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4 years ago

The circumference of the earth is 24,901.55 miles what is the diameter of the earth?

Mathematics

1 answer:

vovangra [49]4 years ago

4 0

Answer:

7,917.5 mi is you're answer i hope this helped

Step-by-step explanation:

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On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

4 0

4 years ago

the population of a city grows 7% each year. if it’s current population is 450,000, in how many years will the city’s popular ge

timofeeve [1]

It will take approximately 17 1/2 years for the city to reach a population of 1,000,000.

Step by Step Explanation:

7% of 450,000 is 31,500

450,000 to 1,000,000 means you need another 550,000 people in your population.

So take 550,000 divided by 31,500, which equals 17.46, which then rounds up to 17.5 years.

17.5 x 31,500= 551,250

That is how long it will take to reach 1,000,000 population count when the population only increases 7% each year.

3 0

3 years ago

Add the following numbers. -3 + 8 =

natita [175]

The correct answer is 5

Since the 3 is negative you would technically subtract 8 (positive) by 3

6 0

3 years ago

A pool of possible jurors consists of 14 men and 10 women. How many different juries consisting of 5 men and 7 women are possibl

aivan3 [116]

Number of combinations of 5 from 14 = 14C5 = 14*13*12*11*10
-------------------- = 2002
5*4*3*2*1

for the women its 10C7 = 10*9*8 / 3*2*1 = 120

so possible number of juries = 2002 * 120 = 240,240

6 0

4 years ago

One-third of a number is 8 less than the number itself

Anna007 [38]

Answer:

let the number be x

$\frac{1}{3} x = x - 8 \\ x = 3(x - 8) \\ x = 3x - 24 \\ 3x - x = 24 \\ 2x = 24 \\ x = 12$

5 0

3 years ago

Read 2 more answers

The circumference of the earth is 24,901.55 miles what is the diameter of the earth?​

The circumference of the earth is 24,901.55 miles what is the diameter of the earth?