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2 years ago

Write equivalent fractions for

Mathematics

1 answer:

Andreas93 [3]2 years ago

4 0

If you want fractions that are similar to the two fractions you have:

Because the fractions are already in their simplest form, you can continue to multiply the numerator (top number) and the denominator (bottom number) by two (one whole), which is represented by 2/2.

1/6 = 2/12 = 4/24...

1/9 = 2/18 = 4/36...

If you want to have the same value for each fraction but have the same denominator:

(1/6)(9/9) = 9/54

(1/9)(6/6) = 6/54

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Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

5 0

1 year ago

Plz help plz asap lol HAHAHA plz

NISA [10]

Answer:

Mario ate 27.27% of her cookies

8 0

2 years ago

A man jogs to the shop and back in half an hour on the way he jogs at 4m/s and on the way back he jogs at 5m/s ignoring time spe

pochemuha

Ratio 4:5
There are 9 total.
30 mins = 1800 secs.
1800 divided by 9 = 200
200 secs = 3mins 20secs
200 is one "part" of the ratio, so multiply it by 4, then 5
800:1000
This is the important one
V
13mins, 20secs: 16mins 40secs
Distance is speed x time,
16mins x 4 = 64
40 secs = 2/3
x 4 = 1.6666
Distance to shop - 65.6m

5 0

2 years ago

A hair salon uses 4 bottles of shampoo for every 3 bottles of conditioner

liraira [26]

Answer:

4 8 12 16

3 6 9 12

Step-by-step explanation:

8 0

2 years ago

How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?

BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

$\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}$

Where n = 8 and r = 0,1....8

When r = 0

$\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1$

When r = 1

$\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 2

$\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8$

When r = 3

$\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 4

$\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70$

When r = 5

$\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 6

$\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28$

When r = 7

$\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 8

$\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1$

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

3 0

2 years ago