Find sample space
step 1: pick one marbles from 5. there are 5 ways (5C1)
step 2: toss a cube one time, 1-6. there are 6 ways (6C1)
total ways (sample space) = 5x6 = 30
... multiplication rules
find event
step 1: pick one blue marbles from 2. there are 2 ways (2C1)
step 2: toss a cube one time, get only 1 or 2. there are 2 ways (2C1)
total ways for event = 2x2 = 4
p(event) = n(event)/n(sample space) = 4/30
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer:
Step-by-step explanation:
7x + 14 = 14 x + 7
-7x = -7
x = 1 (one solution)
~~~~~~~~~~~~~~~~~
5 x + 8 = 8 + 5 x
0 =0 (infinite solutions)
~~~~~~~~~~~~~~~~
9x = 9 x + 5 17
0 = 517 (no solution)
The formula for an area of a circle is A= pi(r)^2
so if you plug in 5 to r (because it’s the radius) you should get A= 78.5
The answer is B as the coefficient represents the number of legs
