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3 years ago

Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi

Mathematics

2 answers:

vladimir1956 [14]3 years ago

5 0

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

Rom4ik [11]3 years ago

3 0

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

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Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

Solution:

The distance is given by formula:

$distance = speed \times time$

Ton travels at 8 feet per second

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

Bob travels at 10 feet per second

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3>Method 2:</h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

3 years ago

Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

raketka [301]

First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the following term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5

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klemol [59]

I think it’s -36, not 100% sure though

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saw5 [17]

Answer:

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