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kylee76
31.10.2019 •
Mathematics
Write the answer in simplest form- 15/24 multiples by 4 2/3
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Ответ:
Step-by-step explanation:
here ya go
Ответ:
ANSWER:
The simplest form after the multiplication of fraction 15/24 and 4 2/3 is![-2 \frac{11}{12}](/tpl/images/0354/6845/f64cc.png)
SOLUTION:
Given fraction are
and ![4 \frac{2}{3}](/tpl/images/0354/6845/13265.png)
The second fraction is given in the mixed form which can be simplified into an improper fraction for the purpose of calculation.
The improper form of the mixed fraction is![\frac{4 \times 3 + 2}{3} = \frac{14}{3}](/tpl/images/0354/6845/faf3b.png)
Now, we can multiply both the fraction to get a simpler form
On multiplying and reducing, we get,![\frac{-35}{12}](/tpl/images/0354/6845/79245.png)
Since the obtained answer is an improper fraction, this is not its simplest form.
To convert it to the simplest form we need to make it a mixed fraction.
This is done by dividing -35 by 12 till it cannot be further divided. Then the quotient is written as a whole number and the remainder forms the numerator of the mixed fraction and the divisor becomes the denominator.
Therefore the simplest form of the improper fraction is![-2 \frac{11}{12}](/tpl/images/0354/6845/f64cc.png)
Ответ:
in order to find the value of x, we'll need to use a trigonometry function. for this problem, we'll use tangent, which is opposite/adjacent.
let's set up our equation:
we know that the angle for tangent is 51, so we have tan(51).
then, we know that the opposite side is x.
next, we know that the adjacent side is 10.
therefore, our equation is tan(51) = x/10.
to solve, all we need to do is multiply both sides by 10:
x = tan(51) x 10
x = 9.03 (not rounded)
therefore, the correct answer is x = 9.0 (rounded to the nearest tenth).
hope this : )
if there's anything else that i can you with, let me know!