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butalik [34]
3 years ago
6

Given that a couple decides to have 3 children, none of them adopted. Find sample space s.

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0
Need more information on this .. I could help I'm great at math
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Find the indicated side of the triangle
Vadim26 [7]

Answer:

7√2

Step-by-step explanation:

Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7,  you can find the length of b with:

7 / b = sin(π / 4)

7 / (sin(π / 4)) = b

b = 7 / (1 / √2)

b =7√2

A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:

a² + 7² = b²

Since we know a = 7,

7² + 7² = b²

b = √(2 * 49)

b = 7√2

8 0
3 years ago
Cos y/ 1-sin y= 1+sin y/cos y. Verify the identity. Show All Steps!
Vlada [557]

Answer:

When proving identities, the answer is in the explanation.

Step-by-step explanation:

\frac{\cos(y)}{1-\sin(y)}

I have two terms in this denominator here.

I also know that 1-\sin^2(\theta)=\cos^2(theta) by Pythagorean Identity.  

So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here.  There will be other problems will you have to do this.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

Big note here: When multiplying conjugates all you have to do is multiply fist and last.  You do not need to do the whole foil.  That is when you are multiplying something like (a-b)(a+b), the result is just a^2-b^2.

Let's do that here with our problem in the denominator.

\frac{\cos(y)}{1-\sin(y)} \cdot \frac{1+\sin(y)}{1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{(1-\sin(y))(1+\sin(y)}

\frac{\cos(y)(1+\sin(y))}{1^2-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{1-\sin^2(y)}

\frac{\cos(y)(1+\sin(y))}{cos^2(y)}

In that last step, I apply the Pythagorean Identity I mentioned way above.

Now You have a factor of cos(y) on top and bottom, so you can cancel them out.  What we are really saying is that cos(y)/cos(y)=1.

\frac{1+\sin(y)}{cos(y)}

This is the desired result.

We are done.

6 0
3 years ago
Squeezy fruit drink is 36% pure orange juice and 64% water, if 1 L of Squeezyfruit drink is mixed with 600 mL of water what is t
frez [133]
1 L, or 1000 mL, of the drink contains 360 mL juice. If there is a total of 1600 mL, we have 360/1600=9/40 (or .225) as the concentration of juice.
3 0
3 years ago
Find the height of the cylinder whose radius is 7cm and tsa is 96cm2
Advocard [28]

Answer:

0.62

Step-by-step explanation:

Height = Volume / πr²

7 0
3 years ago
Which equation has a constant of proportionality equal to 3333?
muminat

Answer:B

Step-by-step explanation:

y=13xy=\dfrac{1}{3}xy=31​xy, equals, start fraction, 1, divided by, 3, end fraction, x

7 0
3 years ago
Read 2 more answers
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