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2 years ago

What are 2 ratios equivalent to 3:12

Mathematics

1 answer:

Kruka [31]2 years ago

3 0

Answer:

6/24

Step-by-step explanation:

Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.

Hope this helps you.

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What is the volume of a right circular cylinder with a diameter of 46.25 cm and a height of 18.5 cm?

alexdok [17]

Radius = 23.125 cm
Cylinder Volume = π • r² • height

Cylinder Volume = 3.14 * 23.125^2 * 18.5

Cylinder Volume = 31,064.53515625 

Cylinder Volume = 31,064.54 cubic centimeters

7 0

3 years ago

P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Mila [183]

Answer:

The polynomial is:

$p(x) = -x^3 - 2x^2 + 5x + 6$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that $x_1 = -3, x_2 = -1, x_3 = 2$ . Thus

$p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)$

$p(x) = a(x - (-3))*(x - (-1))*(x-2)$

$p(x) = a(x+3)(x+1)(x-2)$

$p(x) = a(x^2+4x+3)(x-2)$

$p(x) = a(x^3+2x^2-5x-6)$

Passes through the point (1,12).

This means that when $x = 1, p(x) = 12$ . We use this to find a.

$12 = a(1 + 2 - 5 - 6)$

$-12a = 12$

$a = -\frac{12}{12}$

$a = -1$

Thus

$p(x) = -(x^3+2x^2-5x-6)$

$p(x) = -x^3 - 2x^2 + 5x + 6$

6 0

3 years ago

Help I will gave u brilliant answer please help

JulsSmile [24]

Answer:

a) 15/8 b) 25/18

Step-by-step explanation:

a) First bring all the fractions to a common denominator (I'm going to use 8th's). 5/8 is already simplified, 1/2=4/8, and 3/4=6/8. Then, simply add the numerators and leave the denominator: $\frac{5+4+6}{8} =\frac{15}{8}$

Since this can not be simplified any further, your final answer is 15/8.

b) Start by bringing all the fractions to a common denominator (for this problem, we'll use 18th's). 2/3=12/18, 1/6=3/18, and 5/9=10/18. Then just add all the numerators and leave the denominator the same: $\frac{12+3+10}{18} = \frac{25}{18}$