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3 years ago

What is the counter example for 'if you do not eat beef then you're not vegetarian'

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer: If you're not vegetarian, then you do not eat beef.

Step-by-step explanation:

Dismiss the 'if' and 'then':

- you do not eat beef

- you're not vegetarian

Now, all you have to do is switch their places:

- you're not vegetarian

- you do not eat beef

Now add the 'if' and 'then' back:

If you're not vegetarian, then you do not eat beef.

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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

Using the points [164,166]and[173,174] find the slope

Lana71 [14]

Answer:

8/9

Step-by-step explanation:

The equation to find a slope is y2-y1/x2-x1=m. (m is the slope)

174-166/173-164

8/9

So the slope is 8/9.

8 0

3 years ago

Points q, r, s, t, are plotted on the number line below

vodomira [7]

Answer:

Step-by-step explanation:

must be r and s

because right at in middle of the distance between them is 0

4 0

3 years ago

Which of the folloving statements is the most precise and corred to define perpendicular lines?

svetoff [14.1K]

Answer:C

Step-by-step explanation:

6 0

3 years ago

The circumference of a circle is 12 inches. What is the radius

IceJOKER [234]

Greetings!

"The circumference of a circle is 12 inches. What is the radius?"...

We can use the formula to find the circumference of circle to solve this:
 $2 \pi r$

Input the information we know:
 $2 \pi r=12$

Solve for r, using the properties of equality:

Simplify.
 $6.28r=12$
Divide both sides by 6.28
 $(6.28r)/6.28=(12)/6.28$ 
Simplify.
 $r=1.91$

The radius is 1.91cm long.

Hope this helps.
-Benjamin

7 0

3 years ago