The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a rate of 2.000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8.000 centimeters and the area is 98.000 square centimeters?

The base of the triangle is shrinking at a rate of centimeters per minute.

Step-by-step explanation:

The formula of the area of a triangle is given by the following expression:

Where:

- Area of the triangle, measured in square centimeters.

- Base of the triangle, measured in centimeters.

- Height of the triangle, measured in centimeters.

The base of the triangle is:

If and , the base of the triangle is:

The rate of change of the area of the triangle in time, measured in minutes, is obtained after differentiating by rule of chain and using deriving rules:

The rate of change of the base of the triangle is now cleared:

Given that , , and , the rate of change of the base of the triangle is:

The base of the triangle is shrinking at a rate of centimeters per minute.

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: