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vlabodo [156]
2 years ago
6

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the dis

tance travelled by motorcycle. b) the displacement​
Mathematics
1 answer:
Triss [41]2 years ago
6 0

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

<h3>What is Distance and Displacement ?</h3>

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

To know more about Distance and Displacement

https://brainly.in/question/47777661

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4. What is the measure of angle ABD in the figure below?*<br> D<br> 2x<br> A<br> B<br> с
katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

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measure of ∠C = (x + 4)°

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Measure of exterior angle ABD

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∠A + ∠B + ∠C = 180°

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4 0
3 years ago
Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals
LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

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n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

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Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

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Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

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Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0
3 years ago
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