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yaroslaw [1]
3 years ago
7

Simplify the expression: sinx+cosx/sinxcosx

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Sin x + \frac{cos x}{sinx cosx}
= sinx + \frac{1}{sin x}
=sin^{2}x +1
=cos^{2} x 
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Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have
mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

P =\dfrac{48}{52} = 0.92

4 0
2 years ago
A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= \pi r^{2} h/3

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi

To find the number of times we divide new volume with the old volume

N= 960\pi /120\pi \\\\N= 8

8 0
3 years ago
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2 years ago
Solve the inequality:
yarga [219]

Answer:

its A

Step-by-step explanation:

Because m > 6/7. and if you do the sloving it will be 2 or greater

Hope that helped

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