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3 years ago

Your class starts at 12:12PM and ended at 12:50PM what angle did the minute hand of watch sweep through during the class

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

we know that

12:50PM-12:12PM=38 minutes

30 minutes in the minute hand of watch is equal an angle of 180 degrees

by proportion

30/180=38/x-------> 30*x=180*38--------> x=180*38/30------> x=228°

therefore

the answer is

228 degrees

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A wedge of cheese in the shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpen

Rina8888 [55]

Answer:

480 cubic cm.

Step-by-step explanation:

We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.

$\text{Volume of triangular prism}=\text{Base area*Height of the wedge}$

We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.

Substituting these values in volume formula we will get,

$\text{Volume of cheese wedge}=\frac{1}{2}*\text{10 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=\text{5 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=480\text{cm}^3$

Therefore, the volume of cheese wedge will be 480 cubic cm.

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3 years ago

Alaska has a coastline of about 6.64 thousand miles. Florida has about 1.35 thousand miles of coast. How many times more does Al

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Alaska has 4.91851852 thousand miles more than Florida coastline

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3 years ago

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Which set of sides would make a right triangle?

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s

liraira [26]

Answer:

The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

5x + 10y = 1,750

1/3x + 1/2y = 100

x = number of short-sleeved shirts ordered

y = number of long-sleeved shirts ordered

Resolving the 1st equation:

5x + 10y = 1,750

5x = 1,750 - 10y

x = 350 - 2y (Dividing by 5 at both sides)

Resolving the 2nd equation:

1/3x + 1/2y = 100

1/3 (350 - 2y) + 1/2y = 100

350/3 -2y/3 + 1/2y = 100

700 - 4y + 3y = 600 (Lowest common denominator = 6)

-y = 600 - 700 (Subtracting 700 at both sides)

y = 100 (Dividing by - 1)

Finding the value of x in the 1st equation:

5x + 10 (100) = 1,750

5x + 1,000 = 1,750

5x = 1,750 - 1,000 (Subtracting 1,000 at both sides)

5x = 750

x = 150 (Dividing by 5)

2. Proving that x = 150 and y = 100 are correct

1/3x + 1/2y = 100

1/3 * 150 + 1/2 * 100 = 100

150/3 + 100/2 = 100

50 + 50 = 100

100 = 100

We proved that x = 150 and y = 100 are correct

6 0

3 years ago