Answer:
The value when n = 3 is 9
Step-by-step explanation:
Given : six less than the quotient of a number cubed and nine, increased by twelve”
Solution:
let number be n
Since we are given that “six less than the quotient of a number cubed and nine, increased by twelve”
⇒
Now put the value of n =3
⇒
⇒
⇒
⇒
⇒
Thus option 2 is correct. The value when n = 3 is 9
Answer:
if x = arc FG, then x = 130 degrees, the bigger arc is 230 degrees.
Step-by-step explanation:
We see there are 2 tangent lines of circle R
There is a theorem that says angle FGH = [ (arc FEH) - (arc (FH)] /2
50 = (arc FEH - arc FH) /2
arc FEH - arc FH = 100
and arc FEH + arc FH = 360
solving this system you should get FH = 130 and FEH = 230
Answer:
13 is the answer.
Step-by-step explanation:
In this question the given fraction is
Now we have to simplify the fraction to the nearest integer.
Since the integers are whole number not in fraction therefore 12.5 can be written as 13 as the nearest integer.
Step-by-step explanation:
Please mark brainliest and have a great day!
Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
