Ok, so you have a right angle, a given angle, and a given side for the left triangle. We are going to call angle 47° angle A. So angle A=47°, the side connecting the two triangles is directly opposite A making it side "a". We are calling the right angle C and the hypotenuse (the longest side which is 11) "c". So, Sin A=a/c and since we don't have "a" we multiply both sides by "c" changing it to (c Sin A)=a. 11•Sin(47°)=a
11•(0.7313537016)=a
8.044890718=a
Answer:
9x+2y+8
Step-by-step explanation:
2(y+4)+3(x+2x)
Distribute:
=(2)(y)+(2)(4)+3(x+2x)
=2y+8+9x
Answer:
=9x+2y+8
7. tails, odd, 4
P(tails) = 1/2
P(odd) = 3/6 = 1/2
P(4) = 1/6
P(tails then odd then 4) = (1/2)×(1/2)×(1/6) = 1/24 ≈ 0.041666
Answer: 1/24, 4.2%
8. tails, 6 or 1, 3
P(6 or 1) = 2/6 = 1/3
P(3) = 1/6
P( tails, 6 or 1, 3) = (1/2)(1/3)(1/6) = 1/36 ≈ 0.027777
Answer: 1/36, 2.8%
9. heads, not 2, even
P(heads) = 1/2
P(not 2) = 5/6
P(even) = 1/2
P(heads, not 2, even) = (1/2)(5/6)(1/2) = 5/24 ≈ 0.208333
Answer: 5/24, 20.8%