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3 years ago

Which expressions are equivalent to 64 Superscript 1? Check all that apply.

Mathematics

2 answers:

Katena32 [7]3 years ago

7 0

Answer:

A,C,F

Step-by-step explanation:

MatroZZZ [7]3 years ago

6 0

Answer:

c d

Step-by-step explanation:

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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

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Gemiola [76]

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4 0

2 years ago

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Tyler deposited $100 into a savings account for 6 years. The account earns 5% simple annual interest. 1. How much money will Tyl

Sladkaya [172]

100$×0.05= 5 $ is her annual interest
qusetion number 1 . 5$× 6 years = 30 $
for question number 2 . 100$+30$=130$

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3 years ago

Help please. I’m just totally confuse. You might have to zoom in to solve. Sorry in advance for the terrible quality that’s how

blsea [12.9K]

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I know that (A) is correct for the fisrt one.

Step-by-step explanation:

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3 years ago

How do u simplify the square root of 175

bekas [8.4K]

You could use a calculator or the best way to know is find a perfect square that multiplies another number to make that number. for example, square root of 175 (√175) = √25 times √7. then take the square root of the perfect square and multiply it by the square root. (√25 = 5) so the answer is 5 times √7. or 5√7

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3 years ago