Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

6 0

2 years ago

Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost

Reptile [31]

Answer:

$12.80

Step-by-step explanation:

Before markup: $8

After markup: $8 x 160% = $12.80

This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!

6 0

2 years ago

Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.

Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 | 1 4 6 -36

1 6 18 0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0

2 years ago