Answer:
50 people
Step-by-step explanation:
If you are to calculate the number of people that will come to the concert that will ensure option 1 and option 2 to yield equal amount
Let
x = number of people
Option 1:
Malcolm's Music Hall = 100 + 15x
Option 2:
Reggie's Reggae Room = 350 + 10x
Equate both options
100 + 15x = 350 + 10x
Collect like terms
100 - 350 = 10x - 15x
-250 = - 5x
x = -250/-5
x = 50 people
Answer:
210°
Step-by-step explanation:
Given
sinΘ = - 
Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is
Θ = 
( ) = 30° ← related acute angle
Thus the required angle in the third quadrant is
Θ = 180° + 30° = 210°
Step-by-step explanation:
Whenever you divide any number with 10,100,1000,10000 ....
then move the decimal point of the given number toward left side as the number of zero in dividing number,
1.4/100
here in 100 there is 2 zeros , so we should shift the decimal 2 point left of 1.4
First you divide the number 162 by 100 (100 is 100%) which = 1.62 then you multiply this by the % given which is 49 so 162/100=1.62 then 1.62*49= 79.38
Radius of sphere = 18/2 = 9 cm
Volume of sphere = 4/3 πr^3 = 4/3 x π x (9)^3 = 972 π cubic cm
If the diameter is reduced by half, then
Volume = 4/3 x π x (9/2)^3 = 4/3 x π x (9)^3 x (1/2)^3 = 1/8(972)
Therefore, new volume is 1/8 of original volume.
