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Alja [10]
3 years ago
11

The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that

also has exactly three factors, what is the sum of the three factors of k
Mathematics
1 answer:
saul85 [17]3 years ago
3 0

To solve this problem, we must do a method of trial and error to find for the next highest integer with exactly three factors. We know that the value of k must be greater than 4, therefore by using trial and error to find for the correct answer:

 

Factors of 5:1, 5

Factors of 6:1, 2, 3, 6

Factors of 7:1, 7

Factors of 8:1, 2, 4, 8

Factors of 9:1, 3, 9

 

Therefore we stop at 9 since this is already our answer. It has exactly three factors.

The sum of the factors is:

sum of factors = 1 + 3 + 9

<span>sum of factors = 13</span>

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Answer:

Pretty Simple!

Now that you know about ratios and all that, this is pretty tame compared to the last problem.

Now, the problem is talking 2D(2 Dimensions)

The ratio is not going to work because it has only one parameter.

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(\frac{1}{20})^{2}  =\frac{1}{400}

Thus, we have your correct ratio.

Now, we only need to do the same thing for the triangle problem. Meaning that, we need to compare the ratios, with x as the thing we are looking for.

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Hope this helps!

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4 years ago
What is 904 divided by 16. Must show answer
bulgar [2K]

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56.5

Step-by-step explanation:

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The sum of a number and 6% of itself is 42.4. find the number
kvasek [131]

Answer:

40

Step-by-step explanation:

6% of number = 6/100 × x = 6x/100 = 3x/50

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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
alexandr1967 [171]

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

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AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

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hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

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