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 $a^2-b^2$ .