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2 years ago

A wheel rolling at a constant speed has a radius of 15 inches and takes 30

Mathematics

1 answer:

dezoksy [38]2 years ago

6 0

Answer:

152.87 degree/seconds

Step-by-step explanation:

1 rotation = Circumference of a circle = 2πr

r = 15 inches

1 rotation = 2 × 3.14 × 15

94.2 inches.

We are told in the question that it takes 30 seconds to roll 100 feet along the ground

Convert feet to inches

1 feet = 12 inches

100 feet =

100 × 12 = 1200 inches.

Hence, if

94.2 inches = 1 rotation

1200 inches = X

Cross multiply

94.2 × X = 1200 × 1

94.2X = 1200

X = 1200/94.2

X = 12.738853503 rotations

Formula for Angular velocity = Number of rotations × 2π/time in seconds

Time = 30 seconds

12.738853503 × 2 × 3.14/30

= 2.6666666667 rotations per second

Converting Angular velocity to degree per second

= 2.6666666667 × 180/ π

= 2.6666666667 × 180/3.14

= 152.86624204 degree/seconds

Approximately to 2 decimal places

= 152.87 degree/seconds

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Aleksandr-060686 [28]

Answer:

A weak negative correlation

Step-by-step explanation:

$correlation, r = \frac{∑(y-\alpha)(x-\beta }{\sqrt{∑(y-\alpha)^2∑(x-\beta )^2 } }$

where,

$\alpha = \frac{∑y}{n} \\\beta =\frac{∑x}{n} \\∑ = summation$

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$therefore,\\\\r= -0.12924$

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2 years ago

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Why the order of the coordinates does not matter when calculating length

Rudiy27

The formula for calculating length is:
$\sqrt{ (x_b-x_a)^{2} + (y_b-y_a)^{2} }$

We can also write $x_a - x_b$ or $y_a - y_b$
Why it does not matter?
Let's assume we have 2 numbers, a and b.
When we perform a subtraction:
$a-b$ , we get another number $c$
When we perform another subtraction:
$b-a$ , we get a number $-c$

When we raise $c$ or $-c$ to the power of 2, the result is the same, $c^{2}$ .

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2 years ago

Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d

Kitty [74]

Answer:

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Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not. If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99. If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!). The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

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2 years ago

Nicole sells T-shirts, t, for $7.50, and sells sweatshirts, s, for $15. She earns

Elodia [21]

An equation that would represent the relationship between cost and revenue would be: 7.50t + 15s = 525

Hope this helps!! :)

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2 years ago

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