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In-s [12.5K]
3 years ago
8

How to find the reference angle of -11pi/3 ? 

Mathematics
2 answers:
Katarina [22]3 years ago
6 0
Just replace π by 180°

\boxed{-\frac{11\pi}{3}=-\frac{11*180}{3}=-660^o=60^o}
umka21 [38]3 years ago
5 0
- \frac{11 \pi }{3}  \\  \\ =- \frac{11*180}{3}  \\  \\ =- \frac{1980}{3}

=-660 °

<u>= 60 °</u>
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Joyce painted 4 window frames in 5 hours while earning money for college.
Art [367]

Answer:

4/5 frames/h

Step-by-step explanation:

Find the ratio frames per hour by dividing frames by hours:

(4 frames)/(5 hours) = (4/5) frames/hour

6 0
3 years ago
If f(2)=9 and f(-1)=14, write a linear function that fits this scenario. Be sure to use proper notation. HELP!!
olya-2409 [2.1K]

Answer:

The required linear function is: f(x) = $ \frac{-5}{3}x + \frac{37}{3} $

Step-by-step explanation:

We are given that f(x) is a linear function and it takes the value 9 when x = 2 and 14 when x = -1.

Now the general form of any linear function is: f(x) = ax + b.

Substituting these values in the general form we get:

f(2) = 9  = 2a + b

f(-1) = 14 = -a + b

Solving these two equations we get:

b = 37/3

Substituting this in the second equation to find 'a'.

a = -5/3

Therefore, the function f(x) = $ \frac{-5}{3} $x + $ \frac{37}{3} $.

4 0
3 years ago
You roll a single die numbered from 1 to 6 twice. The probability of rolling an even number the first time and a 6 the second is
Arlecino [84]

Answer:

<h2>The answer is 50%</h2>

Step-by-step explanation:

step one :

first and foremost we are going to list the sample space related to a die

the same space is  S= {1,2,3,4,5,6}= 6

step two:

now the even numbers in the sample space are ={2,4,6}= 3

hence we can solve for the probability of obtaining an even number to be

Pr(even number)= 3/6= 1/2.

step three:

since we are to provide the answer in percentage format, we can easily do this by multiplying the answer by 100 to get the percentage

(1/2)*100= 0.5*100= 50%

7 0
3 years ago
Please help quickly, it’s more than one answer
fiasKO [112]

Answer:

It is B, D and F

Step-by-step explanation:

because red 2 is very specific and not putting it back in the deck makes it independent

6 0
3 years ago
Read 2 more answers
I need help figuring out what I did wrong
rewona [7]

Answer:

D

Step-by-step explanation:

Using the addition formula for sine

sin(a + b) = sinacosb + cosasinb

and the exact values

sin(\frac{\pi }{4} ) = cos(\frac{\pi }{4} ) = \frac{\sqrt{2} }{2} , cos(\frac{\pi }{6}) = \frac{\sqrt{3} }{2} , sin(\frac{\pi }{6}) = \frac{1}{2}

Note that \frac{5\pi }{12} = \frac{\pi }{4} + \frac{\pi }{6} , thus

sin(\frac{5\pi }{12})

= sin(\frac{\pi }{4} + \frac{\pi }{6} )

= sin(\frac{\pi }{4})cos(\frac{\pi }{6} ) + cos(\frac{\pi }{4})sin(\frac{\pi }{6})

= ( \frac{\sqrt{2} }{2} × \frac{\sqrt{3} }{2} ) + ( \frac{\sqrt{2} }{2} × \frac{1}{2} )

= \frac{\sqrt{6} }{4} + \frac{\sqrt{2} }{4}

= \frac{\sqrt{6}+\sqrt{2}  }{4} → D

4 0
3 years ago
Read 2 more answers
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