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:
m∠BOC = 40°
Step-by-step explanation:
Given O A ‾ ⊥ O C ‾ OA ⊥ OC m∠BOC=6x−6 ∘
m∠AOB=5x+8 ∘
Find m ∠ B O C:
This means that: m∠BOC and m∠AOC intersect at a right angle.
Hence:
m∠BOC + m∠AOC = 90°
Step 1
Solving for x
6x - 6 + 5x + 8 = 90°
11x -2 = 90°
11x = 90 - 2
11x = 88
x = 88/11
x = 8
Step 2
Solving for m∠BOC
m∠BOC = 6x - 8
m∠BOC = 6(8) - 8
= 48 - 8
= 40°
Divide both the numerator and denominator by 9 to get;
Convert the improper fraction to a mixed number;
Answer:
31*
Step-by-step explanation:
right triangle means 90* so 90*-59* = 31*
F(x) + g(x)
3x-7+6x+4
=9x-3
