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3 years ago

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What is the answer to 20x = 4 ?

1 answer:

Arada [10]3 years ago

3 0

Answer:

x= 1/5

Step-by-step explanation:

divide both sides by 20 to get x by itself.

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Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

stat: sample of 780 adults in the U.S.A., it was found that 80 of those had a pinworm infestation. You want to find the 99% conf

Anettt [7]

Answer: 554

Step-by-step explanation:

If prior population proportion is known, then the formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

As per given description, we have

p= 0.1

E=0.025

Critical z-value for 95% confidence : $z_{\alpha/2}=1.96$

Then,

$n=0.1(1-0.1)(\dfrac{1.96}{0.025})^2=553.1904\approx554$

Hence, the minimum sample size required = 554.

7 0

3 years ago

Find the area of the sector in terms of pi. 170 6 Area = [?] T

Harlamova29_29 [7]

Answer:

see the attachment photo!

8 0

2 years ago

Please help me due on Friday

barxatty [35]

Answer:

The correct answer is B (The universe was hotter previously than it is now

3 0

3 years ago

Read 2 more answers

Find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. Round your answer t

vovangra [49]

Answer:

$2577.8\text{ cm}^3$

Step-by-step explanation:

GIVEN: A right circular cone that has a height of $11.1$ cm and a base with a diameter of $17.2$ cm.

TO FIND: Volume of cone.

SOLUTION:

radius of cone $=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6\text{ cm}$

height of cone $=11.1\text{ cm}$

Volume of cone $=\frac{1}{3}\pi r^2h$

putting values we get

Volume of cone $=\frac{1}{3}\times3.14\times8.6\times8.6\times11.1$

$=2577.8\text{ cm}^3$

Hence the volume of cone is $2577.8\text{ cm}^3$

3 0

3 years ago