Answer:
5.38 inches
Step-by-step explanation:
The formula for Area of an Heptagon
= A=7/4a²cot(180°/7)
Area = 105in²
Side a = ?
The formula for Side a
= √4A ×tan (180°/7)/7
= √4 × 105 × tan (180°/7) /7
= 5.37536 inches
Approximately = 5.38 inches.
<h3>
Answer: Choice D) </h3>
Work Shown:
We must require that 
and 
to avoid having 0 in the denominator. This is why choice D is the answer.
Answer:
B same form
Step-by-step explanation:
By using them for fractions or decimals. You can compare fractions by having them from least to greatest and it helps in getting the same denominator for fractions.
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>
<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>
Thus George and Carmen biked for 215 km and bussed for 135 km.
The team that should be awarded for consistent performance should be Team M. This is because the standard deviation of the team's players' scores is the lowest. Standard deviation is a measure of how much the individual data points vary from the average value, and for a consistent performance, this variation will be low.
The team with the highest average is Team N. The average is the same as the mean, and this is the highest for Team N, with a value of 13.
