Answer:
2/24
Step-by-step explanation:
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Hello!
To find the volume of the prism you first have to find the volume of a cube
To do this you use the equation

V is volume
a is side length
Put in the values you know

Solve
V = 0.125
Now to find the volume of the prism you multiply the volume of one cube by the amount of cubes in the prism
0.125 * 8 = 1
The answer is 1 cubic inch
Hope this helps!
Answer:
12
Step-by-step explanation:
First, find the total number of vehicles sold.
15 SUVs were sold, and 80 others were sold
15+80
95
So, 95 vehicles were sold in total.
Now we can make a proportion
15 out of 95 vehicles were SUVs, and we can expect x out of 76 vehicles to be SUVs
15/95=x/76
Cross multiply
95*x=15*76
95x=1140
To solve for x, we need to get x by itself. Since x is being multiplied by 95, divide both sides by 95. This will cancel out the 95, and leave x isolated.
95x/95=1140/95
x=12
So, 12 out 76 vehicles should be SUVs
40(60/100) 4(6/10) =24/10 = 2.4