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3 years ago

The diameter of a circle is 16 in . Find its circumference in terms of pi?

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

Circumference of circle = πd = π × 16 =16 π in.

circumference of circle = 2πr = 2×π×8= 16 π in.

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A non-stop train leaves Lahore at 4:00 pm and reaches Karachi at 10:00 am the next day. The speed of the train was 70 km/hour. F

denis23 [38]

Calculate the number of hours between 4 PM and 10 AM:

4 PM to 4 AM is 12 hours.

4 AM to 10 AM is 6 hours

Total hours is 12 + 6 = 18 hours.

18 hours x 70 km/hr = 1,260 km total.

4 0

3 years ago

This is hard can someone help ?

Anastaziya [24]

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Both data sets have the same range: 2–10. Set A's mode of 8 is higher than set B's mode of 6.

Hence, the only true statement appears to be

... B. Set B has the lesser mean.

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... C. 36

8. The pie chart tells you 5% of the $4800 of monthly income is spent on transportation. That amount is .05×$4800 = ...

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3 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$

The first value ( $w=0$ ) will leave us with a 'height-only box', so the answer must be $w=58 in$

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = $195112 in^{2}$

8 0

3 years ago

25 POINTS plzz help☺️

mojhsa [17]

The answer is D because in order to find the area of a parallelogram you must multiply the base by the height which is 5 1/4 and 4 1/2.

Hope this helped you and would love brainliest!

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3 years ago

Read 2 more answers

Your parents have a realized income of $1,046.78/every 2 weeks. How much should the monthly housing expense budget be to stay wi

IgorLugansk [536]

Answer with explanation:

Income earned by my parents in every two weeks = $ 1046.78

In two weeks there are 14 days, so income earned by my parents in 1 day

$=\frac{1046.78}{14}\\\\74.77$

Income of my parents after a month, if there are 30 days in a month = $74.77 × 30= $ 2243.10

We, will use , $\frac{28}{36}$ rule here , which states that , 28% of monthly income of my parents, should be used for monthly housing expenses ,and 36% of gross monthly income should be used for debt purposes.

28% of $2243.78

$=\frac{28}{100}*2243.78\\\\=\frac{62825.84}{100}\\\\=628.2584$

= $ 628.26 (Approx)

So,my parents, monthly housing expense should not exceed ≥ $ 628.26

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3 years ago