Step-by-step explanation:
The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.
In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)
Answer:
5 cars
Step-by-step explanation:
If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.
Answer:
$167.20
Step-by-step explanation:
0.18 x 130 = $32.4 (this is what they tipped)
the total now stands at $153.4 before tax
now to work out the tax you multiply the decimal of 9% by $153.4
0.09 x 153.4 = 13.8
the total cost of the meal is $167.20
Answer:
<em>P(3) = 0</em>
Step-by-step explanation:
<u>Factor Theorem is a consequence of Remainder Theorem. </u>
Remainder Theorem states that if polynomial f(x) is divided by a binomial (x - a) then the remainder is f(a).
Factor Theorem states that if f(a) = 0, then the binomial (x - a) is a factor of f(x).
We have the polynomial

To prove that x-3 is a factor of P, we calculate P(3):



Thus, x-3 is a factor of P(x)