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castortr0y [4]
3 years ago
10

It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

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Akimi4 [234]

Answer:

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Step-by-step explanation:

Rule: ln a + ln b = ln ab

Rule: ln a^n = n * ln a

2 ln m + 9 ln n =

= ln m^2 + ln n^9

= ln (m^2n^9)

= \ln m^2n^9

7 0
3 years ago
Kenji is saving money to buy a new bicycle that costs $125. So far he has saved his weekly allowance of $5 for the past 8 weeks.
Alla [95]

Answer:

$85

Step-by-step explanation:

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4 0
2 years ago
Let f(x)=cos(x)x^-2<br> F’(x)=
kondaur [170]

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8 0
2 years ago
Find the distance between (2, 2) and (-4, 4). Round answer to the nearest tenth.
Naya [18.7K]

Answer:

6.3

Step-by-step explanation:

First off, we need the distance formula, which is:

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

If we plug in the points, we get:

\sqrt{(-4 - 2)^2 + (4 - 2)^2}

If we simplify everything under the square root, we get:

\sqrt{(-6)^2 + (2)^2}

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In decimal, the answer is 6.3

6 0
3 years ago
5(r-10)=-51 what is the value of r
raketka [301]
Use distributive method
5r - 50 = -51
Add 50
5r = -1
Divide by 5
r = -1/5
3 0
3 years ago
Read 2 more answers
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