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4 years ago

9

When a metallic ball bearing is placed inside a cylindrical container, of radius 2 cm, the height of the water, inside the conta

iner, increases by 0.6 cm. The radius, to the nearest tenth of a centimeter, of the ball bearing is

1 answer:

Elan Coil [88]4 years ago

7 0

It will be 1.2 cm,......

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A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of

lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

<u>Using Pythagoras theorem</u>:

${l}^{2} = {y}^{2} + {x}^{2}$

Differentiate both sides w.r.t time

$0 = 2y \frac{dy}{dt} + 2x \frac{dx}{dt}$

$y \frac{dy}{dt} + x \frac{dx}{dt} = 0$

<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

$6\times 2 + 8\frac{dx}{dt} = 0$

$\frac{dx}{dt} = - 1.5 ft \: per \: sec$

<u>( Ignore - ive sign)</u>

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

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3 years ago

Suppose the radius of a circle is \color{purple}{3}3start color purple, 3, end color purple. What is its diameter?

Varvara68 [4.7K]

The number of a radius is half of the diameter. so 3 is half of 6. your diameter is 6.

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3 years ago

you set up a hot choclate stand at a football game. the cost of your supplies is $75.you charge $0.50 for each cup of hot chocol

denpristay [2]

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the answer is twice as much as the cost because one cup I one 1/2

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3 years ago

Aldo put $400 into a savings account that paid an interest rate of 5.4% per year. What was the total amount in his account at th

Greeley [361]

Aldo had $421.60 in his account at the end of 1 year. 400 x 5.4% = $21.6 in interest from one year. $400 + $21.60 = $421.60

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3 years ago

Evaluate the follow expression. Use x = 3, y = 6<br> 3 (x + y)

defon

Answer:

3(x+y)=27

Step-by-step explanation:

3(3+6)

3(9)

27

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3 years ago

Read 2 more answers