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3 years ago

I need help!

Mathematics

2 answers:

timama [110]3 years ago

6 0

Fractions,rats, and percents all interconnect. For ext,50%=11/2 =1:2

Anon25 [30]3 years ago

5 0

Answer:

a ration 3:4 can be written as a fraction 3/4 or a percent 75%

Step-by-step explanation:

to go from a fraction to a percent divide the numerator by the denominator and multiply by 100.

3/4 = .75

.75 X 100 = 75%

if something happens 3 out of 4 times (3:4) then it will happen in 75 of 100 instances.

100 x $\frac{3}{4}$ = 75

or using the percentage above (in decimal form)

.75(100) = 75

These are just different methods for representing the same information.

1:4 ration is equal to $\frac{1}{4}$ fraction is equal to 25% (or .25)

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

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2 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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