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3 years ago

A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Convert rev/min to radians per min:

(7 rev/14 min) * (2pi rad/1 rev) = pi radian/min

Convert rad/min to rad/sec. This is the angular velocity:

(pi rad/min)*(1min/60 sec) = pi/60 rad/sec

Linear velocity = angular velocity * radius

(pi/60 rad/sec) * 30ft = 0.5pi ft/sec

Convert ft/sec to in/sec:

(0.5pi ft/sec) * 12 in/1 ft = 6pi in/sec

I HOPE IT HELPS 

HAVE A GREAT DAY

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Order these numbers from least to greatest. 6.09, 6.009, 6.5071, 6.5

Savatey [412]

Answer:

6.009,6.09,6.5,6.5071

Step-by-step explanation:

3 0

3 years ago

If a is an integer and n is a positive integer, we define a mod n to be the remainder when a is divided by n. The integer n is c

dezoksy [38]

Answer:

Divisor

Step-by-step explanation:

Given

$a\ mod\ n$

Required

What does n represents

In arithmetic, the number that divides another is referred to as divisor;

Take for instance;

$5\ mod\ 3 = 2$

This implies that when 5 is divided by 3, the remainder is 2

The bold text (divided by 3) means that 3 is the divisor of 5;

When compared to $a\ mod\ n$

We have that

n = 3

Reason being that, n and 3 are in the same position base on order of appearance;

Hence, n represents the divisor

4 0

3 years ago

Answer pls thank you

frosja888 [35]

Answer:

d = 5/6t

Step-by-step explanation:

5 stories every 6 seconds

at 12 seconds, it would have travelled 10 seconds.

using this 2 data in this formula

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

Note : d = y, t = x;

d1 = 5, t1 = 6, d2 = 10, t2 = 12

we have

(d - 5)/(t-6) = (10-5)/(12-6)

(d - 5)/(t-6) = 5/6

d = 5/6(t-6) + 5

d = 5/6t -5+5

d = 5/6t

7 0

2 years ago

The Apple harvest produced 2,350kg of Apple's. A farmer packs 36 apples in the box. One apple weighs approximately 250 grams how

jenyasd209 [6]

Answer:

Step-by-step explanation:

The total number of apples produced at the apple harvest is 2,350kg.

1 kg = 1000 grams. Therefore,

2350 kg = 2350 × 1000 = 2350000kg

A farmer packs 36 apples in the box. If one apple weighs approximately 250 grams, the total weight of 36 apples would be

36 × 250 = 9000 grams

Therefore, the number of boxes that are needed to pack the apples would be

2350000/9000 = 261.11

It means that 262 boxes would be needed.

5 0

2 years ago

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

attashe74 [19]

Answer: $\frac{11}{15}$

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

$LCM=5*3=15$

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

$\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}$

7 0

3 years ago