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ad-work [718]
3 years ago
13

You roll one 6-sided die what is the probability of a 3 given you know the number is odd​

Mathematics
1 answer:
allochka39001 [22]3 years ago
8 0

Answer:

1 out of 3

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
3 years ago
Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
galina1969 [7]

Answer:

2 sin^2 \theta

Step-by-step explanation:

According to the scenario, the following information is given:

= \frac{sec^2 \theta - 1 }{sec^2 \theta}

= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)

= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta

Therefore for the given equation, the answer is 2 sin^2 \theta

5 0
3 years ago
2. Maria has a garden that is 6 feet by 4 feet. What is the perimeter of Maria's garden?
Anton [14]

Answer:

  = 20 ft

Step-by-step explanation:

The perimeter is found by

P = 2(l+w)

  = 2(6+4)

   =2(10)

  = 20 ft

8 0
3 years ago
Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
jolli1 [7]

Answer:

55 - 3m

Step-by-step explanation:

Sarah has $55

Her expenses are 3 shirts priced at $m each.

Total cost of 3 shirts at $m each would be the multiplication of each:

3 * m = 3m

The amount of money Sarah has left would be the total she had MINUS what she spent on 3 shirts. That would be:

Remaining Money = 55 - 3m

5 0
3 years ago
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