Answer:
243
Step-by-step explanation:
Whe you have a result of several possible combinations you must put the number (in this case) of possibilities (3) to the number of quantities (5), another example would be a dice (6 options) two dices (36 options) and so on.
Answer: i think it is 1/5
Answer:
The second function represents an even function; 
Step-by-step explanation:
A function f(x) is said to be even if f(x) = f(-x). All we need to do is replace x with -x in each equation, simplify it and assess whether the equation remains unchanged. If the equation is identical to the original one then it is said to be even. Another good example of an even function is the cosine function. Moreover, even functions have y-axis symmetry
Answer:
x=2
Step-by-step explanation:
3x+2=8
<em>Subtract 2 from both sides</em>
3x=6
<em>Divide both sides by 3</em>
x=2
Answer:
66.91 km^2
Step-by-step explanation:
This answer will be long:
Interior angles of hexagon sum to (4)(180) = 720 each is 120 degrees
each side is 24/6 = 4 km
area of hexagon = 12 * 1/2 2 * (2 tan60) =<u> 41.5692 km ^2 </u>
L triangle 5 = hypot leg1 = 4 leg2 = 3 area = 1/2 * 3 * 4 =<u> 6 km^2</u>
TOP triangle is 4 = hypot leg1 = 3.464 leg2 = 2
area = 1/2 * 3.464 * 2 = <u>3.464 km^2</u>
R triangle two legs = 4 area = 1/2 * 4 x 4 =<u> 8 km^2 </u>
BOTTOM triangle two sides = 4 use sin rule sin40/4 = sin 100/x
third side = 4/sin 40 * sin 100 = 6.1284 km
semi perimter = ( 4 + 4 + 6.1284) / 2 = 7.0641 km
Use Herron's rule for area =
sqrt ( 7.0641 (7.0641-4)(7.0641-4)(7.0641-6.1284) ) =<u> 7.878 km^2 </u>
<u> add all of the areas to get 66.91 km^2 (IF I made no math errors!) </u>
