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2 years ago

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one half of the birds at the pet store are yellow. Tara buys one of the birds. Then one third of the birds at the pet store are

yellow. How many yellow birds were at the pet store before Tara bought one? explain how u know

1 answer:

Sati [7]2 years ago

7 0

Well, y=ny
2(y-1)=ny
(where ny is not-yellow)
You get y=2y-2 or y=2. You had two yellow birds and two other types.

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If sinx = p and cosx = 4, work out the following forms :<br><br><br>

Kay [80]

Answer:

$\frac{p^2 - 16} {4p^2 + 16}$

Step-by-step explanation:

I will work with radians.

$\frac {\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)} {[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]}$

First, I will deal with the numerator

$\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)$

Consider the following trigonometric identities:

$\boxed{\cos\left(\frac{\pi}{2}-x \right)=\sin(x)}$

$\boxed{\sin\left(\frac{\pi}{2}-x \right)=\cos(x)}$

$\boxed{\sin(-x)=-\sin(x)}$

$\boxed{\cos(-x)=\cos(x)}$

Therefore, the numerator will be

$\sin^2(x)-\sin(x)-\cos^2(x)+\sin(x) \implies \sin^2(x)- \cos^2(x)$

Once

$\sin(x)=p$

$\cos(x)=4$

$\sin^2(x)-\cos^2(x) \implies p^2-4^2 \implies \boxed{p^2-16}$

Now let's deal with the numerator

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]$

Using the sum and difference identities:

$\boxed{\sin(a \pm b)=\sin(a) \cos(b) \pm \cos(a)\sin(b)}$

$\boxed{\cos(a \pm b)=\cos(a) \cos(b) \mp \sin(a)\sin(b)}$

$\sin(\pi -x) = \sin(x)$

$\sin(2\pi +x)=\sin(x)$

$\cos(2\pi-x)=\cos(x)$

Therefore,

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)] \implies [\sin(x)+\cos(x)] \cdot [\sin(x)\cos(x)]$

$\implies [p+4] \cdot [p \cdot 4]=4p^2+16p$

The final expression will be

$\frac{p^2 - 16} {4p^2 + 16}$

8 0

3 years ago

I need to know this ASAP. I will give you 25 Points and a brainly crown thing.

Lena [83]

Answer:

The answer is C.

Step-by-step explanation:

5 0

3 years ago

A fossil is found that contains 10% of the amount of carbon-14 found in a living being. About how old is the fossil?

Irina18 [472]

Answer:

C. 19,200

Step-by-step explanation:

half of a life of c-14 is

5,730

this has gone over 3.3 lives

multiply 5,730 by 3.3

you get

about the answer C

pls mark me brainliest

5 0

3 years ago

Help me pleaseeeeeeee

SVETLANKA909090 [29]

ANSWER- Quinten’s is running between 0 and 8 hours from the start time

EXPLANATION- The question asks for the domain. We know that the domain comes from the x-axis. Since we were given that the x-axis represents time (which goes from 0 to 8) the correct answer is the third choice.

3 0

3 years ago

Amara currently sells televisions for company A at a salary of $8000 plus a $90 commission for each television she sells. Compan

kondaur [170]

Let

y ----> total salary

x ----> number of television she sells

we have that

Company A

y=90x+8,000 -----> equation 1

Company B

y=50x+8,800 ----> equation 2

Equate both equations

90x+8,000=50x+8,800

solve for x

90x-50x=8,800-8,000

40x=800

x=800/40

x=20

<h2>the answer is 20 televisions</h2>

3 0

1 year ago