What is the prime factorization of 195

5 x 3 x 13

Step-by-step explanation: To find the prime factorization of 195, first create a factor tree with two branches.

Since 195 end in 5, we begin by dividing 195 by 5 which gives us 39 so this means that 5 and 39 are factors of 195. This means that we write a 5 and 39 at the bottom of the branches. Since 5 is a prime number, we circle the 5.

Since 39 is not prime, we draw two new branches. 39 divided by 3 is 13 so 3 and 13 are factors of 39 which means that we write 3 and 13 at the bottom of the branches. Since both 3 and 13 are prime, we circle both numbers.

Now, since we have circles at the bottom of all of or branches, we are finished.

So the prime factorization of 195 is 5 × 3 × 13.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6