Answer:
θ = 61.927
Step-by-step explanation:
Sinθ = 30/34
θ = ArcSin(30/34)
θ = 61.927
Answer:
f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12
There are
ways of drawing a 4-card hand, where

is the so-called binomial coefficient.
There are 13 different card values, of which we want the hand to represent 4 values, so there are
ways of meeting this requirement.
For each card value, there are 4 choices of suit, of which we only pick 1, so there are
ways of picking a card of any given value. We draw 4 cards from the deck, so there are
possible hands in which each card has a different value.
Then there are
total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

Answer:
Sum of interior angles of 12 sided object = 1800°
Step-by-step explanation:
Formula to calculate the sum of interior angles of a polygon is,
Sum of the interior angles of a polygon = (n - 2) × 180°
Where n = number of sides of the polygon.
If number of sides of a polygon are 12,
For n = 12,
Sum of interior angles = (12 - 2) × 180°
= 10 × 180°
= 1800°
Therefore, sum of interior angles of a 12 sided polygon will be 1800°.
Answer:
7
Step-by-step explanation:
The width is smaller, so it is 7.