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Sphinxa [80]
4 years ago
8

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which th

e area within the circle is increasing after each of the following.
after 1 s = after 3 s = after 7 s =
Mathematics
1 answer:
Sonja [21]4 years ago
5 0
Given : dr/dt = 40 cm/s A = πr^2 dA/dt = 2π r dr/dt case 1: when s = 1, r = 40 dA/dt = 2π(40)(40) = 3200π cm^2/sec case 2: when s = 3, r = 3(4) = 120 cm dA/dt = 2π(120)(40) = 9600π cm^2/sec case 3: ... your turn .....
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By which least number should 12500 10be multiplied to make them perfect squares
Katarina [22]

Answer:

5

The least number 12500 need to be multiplied by to make it a perfect square is 5.

Corrected question;

By which least number should 12500 be multiplied to make them perfect squares

Step-by-step explanation:

Perfect squares are squares of whole numbers.

Like 4,9,16 etc.

For 12500, we need to first of all reduce it to its Lowest factors.

12500 = 2×2×5×5×5×5×5

Grouping the factors into pairs of thesame factors.

12500 = (2×2) × (5×5) × (5×5) × 5

Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.

So, when the number is multiplied by 5;

12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×5×5×5)^2 = 250^2

Hence, 62500 is a perfect square.

The least number 12500 need to be multiplied by to make it a perfect square is 5.

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4 years ago
Write the equation of the line in fully simplified slope-intercept form.
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Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food,. At this rate how many pounds of food would the zookeepe
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