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3 years ago

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The decimal 0.3 repeat represents 1/3. What the of number best describes 0.9 repeat, which is 3x0.3 repeat? Explain

1 answer:

disa [49]3 years ago

3 0

0.9 repeat is not 1. 0.999, nor .9999999999 are not equal to 1. If the expansion of 9’s is stopped at any finite point, the resulting fraction (for example, 0.9999 = 9,999/10,000) will never be equal to 1. Each time a 9 is added, the error decreases, but will not take the number to 1. With each 9 added, the error becomes ten times smaller. The is no number that the sequence of 9’s gets arbitrarily close to. The error would look like 1/infinity, however, it is more precise to say that the limit of the sequence is zero.

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The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between (height) and (arm span) is shown

sergeinik [125]

Answer: Mike's arm span is 7.165 cm longer than the George's one.

Step-by-step explanation:

We have that the association between height and arm span is modeled by the equation

y = 4.5 + 0.977*x

where y is height and x is arm span.

Mike is 172 cm tall, so his arm span is:

172cm = 4.5 + 0.977*x

x = (172 - 4.5)/0.977 = 171.443 cm

and George is 165 cm tall, so his arm span is:

x = (165 - 4.5)/0.977 = 164.278 cm

Then the difference between their arm span is:

171.443cm - 164.278cm = 7.165 cm

So Mike's arm span is 7.165 cm longer than the George's one.

6 0

3 years ago

James knows that when he walks, he takes about 120

Tpy6a [65]

Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

$19800feet=\frac{19800}{5280} miles=3.65miles$

hence speed of James= (distance covered by james in 1 hour)/1 hour

speed of James=3.75 miles/hour.

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7 0

3 years ago

Read 2 more answers

If tan a = 9／40<br>use trigonometric identities to find the values of sin a and cos a.

Sindrei [870]

Answer:

see explanation

Step-by-step explanation:

Given

tan a = $\frac{9}{40}$ = $\frac{opposite}{adjacent}$

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = $\sqrt{1681}$ = 41 , thus

sin a = $\frac{opposite}{hypotenuse}$ = $\frac{9}{41}$

cos a = $\frac{adjacent}{hypotenuse}$ = $\frac{40}{41}$

4 0

3 years ago

Find the distance between (1, 3) and (-2, -6) and put it in simplest radical form

GarryVolchara [31]

Answer:

$\tt 9.48$

Step-by-step explanation:

(1,3) and (-2,-6)

$\tt Distance= \sqrt{(-6-3)^2+(-2-1)^2}$

$\tt =\sqrt{9^2+3^2}$

$\tt =\sqrt{81+9} =\sqrt{90}$

$\tt Distance=\sqrt{90} =9.48$

3 0

3 years ago

Read 2 more answers

3x^3+x+2x^3-4x^2+14y-2(y+x) simplify this polynomial

Stels [109]

3x³ + x + 2x³ - 4x² - 2(y + x)
3x³ + 2x³ - 4x² + x - 2(y) - 2(x)
5x³ - 4x² + x - 2y - 2x
5x³ - 4x² + x - 2x - 2y
5x³ - 4x² - x - 2y

3 0

4 years ago