Ugo [173]

Answer:

135

Step-by-step explanation:

15/100 × 900 = 15 × 9 = 135

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2 years ago
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Answer the question in the picture
nekit [7.7K]

Recall the angle sum identities:

\sin(x+y)=\sin x\cos y+\cos x\sin y

\cos(x+y)=\cos x\cos y-\sin x\sin y

Now,

\tan(x+y)=\dfrac{\sin(x+y)}{\cos(x+y)}=\dfrac{\sin x\cos y+\cos x\sin y}{\cos x\cos y-\sin x\sin y}

Divide through numerator and denominator by \cos x\cos y to get

\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}

Next, we use the fact that x,y lie in the first quadrant to determine that

\sin x=\dfrac12\implies\cos x=\sqrt{1-\sin^2x}=\dfrac{\sqrt3}2

\cos y=\dfrac{\sqrt2}2\implies\sin x=\sqrt{1-\cos^2x}=\dfrac1{\sqrt2}

So we then have

\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}

\tan y=\dfrac{\sin y}{\cos y}=\dfrac{\frac1{\sqrt2}}{\frac{\sqrt2}2}=1

Finally,

\tan(x+y)=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3\approx3.73

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2 years ago
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.
snow_lady [41]

A suitable probability app shows the 1st percentile to be at about 11040 pages.

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The app shown has an error in the first decimal digit. The number is closer to 11040.82301. We expect the manufacturer would round to the nearest 10 or 50 or 100 in advertising.

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Which table shows a proportional relationship between x and y?<br><br>​
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Step-by-step explanation:

This is D because your dividing by 5 or each one and thats how you get Your output number

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I didn't know what to do here​
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B

Step-by-step explanation:

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