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lora16 [44]
2 years ago
4

In the supermarket, there is a scale that measures the weight of fruit and vegetables. The needle is 24 cm long, and it rotated

96° when Charlie placed four tomatoes on it. How far did the needle travel as it rotated?
1152π
2304π
5pi/64
64pi/5
Mathematics
1 answer:
Oduvanchick [21]2 years ago
5 0
The circular scale with
radius (r)=  24 cm
the central angle(C) = 96 deg
Using the formula
Arc length = 2pir(C/360)
Arc length = 2 pi(24 cm)(96/360)
Arc length = 64pi/5
The needle on the circular scale travelled 64pi/5 as it travel from the origin when Charlie placed four tomatoes on it.

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A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to
Lunna [17]
Tree...........................dock
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use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
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b^2 = 50000  (get square root of each)
b = 223.606  (rounded to the nearest tenth.... = 223.6



4 0
2 years ago
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William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
DiKsa [7]

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

4 0
2 years ago
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Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering
Inessa05 [86]
Year      Net Profit
1            <span>$14,250.00
2            $15,390.00
3            $16,621.20
4            $17,950.90</span>2

We need to get the increase of the net profit of the current year from the previous year.

Percentage increase = (Current year - Previous Year)/ Previous Year    * 100%

Year 2:  (15,390 - 14, 250) / 14,250   * 100% = 0.08 * 100% = 8%
Year 3: (16,621.20 - 15,390) / 15,390 * 100% = 0.08 * 100% = 8%
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Every year the net income increases by 8%. So, the net income in Year 5 will be:

17,950.90 x 1.08 = 19,386.97  Choice D.

8 0
2 years ago
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Mr. James has cylindrical beakers that measure 4 inches in diameter and are 9 inches high. What is the volume contained within t
kirill115 [55]
The equation to find the volume of a cylinder is V = pi•r^2•h.
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Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
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2 years ago
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First get the difference between the 2008 price and 1990 which is $4.02-$1.37= $2.65. Then the difference you've got which is $2.65, divide it to the current market price which is $4.02 to get the how many percentage it increased since then, $2.65/$4.02= 0.65920398 then multiply it to 100. It would be 65.92 or 66% if rounded off to whole number.
6 0
2 years ago
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