All categories

2 years ago

Factor Completely: 2x2 - 72y72y

Mathematics

1 answer:

Anarel [89]2 years ago

8 0

-72yexponet73 + 2xexponet2 :)

You might be interested in

in a candy store a $5 jar of candy is labeled 50% off what is the discount what is the sale price of the jar of candy

beks73 [17]

The sale price would be $2.50.

3 0

2 years ago

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Ipatiy [6.2K]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

also read similar questions: If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

brainly.com/question/12618768?referrer

if cos θ -sin θ =1, find θ cos θ +sin θ?

brainly.com/question/88125?referrer

7 0

2 years ago

Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the pr

Black_prince [1.1K]

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

<h3>How to estimate the probability</h3>

To calculate the probability, we make use of the following representations:

Event A represents the likelihood of thinking of a song
Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056