Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
I do believe that the LCD of those would be 3
Answer:
$33.00
Step-by-step explanation:
Total number of members = 45+30 = 75
Total cost for making name tags
= 75 * (0.44)
= $33.00
Answer: D
Step by Step: Even though the y value repeats, to be considered not a function is when the X value repeats
Given
Area of the regular pentagon is 6.9 cm².
Find out the perimeter of a regular pentagon
To proof
Formula
Area of regular pentagon is
![= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B4%7D%5Csqrt%7B5%285%2B2%5Csqrt%7B5%7D%29%7D%5C%20a%5E%7B2%7D)
As given in the question
area of regular pentagon = 6.9 cm²
now equating the area value with the area formula.
![6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}](https://tex.z-dn.net/?f=6.9%20%3D%5Cfrac%7B1%7D%7B4%7D%5Csqrt%7B5%285%2B2%5Csqrt%7B5%7D%29%7D%20a%5E%7B2%7D)
Now put
√5 = 2.24 ( approx)
put in the above equation
![\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6.9%5Ctimes%204%7D%7B%5Csqrt%7B5%285%2B2%5Ctimes2.24%29%7D%7D%3Da%5E%7B2%7D%5C%5C%5Cfrac%7B27.6%7D%7B%5Csqrt%7B47.4%7D%7D%3Da%5E%7B2%7D%5C%5C%5Cfrac%7B27.6%7D%7B6.88%7D%3Da%5E%7B2%7D)
thus
a² = 4.01
a = √ 4.01
a = 2.0 cm ( approx)
As perimeter represented the sum of all sides.
i.e regular pentagon have five sides of equal length.
Thus
perimeter of the regular pentagon = 5 × side length
= 5 ×2.00
therefore the perimeter of the regular pentagon = 10cm
option c is correct
Hence proved