What is the equivalent fraction for 21/8?

1 answer:

6 0

There are infinite equivalent fraction can be obtained just multiple by any number to both numerator and denominator and you will find equivalent fraction !

as 42/16, 63/24 etc

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What is 4 divided by 3/4?

musickatia [10]

Answer:

16/3 or 5.33

Step-by-step explanation:

Cross multiply

4/1 * 3/4

4 * 4 = 16

3 * 1 = 3

6 0

2 years ago

The cost of highlighters is proportional to the number of highlighters purchased. If a 4-pack of highlighters costs $2.40, what

Kaylis [27]

Answer:

$0.60 per highlighter

Step-by-step explanation:

You just do $2.40/4 and you get $0.60

5 0

3 years ago

Solve the equation 2cosA = 3tanA

zavuch27 [327]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\\\\
-----------------------------\\\\

2cos(A)=3tan(A)\implies 2cos(A)=3\cfrac{sin(A)}{cos(A)}
\\\\\\
2cos^2(A)=3sin(A)\implies 2[1-sin^2(A)]=3sin(A)
\\\\\\
2-2sin^2(A)=3sin(A)\implies 2sin^2(A)+3sin(A)-2$

$\bf \\\\\\
0=[2sin(A)-1][sin(A)+2]\implies 
\begin{cases}
0=2sin(A)-1\\
1=2sin(A)\\
\frac{1}{2}=sin(A)\\\\
sin^{-1}\left( \frac{1}{2} \right)=\measuredangle A\\\\
\frac{\pi }{6},\frac{5\pi }{6}\\
----------\\
0=sin(A)+2\\
-2=sin(A)
\end{cases}$

now, as far as the second case....well, sine of anything is within the range of -1 or 1, so -1 < sin(A) < 1

now, we have -2 = sin(A), which simply is out of range for a valid sine, so there's no angle with such sine

so, only the first case are the valid angles for A

8 0

3 years ago

Does anybody knows this?

Stella [2.4K]

1st one :D I hope you have a good day/night!

3 0

3 years ago

Read 2 more answers

Austin is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Austin need to b

IgorLugansk [536]

You have to find 60% of 120, which is 72. Then subtract 72 from 120 to find the difference, which is 48. So Austin would need $48 to buy the bike. Hope this helped! :)

6 0

3 years ago