All categories

3 years ago

Question is attached

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

Please check explanations

Step-by-step explanation:

Mathematically;

csc 2 theta = 1 / sin 2 theta

Sin 2 theta = sin (theta + theta)

= 2sin theta cos theta

So therefore;

csc 2 theta = 1/2(sin theta cos theta)

= 1/2 * 1/sin theta * 1/ cos theta

1/sin theta = csc theta

1/cos theta = sec theta

Thus;

csc 2 theta = 1/2 * csc theta * sec theta

csc 2 theta = 1/2 sec theta csc theta

You might be interested in

What fractions are equivalent to 1 and 2/3?

s344n2d4d5 [400]

1 2/3 = (3 + 2)/3 = 5/3

4 0

3 years ago

Find the following:

Butoxors [25]

Answer:

Step-by-step explanation:

Limit refers to the value that the function approaches as the input approaches some value.

We say $\displaystyle \lim_{x\rightarrow a}f(x)=L$ , if f(x) approaches L as x approaches 'a'.

(a)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=4\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=4\\$

$\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=4\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4\left ( \displaystyle \lim_{x\rightarrow 5}x-5 \right )\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4\displaystyle \lim_{x\rightarrow 5}x-4(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=4(5)-4(5)\\$

$\displaystyle \lim_{x\rightarrow 5}f(x)-8=20-20=0\\\displaystyle \lim_{x\rightarrow 5}f(x)=8$

(b)

$\displaystyle \lim_{x\rightarrow 5}\left ( \frac{f(x)-8}{x-5} \right )=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-\displaystyle \lim_{x\rightarrow 5}8}{\displaystyle \lim_{x\rightarrow 5}x-\displaystyle \lim_{x\rightarrow 5}5}=7\\\frac{\displaystyle \lim_{x\rightarrow 5}f(x)-8}{\displaystyle \lim_{x\rightarrow 5}x-5}=7\\$

$\displaystyle \lim_{x\rightarrow 5}f(x)-8=7\left ( \displaystyle \lim_{x\rightarrow 5}x-5 \right )\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=7\displaystyle \lim_{x\rightarrow 5}x-7(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=7(5)-7(5)\\\displaystyle \lim_{x\rightarrow 5}f(x)-8=35-35=0\\\displaystyle \lim_{x\rightarrow 5}f(x)=8$

3 0

4 years ago

Are there concepts/processes to strictly follow in writing radicals as expressions with rational exponents?

Eva8 [605]

Answer:

The concept or process is $x^{\frac{m}{n}}=(\sqrt[n]{x})^m$ .

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

$x^{\frac{m}{n}}=(\sqrt[n]{x})^m$

For example:

$(27)^{\frac{2}{3}}=(\sqrt[3]{27})^2$

$(27)^{\frac{2}{3}}=(3)^2$

$(27)^{\frac{2}{3}}=9$

Hence, the concept or process is $x^{\frac{m}{n}}=(\sqrt[n]{x})^m$ .

5 0

3 years ago

Ms. Boehmer's dog Stella weighs about 20.5 kilograms. How many grams does it<br> weigh?

Zarrin [17]

Answer:

20500

Step-by-step explanation:

Every kilogram is 1000 grams,

You would times 20.5 by 1000 to get

20500 grams.

8 0

3 years ago

Read 2 more answers

Nathan invests money in an account paying simple interest. He invests $180 and no money is added or removed from the investment.

sweet-ann [11.9K]

I think this question is technically asking
196.20 is what percent of 180, if so it would be 109%

https://www.percentagecal.com/answer/180-is-what-percent-of-196

5 0

3 years ago

Read 2 more answers

Question is attached​

Question is attached