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timurjin [86]
2 years ago
13

Prove that a positive integer is a sum of at least two consecutive positive integers if and only if it is not a power of two.

Mathematics
1 answer:
geniusboy [140]2 years ago
3 0

Answer:

45

Step-by-step explanation:

small brain

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I would say d sorry if wrong
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Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate
kotykmax [81]
1 foot
2 feet
3 feet
4 feet
6 0
4 years ago
Can someone help me with all of these questions please
geniusboy [140]

Answer:

1. 14 ft

2. 72 in

3. 11 ft, 28 ft

4. 8 in, 96 in

Step-by-step explanation:

1. The area of a rectangle = length x width. The area is 28 sq ft and the width is 2ft, therefore:

28 = length x 2

length = 28/2 = 14 ft.

2. The perimeter is (length x 2)+(width x 2). The perimeter is 86 in and the length is 25 in, therefore:

86 = (25 x 2) + (width x 2) = 50 + (width x 2)

36 = width x 2

36/2 = width = 72 in.

3. The area is 33 sq ft and the width is 3 ft, therefore:

33 = length x 3

33/3 = length

length = 11 ft

The perimeter is (length x 2)+(width x 2), therefore:

p = (11 x 2) + (3 x 2) = 22 + 6 = 28 ft.

4. The perimeter is 40 in and the length is 12 in, therefore:

40 = (12 x 2) + (width x 2) = 24 + (width x 2)

40 - 24 = width x 2 = 16

width = 16/2 = 8 in.

The area is length x width, therefore:

Area = 12 x 8 = 96 in.

8 0
3 years ago
An alarm rings 8 times every 5 seconds
serious [3.7K]

Answer:

B

Step-by-step explanation:

8/5=1.6

7 0
3 years ago
Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°
Montano1993 [528]

Answer:

  • 3/4

Step-by-step explanation:

<u>Given </u>

  • cosθ = 4/5
  • 0° ≤ θ < 90°

<u>In the first quadrant both sine and cosine are positive, so as tangent.</u>

  • tanθ = sinθ / cosθ =
  • \sqrt{1 - cos^2}θ / cosθ =
  • \sqrt{1 - (4/5)^2} / 4/5 =
  • \sqrt{9/25} / 4/5 =
  • 3/5*5/4 =
  • 3/4
4 0
3 years ago
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