The answer would be 12 cards. If you convert 3/4 into 12/16, it tells you automatically that Joey made 12 cards, since it takes him 1/16 of an hour to write one.
Hope this helps!
Answer:
The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.
Here is how to do that! First we write the square root of 162 like this:
√162
The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:
√81 × 2
Next, we separate the numbers inside the √ as such:
√81 × √2
√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:
9√2
Step-by-step explanation:
It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t.
This means that:
at a certain time = t seconds
the diameter of the sphere will be equal to t + 3
Based on this:
at t = 3 seconds
diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters
and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule:
volume of sphere = (4/3) x pi x (radius)^3
Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows:
volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3
Answer:
First Circle
Radius = 6
Diameter = 12
Circumference = 2 × 
× r = 2 × 3.14 × 6 = 37.68
2nd Circle
Radius = 3
Diameter = 6
Circumference = 2 × × r = 2 × 3.14 × 3 = 18.84
Hope This Helps!
Use the equivalence of opposite angles:
<PTS = <QTR
That gives you an equation with unknown y:
11(y-10)= 4y-5
solve for y:
11y -110 = 4y -5
7y = 105
y = 15
so m<PTS = 11(y-10) = 55 degrees
