There is only two multiples of three on a six-sided die, the 3 side, and the 6 side.
3 x 20 = 60
6 x 20 = 120
120 + 60 = 180
$180.00 is your possible winnings total, but the question asks for your expected value on EACH roll, so you divide 180 by 6(sides on a die) to get your final answer
180/6 = 30
ANSWER: D. $30.00
Commutative property of multiplication
Answer: 1 and 2/3
Step-by-step explanation:
Imagine 3 1/3 as if it’s in parenthesis as (3 + 1/3)
Subtract three from five.
You should get two.
Then you subtract the last 1/3 from that two.
There are three thirds in one digit.
Therefore, two thirds are left over, plus that last whole digit.
You are left with one and one third.
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
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we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°