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lions [1.4K]
3 years ago
5

Mandana is ordering new tile for her kitchen floor. The area of the floor is 117.7 square feet, and she wants to order between 1

5% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
Mathematics
2 answers:
Natasha2012 [34]3 years ago
6 0
To find a percentage increase of 15%, you can multiply the original value by 1.15.
To find a percentage increase of 20%, you can multiply the original value by 1.2.

117.7 * 1.15 = 135.355
So if she orders 15% extra tile, she will order around about 135.355 square feet.

117.2 * 1.2 = 141.24
And if she orders 20% extra tile, she will order around about 141.24 square feet.

Any number between those two values will be the amount of tile she might order.
Pavlova-9 [17]3 years ago
4 0

Answer:

137 square feet

Step-by-step explanation: First, convert the percents to decimals to simplify the calculation.

15% = 15 ÷ 100

= 0.15

   

20% = 20 ÷ 100

= 0.2

Next, multiply the area of the floor by 0.15 and 0.2 to find the least and greatest amount of extra tile Mandana should order.

0.15 × 117.7 square feet = 17.655 square feet

   

0.2 × 117.7 square feet = 23.54 square feet

Then, add the amounts of extra tile to 117.7 square feet to find at least and at most how much tile she should order.

117.7 square feet + 17.655 square feet = 135.355 square feet

   

117.7 square feet + 23.54 square feet = 141.24 square feet

So, Mandana should order between 135.355 square feet and 141.24 square feet of tile.

Therefore, 137 square feet is a reasonable amount of tile for Mandana to order.

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Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

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We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

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∴ The length of the hypotenuse of the Δ = 50 feet

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∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

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Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

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∴ 14 = leg

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You can learn more about the right triangle in brainly.com/question/1238144

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Step-by-step explanation:

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Step-by-step explanation:

We have given,

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Again using Pythagoras theorem,

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44.8²= (7√39)²+ (x+4)²

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