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mixer [17]
3 years ago
11

How do you write 199.4% as a decimal?

Mathematics
2 answers:
allsm [11]3 years ago
8 0

Answer:

1.994

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.

199.4% = 199.4 over 100 or,

199.4%=199.4100

199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:

199.4 ÷ 100 = 1.994

Therefore, we have shown that

199.4% = 1.994

Simplified Conversion:

Remove the percent sign % and divide by 100.

199.4 ÷ 100 = 1.994

Shortcut Conversion:

Move the decimal point 2 places to the left and remove the percent sign %

199.4% becomes 1.994

earnstyle [38]3 years ago
3 0

Answer:

1.99400

I hope this helps!

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maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

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or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

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and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

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\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

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Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

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andrew-mc [135]
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weqwewe [10]

Answer:

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Step-by-step explanation:

From the Trapezoid attached :

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LE = AT = 10

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Answer:

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Answer:

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Step-by-step explanation:

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