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2 years ago

How many fractions are equivalent to 4/5

2 answers:

6 0

There are an infinite number of them.

-- Think of any number.

-- Multiply 4 by your number. Write it on top.

-- Multiply 5 by your number. Write it on the bottom.

-- You have a new fraction that's equivalent to 4/5 .

How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to 4/5 .

denis23 [38]2 years ago

3 0

There is an infinite amount of numbers equivalent to 4/5 such as:
8/10,12/15.16/20,20/25

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

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3 years ago

Which statement is true?

gayaneshka [121]

Answer:

Option: C is the correct answer.

C. Buying a needle and buying thread are dependent events.

Step-by-step explanation:

let A denotes the events of buying a thread.

and B denote the event of buying a needle.

Then A∩B denote the event of buying a needle and a thread.

Also let P denote the probability of an event.

i.e. we are given:

P(A)=0.15

Also P(B|A)=0.25

As we know that:

$P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\i.e.\\\\0.25=\dfrac{P(A\bigcap B)}{0.15}\\\\i.e.\\\\P(A\bigcap B)=0.0375$

As we know that when two events A and B are independent then,

P(A∩B)=∅

otherwise they are dependent events.

Hence, option: C is the correct answer.

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3 years ago

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Will mark brainlyist if right please helpp!!

Len [333]

Answer:

Step-by-step explanation:

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2 years ago

Please answer number 3 I will give brainliest thank you!

vaieri [72.5K]

Answer:

Skewed to right

Step-by-step explanation:

there is no explanation, it just is, just like how 1+1 is 2

Brainleist! as you promised!

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3 years ago

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Which fraction is greater,2⁄3or1⁄3 ? How do you now?

m_a_m_a [10]

2/3 are greater and let’s say u have a pie and u cut it up in 3rds and u gave one piece to a friend and u keep the rest u will have more cause it closest to the whole and it just common knowledge

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3 years ago