Rewrite 1 3/5 as a decimal number?

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

2 years ago

What's the Answer? Provide steps please

dalvyx [7]

Answer:

0.24930286...

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How many thumbs down votes did the video get

lara31 [8.8K]

So you have the ratio of 9:2.

The video has 18 thumbs up votes with the ratio being thumbs up to thumbs down.

9 in relation to 18 is times 2 so it makes since to times 2 by 2.

Therefore the ratio would be 18:4 which means there would be 4 thumbs down.

4 0

2 years ago

A simple random sample of 25,000 individuals are surveyed in order to determine the prevalence of individuals that contracted th

Neko [114]

Answer:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Step-by-step explanation:

Given the survey, the prevalence of the flu, as a percentage, is given by:

Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.

In this question, we have that:

Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

$\frac{4250*100}{25000} = 17$

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

4 0

2 years ago

4/f + 11 =29 what does f =

Delvig [45]

$\frac{4}{f} + 11 = 29$

First, subtract '11' from each side.
$\frac{4}{f} = 29 - 11$

Second, subtract '29 - 11' to get '18'.
$\frac{4}{f} = 18$

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
$4 = 18f$

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
$\frac{4}{18} = f$

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
$4 \div 2 = 2 \\ 18 \div 2 = 9$

Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

7 0

3 years ago

Read 2 more answers