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notsponge [240]
2 years ago
7

Find the smallest positive integer that is greater than $1$ and relatively prime to the product of the first 20 positive integer

s. Reminder: two numbers are relatively prime if their greatest common divisor is 1.
Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

Answer:

23

Step-by-step explanation:

since the number is relatively prime to the product of the first 20 positive numbers

It number must not have factor of (1-20)

Therefore the smallest possible number is the next prime after 20

Answer is 23

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Answer:

460

Step-by-step explanation: multiply all numbers to get your answer

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3 years ago
Find the lateral surface area of a
balandron [24]

Answer:

15.1 mm²

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

(where r is the radius and h is the height)

Given:

  • r = 1.2 mm
  • h = 2 mm

Substitute given values into the formula:

⇒ Lateral surface area = 2π(1.2)(2)

                                      = 4.8π

                                      = 15.1 mm²  (nearest tenth)

5 0
2 years ago
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

#SPJ1

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