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MissTica
3 years ago
8

Once a week you babysit your neighbors toddler after school, usually going to a local playground. You notice that each swing on

the swing set takes about the same amount of time, about 3.1 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenth place. T=2π√L/32
Mathematics
2 answers:
Marta_Voda [28]3 years ago
5 0

Answer:

The length of swing is 7.8 feet.

Step-by-step explanation:

Given: T=2\pi\sqrt{\dfrac{L}{32}}

We need to find L for T=3.1 seconds

We will substitute T=3.1 sec into formula and solve for L

3.1=2\pi\sqrt{\dfrac{L}{32}}

Divide by 2π both sides

0.4934=\sqrt{\dfrac{L}{32}}

Squaring both sides

0.2434=\dfrac{L}{32}

Multiply both sides by 32

L=7.789\approx 7.8

Hence, The length of swing is 7.8 feet.

aev [14]3 years ago
4 0
3.2 multiply pie by three
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The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of y
SSSSS [86.1K]

ANSWER:

i) y = 25x + 500

ii) y = 30x + 400

iii) The washing machines would cost the same amount after 20 years of use

iv) Standard machine

Step-by-step explanation:

i)

We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;

The first step step is to determine the slope of the line,

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y = 25x + c

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525 = 25(1) + c

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y = 25x + 500

ii)

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y = 30x + c

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iii)

Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;

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Equating the two and solving for x;

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Therefore, the washing machines would cost the same amount after 20 years of use.

iv)

In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)

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y = 30(9) + 400

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