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n200080 [17]
3 years ago
6

A card is selected at random from a standard deck of playing cards.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

|\Omega|=52\\|A|=4\\\\P(A)=\dfrac{4}{52}=\dfrac{1}{13}

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How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6​
Ivahew [28]

9\cos(2t)=6\implies\cos(2t)=\dfrac23

Using the fact that cos is 2π-periodic, we have

\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi

That is, \cos(\theta+2n\pi)=\cos\theta for any \theta and integer n.

\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi

We get 2 solutions in the interval [0, 2π] for n=0 and n=1,

t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi

4 0
3 years ago
I will mark the brainiest! Please, and thanks! :)
Contact [7]
The best thing is to have a ruler with the appropriate units to construct these triangles;)

8 0
3 years ago
I need some help with this Math problem.​
Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

D. violates the Law of Sines.

5 0
2 years ago
F(x)=-x^(2)+6 find(-1)
kap26 [50]

Answer:

Step-by-step explanation:

When,x= -1

Now,

f(-1)=-(-1)^2+6

=1+6

=7

Hope it helped you.

7 0
2 years ago
What is the value of H only answer if you know for sure it's correct thank you:)
Ostrovityanka [42]

Answer:

8\sqrt{2}\ units.

Step-by-step explanation:

Use the trignometric property.

sin\theta = \frac{Perpendicular}{Hypotenuse}

Perpendicular = 8

Hypotenuse = h

\theta = 45^{\circ}

sin\ 45^{\circ} = \frac{1}{\sqrt{2}}

\frac{1}{\sqrt{2}} = \frac{8}{h}

h = 8\sqrt{2}\ units

Hope I helped you! x

4 0
3 years ago
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