Answer:
StartFraction 25 Over 9 EndFraction
Step-by-step explanation:
![\bigg( \huge{\frac{ {3}^{2}a ^{ - 2} }{3 {a}^{ - 1} }} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 9a }{3 {a}^{ 2} }} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 3 }{ {a}}} \bigg)^{k} \\ \\ = \bigg( \huge{\frac{ 3 }{ {5}}} \bigg)^{ - 2} \\ \\ = \bigg( \huge{\frac{ 5 }{ {3}}} \bigg)^{ 2} \\ \\ = \huge{\frac{ 25 }{ {9}}}](https://tex.z-dn.net/?f=%20%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%20%7B3%7D%5E%7B2%7Da%20%5E%7B%20-%202%7D%20%20%7D%7B3%20%7Ba%7D%5E%7B%20-%201%7D%20%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%209a%20%20%20%7D%7B3%20%7Ba%7D%5E%7B%202%7D%20%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%203%20%20%20%7D%7B%20%7Ba%7D%7D%7D%20%5Cbigg%29%5E%7Bk%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%203%20%20%20%7D%7B%20%7B5%7D%7D%7D%20%5Cbigg%29%5E%7B%20-%202%7D%20%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cbigg%28%20%20%5Chuge%7B%5Cfrac%7B%205%20%20%20%7D%7B%20%7B3%7D%7D%7D%20%5Cbigg%29%5E%7B%202%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%20%5Chuge%7B%5Cfrac%7B%2025%20%20%20%7D%7B%20%7B9%7D%7D%7D%20)
Given that the image was dilated by scale factor 3 then:
a] Length of the dilated side will be:
length/width=(original length/width)*(scale factor)
length=3*10=30 in
Width=3*6=18 in
thus the dimensions of the new image will be:
30 in by 18 in
b. The diagram below represent s the rectangle. 1 cm represent 10 inches
Answer:
15%
it is the best because it is the option that offers the lowest price
Step-by-step explanation:
900 reduction : 6975 - 900 = 6075
15% discount :
0.15 x 6975 = $1046.25
6975 - $1046.25 = 5928.75
7/8 x 6975 = 6103.13
It proves that 203 is not a term of the particular a.P
Answer:
Let S be the total surface area. Then
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Discussion:
Let S be the total surface area. Then
S = 2Pi r*h + 2 Pi r^2 => subtract 2 PI r^2 from both sides
S - 2 PI r^22 = 2 PI r*h => divide both sides by 2 PI r
h = ( S - 2 Pi r^2) / ( 2 Pi r)
Thank you,
MrB
Step-by-step explanation: