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3 years ago

What is 47,300 in scientific notation?

1 answer:

3 0

There's always a decimal at the end of a whole number. here it's behind the last zero. move that decimal so that the non-zero digit is less than 10 but more than 1.
4.73, the decimal was moved 4 places to the left. so the scientific notation is
4.72X10^4

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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

Change y-7=m(x-4) to standard form

Ivan

Answer:

mx -y = 4m -7

Step-by-step explanation:

Standard form is ...

ax +by = c

where a, b, c are mutually prime integers and a > 0.

If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.

y -7 = mx -4m . . . . eliminate parentheses

-7 = mx -y -4m . . . . subtract y

4m -7 = mx -y . . . . . add 4m

mx -y = 4m -7 . . . . . . standard form

4 0

2 years ago

(s+12)+(-3s-8) equals?

finlep [7]

Answer:

-2s + 4

General Formulas and Concepts:

Combining like terms

Step-by-step explanation:

Step 1: Define expression

(s + 12) + (-3s - 8)

Step 2: Simplify

Combine like terms (s): -2s + 12 - 8
Combine like terms (constants): -2s + 4

4 0

3 years ago

If something is already a negative would i keep it a negative or change it to a positve

amid [387]

Change it into positive.... u have to change it so that that negative things would not harm u.....

5 0

3 years ago

Evaluate −6 − (−4). A. −10 B. 24 C. −2 D. 2

Papessa [141]

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

3 0

3 years ago