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inysia [295]
3 years ago
13

5. Is 9 a factor of the following? (i) 394683 (ii) 1872546 (iii) 5172354

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
5 0

Answer:

  (i) no, remainder is 6

  (ii) no, remainder is 6

  (iii) yes

Step-by-step explanation:

A number is divisible by 9 when the sum of its digits is divisible by 9. (The process of computing the sum of digits is called "casting out 9s".) You can basically treat any 9 as though it were 0.

(i) 3+9+4+6+8+3 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(ii) 1 + 8 + 7 + 2 + 5 + 4 + 6 = 9 + 9 + 9 + 6 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(iii) 5 + 1 + 7 + 2 + 3 + 5 + 4 = 6 + 9 + 3 + 9 = 27 = 3×9. This is divisible by 9, so the number is divisible by 9. 9 is a factor.

inysia [295]3 years ago
3 0

Answer:

The answer is (iii) 5172354

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A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the
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Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

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3 years ago
During hibernation a garter snake's body temperature never goes below 3 C write and graph an inequality that represents this sit
Akimi4 [234]
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3 0
3 years ago
A rectangle has an area of 99 square in. What is the length of the long side?
OLga [1]

Answer:

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Step-by-step explanation:

Given

Area = 99

Required

The length of the longer side

Area of a rectangle is:

Area = Length * Width

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Length * Width = 99 * 1 = 99

Length * Width = 33 * 3 = 99

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List out the longer factors

L = \{99, 33, 11\}

<em>Hence, the longer length is either 99, 33 or 11 inches</em>

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Answer:

tysm

swag is forever

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Answer:

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Step-by-step explanation:

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