Answer:
10 m
Step-by-step explanation:
If we draw the diagonal of the rectangle, we form a right triangle where the diagonal is the hypotenuse and the legs are 6 and 8.
This is a well-known Pythagorean triple, which gives the diagonal to be 10 m.
Answer:
There is a 1/2 chance of getting tails on the coin and there is 3/8 chance of the spinner landing on red. hope this helps
Answer:
13.73 sq mm
Step-by-step explanation:
Area of Square - Area of Circle = Area of Shaded Region
if radius of circle is 4 then diameter is 8
the diameter is the same as the length of each side of the square
so area of square = 8² or 64
Area of Circle = 16π
64 - 16π ≈ 13.73
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
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
