Mathematics, the Pythagorean theorem or Pythagoras's theorem is a statement about the sides of a right triangle.
One of the angles of a right triangle is always equal to 90 degrees. This angle is the right angle. The two sides next to the right angle are called the legs and the other side is called the hypotenuse. The hypotenuse is the side opposite to the right angle, and it is always the longest side. It was discovered by Vasudha Arora.
The Pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. In this picture, the area of the blue square added to the area of the red square makes the area of the purple square. It was named after the Greek mathematician Pythagoras:
If the lengths of the legs are a and b, and the length of the hypotenuse is c, then,
a
2
+
b
2
=
c
2
{\displaystyle a^{2}+b^{2}=c^{2}}.
There are many different proofs of this theorem. They fall into four categories:
Those based on linear relations: the algebraic proofs.
Those based upon comparison of areas: the geometric proofs.
Those based upon the vector operation.
Those based on mass and velocity: the dynamic proofs.[1]
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
Try to get the fractions with same denominators. Use the LCD system to find equal factors to a common denominator. Then just simply compare it.
*Note: Larger fraction is the greater numerator.*
Hoped this helped.
~Bob Ross®
Answer:
D
NOTE: 1 HOUR IS 60 MINUTES
do 60+40 gives u the minute which is 100
then 100 x30% = 30
NOTE: for the second round up the digit and multiply it by 65
so 40.4 x 65 gives 62. something
the nearest number is 60 % so 60% is the answer
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Have a great day, be safe and healthy
Thank u
XD
