1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elodia [21]
3 years ago
14

At is 5/9 4/6 in simplest form?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
5/9 is already in it's simplest form

4/6 can be reduced to 2/3
You might be interested in
Joan puts $400 into a bank account. Each year the account earns 7% simple interest. How much interest will be earned in four yea
Sladkaya [172]

$60

400 ÷ 7 = 57. 1428571429

Since that's not an option we estimate it. The closest number is $60 so, there's your answer!

I hope this helps! sorry if it's wrong :(

~ Kana ^^

3 0
3 years ago
Which function is the same as y = 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2? y = 3 sine (2 (x startfraction p
kirza4 [7]

The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

<h3>How to convert sine of an angle to some angle of cosine?</h3>

We can use the fact that:

\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)

to convert the sine to cosine.

<h3>Which trigonometric functions are positive in which quadrant?</h3>
  • In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
  • In second quadrant(π/2 < θ < π), only sin and cosec are positive.
  • In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
  • In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)

Here, the given function is:

y= 3\cos(2(x + \pi/2)) - 2

The options are:

  1. y= 3\sin(2(x + \pi/4)) - 2
  2. y= -3\sin(2(x + \pi/4)) - 2
  3. y= 3\cos(2(x + \pi/4)) - 2
  4. y= -3\cos(2(x + \pi/2)) - 2

Checking all the options one by one:

  • Option 1: y= 3\sin(2(x + \pi/4)) - 2

y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2

(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.

  • Option 2: y= -3\sin(2(x + \pi/4)) - 2

This option if would be true, then from option 1 and this option, we'd get:
-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0

which isn't true for all values of x.

Thus, this option is not same as the given function.

  • Option 3: y= 3\cos(2(x + \pi/4)) - 2

The given function is y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2

This option's function simplifies as:

y= 3\cos(2(x + \pi/4)) - 2 = 3\cos(2x + \pi/2) -2 = -3\sin(2x) - 2

Thus, this option isn't true since \sin(2x) \neq \cos(2x) always (they are equal for some values of x but not for all).

  • Option 4: y= -3\cos(2(x + \pi/2)) - 2

The given function simplifies to:y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2

The given option simplifies to:

y= -3\cos(2(x + \pi/2)) - 2 = -3\cos(2x + \pi ) -2\\y = 3\cos(2x) -2

Thus, this function is not same as the given function.

Thus, the function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2

Learn more about sine to cosine conversion here:

brainly.com/question/1421592

4 0
2 years ago
Read 2 more answers
How many bottles of chocolate can you buy with $20 if one cost $4?<br> One step equation
Ulleksa [173]
You can buy 5 bottles because $4 times 5 equals $20. I hope this helps :)
6 0
3 years ago
Read 2 more answers
Find the slope of each line 2-3. please help thank you.
atroni [7]
2)
(-3, 3) (2,0)
slope = (3-0)/(-3-2) = -3/5

3)
y = 3
so slope = 0
7 0
3 years ago
I need help. the Question in in Photo
7nadin3 [17]

Answer:

I had same one so the answer is C

Step-by-step explanation:

♦I hope this helps you also please mark brainliest ♦

♦☻☺Thanks☺☻♦

6 0
2 years ago
Other questions:
  • At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales
    9·1 answer
  • 5. What is the next number in the pattern below? Explain how you found the pattern. 4 8 12 16
    6·1 answer
  • a shopkeeper fixed the marked price of his television to make a profit of 40% . Allowing 20% discount on marked price the televi
    10·1 answer
  • prove tan(theta/2)=sin theta/1+cos theta for theta in quadrant 1 by filling in the calculations and reasons. PLEASE HELP!!!!
    15·1 answer
  • PLEASE HELP ASAP!! HIGHLY APPRECIATED!! THANK YOU!! 15 POINTS!!
    10·1 answer
  • 3/8 5/8 4/8 2/8 7/8 from least to greatest. (2) 1/2 1/4 1/6 1/3 1/5 from least to greatest (3) 1/5 4/5 1/10 6/10 7/10 from least
    15·1 answer
  • Your answer must be simplified. Solve for x
    12·2 answers
  • A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble
    6·1 answer
  • 12%of72 is what number
    15·1 answer
  • A conjecture and the two-column proof used to prove the conjecture are shown.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!