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leonid [27]
2 years ago
11

the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below,

where each unit of the grid represents 3 inches in length. The team is printing out an enlargement of the new logo, where the enlargement has a height of 105 inches. The are of the enlargement will be how many inches, which is how many times the size of the original scale drawing.
Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Answer:

The enlargement will be 25 times and the enlargement area will be $2250 \text{ inches}^2$.

Step-by-step explanation:

It is given that each grid unit is equal to 3 inches. SO we have to use this scale.

The total height of the scale drawing is 21 inch and the enlargement has a height given as 105 inches. Therefore it has scale factor of 5. It means that each dimension is enlarged by 5 times the dimension in the scale drawing. So the enlargement of the logo will be 25 times and the enlargement area will be 2250 square inches.

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8 0
3 years ago
Mary drove at a constant speed of 60 miles per hour. How far would she travel if she drove for 4 hours?
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Answer:

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Step-by-step explanation

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5 0
3 years ago
? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i
Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

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