Answer:
2/3
Step-by-step explanation:
Answer:145
Step-by-step explanation:x-5+3x+25=180
4x+20=180 4x=160 x=40. <k=120+25=145
Fractions and decimals are related in a very close way. Ways such as they are both representing a whole number.
for example
1/2 , 0.5 , 50%
all three numbers have the same value but are expressed in a different format. all three represent the same whole number.
another example would be
1/4 , 0.25 , 25%
hopefully this helped. and or makes sense.
LET ME KNOW :p
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
= [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
= 
[ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
