Answer:
Option B. 9.11
Step-by-step explanation:
To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.
The value of θ can be obtained as follow:
θ + 39° + 120° = 180° (sum of angles in a triangle)
θ + 159° = 180°
Collect like terms
θ = 180° – 159°
θ = 21°
Thus, we can obtain the length of line AB by using sine rule as illustrated below:
b/Sine B = c/Sine C
b = 16
Angle B = 39°
Sine C = 21°
c =?
b/Sine B = c/Sine C
16/Sine 39° = c/Sine 21°
Cross multiply
c × Sine 39° = 16 × Sine 21°
Divide both side by Sine 39°
c = (16 × Sine 21°) / Sine 39°
c = 9.11
Therefore, the length of line AB is 9.11
Hello,
y=x²+2x+7
y=x+7
==>x²+2x+7=x+7
==>x²+x=0
==>x(x+1)=0
==>(x=0 and y=7) or (x=-1 and y=-1+7=6)
Sol={(0,7),(-1,6)}
Answer:
Meg makes more money per hour.
Step-by-step explanation:
Given that,
Meg worked for 4 hours and earned $31 . Gabby worked for 5 hours and earned $37.50.
We need to find who makes more money per hour.
For Meg,
Money per hour =
Fr Gabby,
Money per hour =
$7.75 is more than $7.5. It means Meg is making more money per hour.
Find the ratio of of the common side:
35/15 = 2 1/3
30 x 2 1/3 = 70
Answer: C) 70
<span>The 6 playing cards may be arranged into 6 factorial (!) combinations, since the order of the cards does not matter, and since for each card we select, there is now one less card to choose from (for example 6 cards to start, then 5 to choose from, then 4, etc.)
So the number of combinations is 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 combinations.</span>