Answer:
Step-by-step explanation:
Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
<u>The ratio of the legs, as per property of 30-60-90 triangle:</u>
- s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5
Half the side is s = 5 units, then side of the hexagon is 10 units.
<u>The area of the hexagon:</u>
- A = 1/2Pa, P- perimeter, a- apothem
- A = 1/2(6*10)*(5√3) = 150√3
Correct choice is C
- The correct statements are:
the weights of the pineapples in crate 1 were the most variable. - The heaviest pineapple was in crate 1.
- More than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2.
<h3>What are the correct statements?</h3>
A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers. The difference between these numbers is the range which measures variability.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The difference between the first quartile and the third quartile is the interquartile range.
For the first box plot:
- Minimum number = 1.5
- Range = 6 - 1.5 = 4.5
- Median = 4
- First quartile = 3
- Third quartile = 4.5
- IQR = 4.5 - 3 = 1.5
For the second box plot:
- Maximum number = 3.5
- Minimum number = 1
- Range = 3.5 - 1 = 2.5
- Median = 2
- First quartile = 1
- Third quartile = 2.5
- IQR = 2.5 - 1 = 1.5
For the third box plot:
- Maximum number = 5
- Minimum number =2.5
- Range = 5 - 2.5 = 2.5
- Median = 4
- First quartile = 3.5
- Third quartile = 4.5
- IQR = 4.5 - 3.5 = 1
Please find attached the box plots. To learn more about box plots, please check: brainly.com/question/27215146
#SPJ1
Lucas 1.78 m
Olivia = Lucas / 2 = 1.78 / 2 = 0.89 m
Ava = Olivia + 0.23 = 0.89+0.23 = 1.12m
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
