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musickatia [10]
3 years ago
6

What is the domain of the function?

Mathematics
1 answer:
boyakko [2]3 years ago
5 0
(-infinity, +infinity)
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Solve the Law of Cosine: c^2 = a^2+ b^2 - 2abcosC for cos C.
Andrew [12]

Answer:

The Law of Cosine :  cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}

Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b   and    CD = x

By Pythagoras Theorem

In Triangle BDC             And     In Triangle BDA

a² = h² + x²     (  1  )                        c² = h² + (x-b)²

                                                      c² = h² + x² + b² - 2xb   ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

or, c² = a² + b² - 2xb                    .....(3)

Again in ΔBDC

cos C = \frac{BD}{BC}

Or, cos C = \frac{x}{a}

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}      Proved   Answer

6 0
2 years ago
Which of the following is true?<br> 3 ^-1 ___ 1/4
timofeeve [1]

Answer:

3^-1 > 1/4

Step-by-step explanation:

3^-1 = 1/3

1/4 = 1/4

1/3 = 0.3333

1/4 = 0.25

0.3333>0.25

3^-1 > 1/4

3 0
3 years ago
ron wants to buy a videoo game with a selling price of $48 on sale for 50% off. the sales tax in his state is 4.5% A)how much wi
levacccp [35]
48 * .5 = 24

24 the amount of money discounted off the price

Therefore it would be 48 - 24 = 24, but then comes the sales tax.

Do 24 * .045 = 1.08

1.08 is the amount of tax owed on the game so you'd do

24 + 1.08 = 25.08


A) The total cost for the game is 25.08


B) Unfortunately he is short by 8 cents and won't be able to buy the video game he wants.
8 0
3 years ago
Someone help me simplify this 3t+12-9=
blondinia [14]

it's simple

3t+3

just this

7 0
3 years ago
Read 2 more answers
A wire is to be cut into two pieces. One piece will be bent into an equilateral triangle, and the other piece will be bent into
melisa1 [442]

⠀⠀⠀⠀⠀⠀⠀⠀⠀Stolen from GoogIe :p

7 0
2 years ago
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