A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches per second. If the rod is 174 inches long, what is the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches?

The rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.

Step-by-step explanation:

Let h = height, x= distance between the bottom of the rod and the base of the wall.

Given: = 5 inches per second

Consider the diagram (given in the attachment below):

By Pythagoras theorem, we have

Differentiate both sides of (i) w.r.t t, we get

Hence,  the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.

chicken chicken chicken

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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