The first thing we must do is calculate the circumeference:
now, calculate the angle of arc
360° = 49.612
360° - 66.4° - 180° = x
x = 113.6°
now, to calculate the arc length it would be:
Answer:
Option C.
Step-by-step explanation:
Equation of the parent function graphed in the figure is,
G(x) = x²
By reflecting the parent function over the x-axis,
G'(x) = -x²
By shifting G'(x) by 2 units down over the y-axis,
f(x) = -x² - 2
Therefore, transformed form of the parent function will be
f(x) = -x² - 2
Therefore, Option C will be the answer.
Answer:
Fish Tank
Step-by-step explanation:
This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.
Answer:
P=0.00564
Step-by-step explanation:
From Exercise we have 52 cards.
We calculate the number of combinations to draw 5 cards from a deck of 52 cards. We get
{52}_C_{5}=\frac{52!}{5!(52-5)!}=2598960
We now count the number of favorable combinations:
{13}_C_{1} · {48}_C_{2}= 13 · \frac{48!}{2!(48-2)!}=14664
Therefore, the probabilitiy is
14664/2598960=0.00564
P=0.00564
To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330