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Mathematics

1 answer:

Contact [7]3 years ago

6 0

Answer:

15 outcomes

Step-by-step explanation:

the balls are all the same so the only differenciating thing is how many balls are in each individual box.

The boxes can have

0,0,4 3 possibilities

0,1,3 6 possibilities

0,2,2 3 possibilities

1,1,2 3 possibilities

So that are 15 unique outcomes

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

3 years ago

What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?

swat32

The answer would be 1017.88 in³. Use the volume for cones ( 1/3 times pi times radius times height) so 1/3*3.14*9*12 in which would be 1017.88 in³ hope it helps!

4 0

3 years ago

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4 years ago

Select the correct answer. Which table represents a linear function? NEED ASAP

Zarrin [17]

Answer:

Step-by-step explanation: