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2 years ago

Express 0.32 as a fraction in simplest form. The 2 is repeating. Thanks So Much!

Mathematics

2 answers:

Lana71 [14]2 years ago

8 0

8
--- ........................................
25

Alenkinab [10]2 years ago

7 0

8
--- is the answer
25

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The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.

Paul [167]

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

5 0

2 years ago

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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

rusak2 [61]

3 0

2 years ago

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Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E

oksian1 [2.3K]

Answer:

StartFraction pi Over 3 EndFraction

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees or 2π radians

by proportion

Find out the central angle for an arc equal to One-sixth of the circumference of a circle

Let

x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference

$\frac{C}{2\pi}=\frac{(C/6)}{x}\\\\x=2\pi(C/6)/C\\\\x=\frac{2\pi}{6}$

Simplify

$x=\frac{\pi}{3}$

therefore

StartFraction pi Over 3 EndFraction

5 0

2 years ago

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Please consider the following data set. The initial row provides labels for two variables (i.e., X1 and X2). Each subsequent row

LekaFEV [45]

Answer:

There is no significant difference between the means.

Step-by-step explanation:

Given is the data set for X1 and x2 are we have to do a paired t test.

$H_0: \bar X_1 = \bar X_2\\H_a: \bar X_1 \neq \bar X_2$

(Two tailed test at 5% significance level)

Mean difference = 1.00

Std error for difference = 1.225

df=4

Test statistic = mean diff/se = 1.826

p value =0.142

Since p >0.05 our alpha we accept H0

There is no significant difference before and after averages at 5% sign. level.

3 0

2 years ago

The smaller rectangle was scaled by a factor of 2 to produce the larger figure. use the drop-down menus to show the missing dime

inessss [21]

If the rectangle is scaled by a factor of 2, it means that all of the sides are multiplied by 2. This means the length is changed from 6 to 12, and the width is changed from 2 to 4. The area however, is not 24, but 48, because BOTH the sides doubled.

5 0

2 years ago

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