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True [87]
3 years ago
15

Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How

much more? Explain or show your reasoning.

Mathematics
1 answer:
dsp733 years ago
4 0

Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (<em>circles) </em>6.28 + <em>(squares)</em> 2 leaving you with 8.28 units sq for figure 1 and <em>(circles)</em> 4.71  + <em>(squares)</em> 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps

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lisabon 2012 [21]

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the  area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of  1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

4 0
3 years ago
Turner measured the floor of his storage unit, which is rectangular. It is 48 feet wide and 52 feet from one corner to the oppos
saveliy_v [14]

Answer:

<u>The storage unit is 20 feet long.</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:

With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.

Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²

Replacing with the real values:

Length of the storage unit ² = 52² - 48²

Length of the storage unit ² = 2,704 - 2,304

Length of the storage unit ² = 400

√Length of the storage unit ² = √400

<u>Length of the storage unit = 20 feet</u>

4 0
3 years ago
Solve for C: C-9(greater than or equal too sign)9
creativ13 [48]

Answer:

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8 0
2 years ago
Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o
nirvana33 [79]

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

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if one angle is 6º more than three times the other angle:

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Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

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4 0
3 years ago
3(x - 2) + 2 = 5(x - 3) + 9 por fa
hram777 [196]

Answer:

x = 1

Step-by-step explanation:

Given

3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides

3x - 6 + 2 = 5x - 15 + 9

3x - 4 = 5x - 6 ( subtract 5x from both sides )

- 2x - 4 = - 6 ( add 4 to both sides )

- 2x = - 2 ( divide both sides by - 2 )

x = 1

5 0
4 years ago
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