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2 years ago

48.9 is 58% of what number?

Mathematics

1 answer:

tangare [24]2 years ago

4 0

Answer:

84.48

Step-by-step explanation:

Formula = Number x 100

Percent = 49 x 100

58 = 84.48

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3 years ago

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Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

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3 years ago

HELP ASAP!! Justify the answer to the equation by explaining the steps you took.

babymother [125]

Step-by-step explanation:

Given: 2x-6=5x+18

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2 years ago

What is the value of x in x + 129 = 237?

Yakvenalex [24]

Answer:

108

Step-by-step explanation:

237-129= 108

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Convert 2.4 kg into cg. Please show your work.

Sphinxa [80]

1 kg = 1000 g
1 cg = (1/100) g

2.4 kg
2.4 * 1000 g
2400 g
2400/100 cg
24 cg

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3 years ago

48.9 is 58% of what number?​

48.9 is 58% of what number?