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Roman55 [17]
3 years ago
10

Are all cubes similar

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0
Yes all cubes are similar but their measurement is not similar
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Express answer in exact form.
bazaltina [42]
The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in

Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²

Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
6 0
3 years ago
Read 2 more answers
Convert 12 minutes 35 seconds to seconds<br><br>:_​
zalisa [80]

Answer:

755s

Step-by-step explanation:

60*12+35=755

This is the way

5 0
2 years ago
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On average, Gil reads 57 pages in a book each week.<br> How many pages des Gil read in 12 weeks?
Triss [41]

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

3 0
3 years ago
Lawrence bought 2/3 pound of roast beef. He used 3/4 of it to make a sandwich. How much roast beef did Lawrence use for his sand
laila [671]
You multiply 3/4 by 2/3 it equals 2/4 which equals 1/2. The answer is 1/2.
3 0
3 years ago
Read 2 more answers
Find the value of x.
marshall27 [118]

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

<em>Check</em>

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

5 0
2 years ago
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