Answer:
2.7
Step-by-step explanation:
ratios help
2.5 : 5.8 :: x : 6.2
2.5/5.8 = x/6.2
solve for x :
x = approx. 2.7
There would be 14 inches on both sides.
{[(3 * 12) + 6 ] -14} ÷ 2
{[ 36 + 6 ] - 14 } ÷2
{ 42 - 14 } ÷2
28 ÷2
14
Answer:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
Step-by-step explanation:
y" + y' + y = 1
This is a second order nonhomogenous differential equation with constant coefficients.
First, find the roots of the complementary solution.
y" + y' + y = 0
r² + r + 1 = 0
r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)
r = [ -1 ± √(1 − 4) ] / 2
r = -1/2 ± i√3/2
These roots are complex, so the complementary solution is:
y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)
Next, assume the particular solution has the form of the right hand side of the differential equation. In this case, a constant.
y = c
Plug this into the differential equation and use undetermined coefficients to solve:
y" + y' + y = 1
0 + 0 + c = 1
c = 1
So the total solution is:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
To solve for c₁ and c₂, you need to be given initial conditions.
The circumference is found by multiplying the radius by pi by 2
And then the arc length would be multiplied by the fraction of the circle..
So using what you wrote is correct, but the answer you got is incorrect.
2x 3.14 x 90 = 565.2 meters
565.2 x 90/360 = 141.3 meters
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➷ Figure out what you would need to do to get from 2.5kg to 1kg
You would need to divide by 2.5
Just divide the cost by this value:
2.5/2.5 = 1
1kg would cost £1.00
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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