Answer:
The missing side length is 3 units long.
Step-by-step explanation:
Use the Pythagorean Theorem where c²=a²+b²,
c=2√3, c²=12
a²=√3, a²=3
Solving for the missing side yields a side length of 3.
69, 62, 64, 67, 62, 64, 63, 65, 60, 64<br>
1. Find the mean, median, and mode
marta [7]
First order them from the smallest number 60
to the biggest number 69
Mean:582.4
Median:64
Mode:62 and 64
Lets call those two unknown numbers a, b and write the info in the problem as equations:
a*b = 30
a + b = 40
lets solve for a in the second equation and substitute in the first:
<span>a + b = 40
</span>a = 40 - b
therefore:
<span>a*b = 30
</span>(40 - b)b = 30
40b - b^2 = 30
b^2 - 40b + 30 = 0
if we apply the general quadratic equation to solve we have:
b = (40 +- √(1600 - 120))/2
b = (40 +- √(1480<span>))/2
</span>b = (40 +- 38.47)/2
There are two solutions:
<span>b1 = (40 + 38.47)/2
</span><span>b1 = 39.24
b2 = (40 - 38.47)/2
</span>b2 = 0.765
lets use the second solution <span>b2 = 0.765, and substitute in the first equation to find a:
</span><span>a*b = 30
</span>a*0.765 = 30
a = 30/0.765
a = 39.216
so the numbers are 39.216 and 0.765
Answer:
x=-b/2a
Step-by-step explanation:
with:
