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Dimas [21]
3 years ago
6

Which fraction is in reduced form? 4/21 42/54 18/27 2/10

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5

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3 years ago
An automobile engineer is revising a design for a conical chamber that was originally specified to be 12 inches long with a circ
uranmaximum [27]
\bf \textit{volume of a con}\\\\
V=\cfrac{\pi r^2 h}{3}\qquad 
\begin{cases}
h=height\\
r=radius=\frac{diameter}{2}\\
d=diameter\\
----------\\
d=5.7\\
r=\frac{5.7}{2}=2.85\\
h=12
\end{cases}\implies V=\cfrac{\pi 2.85^2\cdot 12}{3}\\\\
-------------------------------\\\\

\bf \textit{now, that's the original, now, let's scale "r" and "h" by 1.5}
\\\\\\
V=\cfrac{\pi r^2 h}{3}\qquad
\begin{cases}
r=2.85\cdot 1.5\\
h=12\cdot 1.5\\
----------\\
r=4.275\\
h=18
\end{cases}\implies V=\cfrac{\pi \cdot 4.275^2\cdot 18}{3}
3 0
3 years ago
I need a little help. Stuck in the problem in khan academy and can’t really find and answer. 6 x 4 + 2 x 9/3
Aliun [14]

Answer:

the answer is 30

Step-by-step explanation:

1: (6*4)+(2*9/3)

2: (6*4)+(2*3)

3: 24+6

4: 30

6 0
3 years ago
Read 2 more answers
the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
3 years ago
Read 2 more answers
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