18/90
Divide by the common factor of 18 and 90, 9.
(18/9) / (90/9)
2/10
Divide top and bottom by 2
1/5
Hope this helps :)
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Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
Micheal answered 3 wrong.
Nythia answered 4 wrong.
Raul answered 1 wrong.
Tonya answered 7 wrong.
The other student lost 36 points.
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
