C i think, sorry if its wrong
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span> is 64π
Here, I think I can help you out:
1. 21 ÷ 3
= 7
Therefore, the length is 7cm².
2. 35 ÷ 7
= 5cm²
- And so on. Simply divide the area by the length of the side given; you can answer up to question six using this strategy.
7. All sides of a square are the same length.
7 x 7
= 49cm²
9. 2 x 3.5
= 7m²
- The formula to find the area of a square/rectangle is length x width. Just multiply the given lengths for the answers :)
<span> 30 donuts in 60 minutes
90 donuts ?
90 x 60 / 30 = 180 minutes
answer
</span>180 minutes
<span>
</span>
How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
