Answer:
264 in²
Step-by-step explanation:
Parameters given:
Base, b = 24 inches
Height, h = 12 inches
Top side length, a = 20 inches
We are told that the front face of the basket is in the shape of a trapezoid.
The area of a trapezoid is:
A = ½ * (a + b) * h
The area of the front face of the basket is:
A = ½ * (20 + 24) * 12
A = ½ * 44 * 12
A = 264 in²
The area of the front face of the basket is 264 in².
Answer: P(t) = 600*(1.041)^t.
Step-by-step explanation:
An exponential growth can be written as:
P(t) = A*(1 + r)^t
Where:
A = initial population = 600
r = rate of growth in decimals = 4.1%/100% = 0.041.
t = number of units of time.
Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.
Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.
But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:
P(t) = 600*(1 + 0.041)^t
P(t) = 600*(1.041)^t.
Answer:
D
Step-by-step explanation:
hope this helps with your work
If BC is your shortest like, that would make it line A of the pythagorean theorem. AC is line B, and that would make line AB the hypotenuse, or line C.
So....
a^2+b^2=c^2
12^2+18^2=c^2
12*12=144
18*18=324
324+144=c^2
468=c^2
Because it is squared, you can divide by 2 and get your answer to line AB.
<span>S1 = Pi * D1^2
solve for D1
D1 = sqrt( S1 / pi )
S2 = Pi * D2^2
S2 = 1.21*S1
S2= 1.21 * Pi * D1^2
1.21 * Pi * D1^2=
Pi * D2^2
D2
D2 = sqrt( 1.21 * D1^2)
Now V2 = pi/6 * D2^3.
V2
= pi/6 ( sqrt(1.21*D1^2))^3
V2
= pi/6 * (1.21 * D1^2)^(3/2)
V2
= pi/6 * 1.21^(3/2) * D1 ^3 = (pi/6 * D1^3) * 1.21^3/2 = V1 * 1.21 ^(3/2)
=43% approximately</span>
