Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
Step-by-step explanation:
This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)
Others reason why Why?
Line m is perpendicular to Line c.
B and E are equidistant from c that BC=CE.
Why the others are wrong.
While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.
A translation doesnt occur about a line.
A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Area of Trapezoid = (1/2) * (Sum of bases) * height
Area = (1/2) * (11 + 14) * 10
= (1/2) * 25 * 10 = 5 *25 = 125
Area = 125 m²
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