Answer:
18.84 estimated, 6π exactly
Step-by-step explanation:
Hi!
<u>The formula for finding the circumference of a circle is 2πr:</u>
In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.
6 ÷ 2 = 3
So we have 2π × 3 to solve.
2π × 3 = 6π
We can estimate the circumference by multiplying by 3.14.
6 × 3.14 = 18.84
(actually multiplying by π gives 18.849... which is pretty close!)
Thus, the circumference is
.
Hope this helps!
Answer:
3 Liters of the 85% Solution
Step-by-step explanation:
You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

Then we multiply the top of the buckets with the bottom:
85x+330=65x+390
Now we simplify and solve
20x=60
x=3
You need 3 liters of the 85% solution!
Answer:
If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.
Step-by-step explanation:
Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.
Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

When we use this to replace the 't" in the displacement formula, we et:

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)
And we can also answer the question about time, since given the same initial velocity
, the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)
Answer: 
Step-by-step explanation:
The formula for area of a triangle is 
Now we have to isolate for w.
First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.

Now divide by h to isolate w.
-13x + 3 is decreasing and has a negative slope.