Answer:
n =30
Step-by-step explanation:
Given that,
Size of a sugar cube = 20 cm
The dimension of the container is 40cm by 60cm by100cm.
Let n be the number of sugar cube that are contained in the container.
So,
So, there are 30 sugar cube that are fitted in the container.
Answer:
85 students and 70 adults attended the game.
How many students and adults attended the game?
Step-by-step explanation:
Problema Solution
There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?
Answer provided by our tutors
let
s = the number of student tickets sold
a = the number of adult tickets sold
there were 155 people at the basketball game
s + a = 155
the total money received for admission was $492.50
2.50s + 4a = 492.50
by solving the system of equations
s + a = 155
2.50s + 4a = 492.50
we find
s = 85 students
a = 70 adults
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
Answer:
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Step-by-step explanation:
f(x) = sin (tan^-1 (ln(x)))
u substitution
d/du (sin u) * du /dx
cos (u) * du/dx
Let u =(tan^-1 (ln(x))) du/dx =d/dx (tan^-1 (ln(x)))
v substitution
Let v = ln x dv/dx = 1/x
d/dv (tan ^-1 v) dv/dx
1/( v^2+1) * dv/dx
=1/(ln^2x +1) * 1/x
Substituting this back in for du/dx
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Answer:
2greater then or equal to x 5 greater then or equal to
