The Earth rotates every 24 hr and as diameter of 7, 926 mi. If you're standing on the equator, how fast are you traveling in miles per hour (mph)?

Answers

Answer 1
Answer: Approximately 1038 mph

The more accurate value is 1037.51097384802

Round that however you need to.

=======================================

Explanation:

We need the circumference of the equator. Think of the equator as the largest possible circle (or belt) to fit around the earth.

C = pi*d

C = pi*7926

C = 7926pi

C = 24,900.2633723527

In 24 hours, a person at the equator travels roughly 24,900.2633723527 miles since the earth does a full rotation in this timespan.

Divide the two quantities distance over time to get the speed

rate = distance/time

rate = (24,900.2633723527 miles)/(24 hours)

rate = ( (24,900.2633723527)/(24) ) miles per hour

rate = 1,037.51097384802

rate = 1038 mph

I'm rounding to 4 sig figs since the diameter is given to be in four sig figs.

This speed of roughly 1038 mph is a linear speed and not an angular speed.

-----------------------------

Extra info (optional section)

Upon further research, I found an article from NASA JPL (jet propulsion laboratory) which states quote:

"To make one complete rotation in 24 hours, a point near the equator of the Earth must move at close to 1000 miles per hour (1600 km/hr)"

Their figure of 1000 mph seems to be a rough estimate, more or less. It's fairly close to the 1038 figure we got earlier.


Related Questions

Pleaseee someone help!!!! I’m sooo confused right now

Answers

Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: [tex]\left(12a\right)^{7/10}[/tex]

Step-by-step explanation:

We can use the exponent property [tex]a^b\cdot a^c=a^{(b+c)}[/tex] to solve this problem.

Substituting given values, we get:

[tex]4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}[/tex]

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: [tex]12a^{\frac{7}{10}}[/tex]

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

If the measure of _1 is 50°, what is the measure of 28?

Answers

Answer:

130 degree of 2 and 8

Step-by-step explanation:

I think so

Answer:

130

Step-by-step explanation:

Have a nice day

What is the probability of rolling an even number on a number cube? *

Answers

Answer:

So the odds of rolling an even number are 3:(6−3)=1:1 .

Step-by-step explanation:

Help with my math please!!!

Answers

Answer:

x-12≤7

x≤19

Step-by-step explanation:

less than means it comes after

x-12

is at most means less than or equal to

x-12≤7

Add 12 to each side

x-12+12≤7+12

x≤19

Answer:

X - 12 ≤ 7; X ≤ 19

Step-by-step explanation:

Using the keywords less than, at most, and 'a number' we can identify the expression.

Now let's solve for x:

x - 12 ≤ 7

+12      +12

X ≤ 19


The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Which answer choice gives the number of
students that scored above 50.5?


Answers

The correct answer is A give brainliest pls

80 Superscript one-fourth x

Answers

Can you please help me with this I’ll help you too

Pls help asappppppp it is very important I need it pls

Answers

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]             ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

[tex]15=k(5)[/tex]

[tex]\dfrac{15}{5}=k[/tex]

[tex]3=k[/tex]

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

[tex]y=3x[/tex]              ...(ii)

Substituting x=24 in (ii), we get

[tex]y=3(24)[/tex]

[tex]y=72[/tex]

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

[tex]108=3x[/tex]

[tex]\dfrac{108}{3}=y[/tex]

[tex]36=y[/tex]

Therefore, the value of x is 36 when y is 108.

What is the area of this polygon??

(NO LINK PLS <3)

Answers

Answer:

Hello! answer: 96

Step-by-step explanation:

8 × 3 = 24 24 ÷ 2 = 12

5 × 4 = 20

8 × 8 = 64

12 + 20 + 64 = 96

Hope that helps!

The answer is 96 hope this helped

PLS HELP!! WILL AWARD BRAINLIEST!!

Answers

Answer:

1.6* 2,100,000= 3,360,000

2015-2012= 3

3,360,000*3= 10,080,000

Might be wrong but hope this helped!

What is the sum of 25 and 5

Answers

30 I need points lollll

Answer:

30 or 5

Step-by-step explanation:

ANSWER PLEASE I NEED IT

Answers

Answer:

its the second one

Step-by-step explanation:

PLS HElp!!!!!! 13pt ;-;

Answers

Answer:

djjdkdjddjfjfirrifkfkfjfkfkgkgkggkgkgkgkkkgkgkgkgkghotoriasjekic


20 POINTS!!!
Which polynomial lists the powers in descending order?
A. 43 - 4x + 24 + x? - 10
B. XI - 475 + 2A + 473 - 10
c. x +4% + 2A - 475 - 10
D. -10 + 433 - 4x + 24 + x?

Answers

i want to say the answer is C

how many solutions does -3x+12-9x+8=-3(4x-7)

Answers

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ3

WILL GIVE BRAINLIEST find the value of x

Answers

Answer:

66

Step-by-step explanation:

(y = −4x−3) ( y = -2x+1 )

Answers

Download MathPapa So you won’t have to wait for the math answers.

15 POINTS FOR ANSWER: Which would be my x quantity? Which would be my y quantity?

Answers

Answer:

Number of items is x, and cost is y

Step-by-step explanation:

Number of items would be the x quanitity because it illustrates the quantities supplied which is the independent variable. The cost is always on the y axis because it shows the minimum price that a supplier would accept for a given quantity meaning it's the dependent variable.

I know that may be confusing but that's the only way to explain it.

3 divided by x = 6

What is x?

Answers

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

3 ÷ x = 6

Step 2: Solve for x

[Multiplication Property of Equality] Multiply x on both sides:                      3 = 6x[Division Property of Equality] Divide 6 on both sides:                                 3/6 = xSimplify:                                                                                                             1/2 = xRewrite:                                                                                                             x = 1/2

Name one method of payment that allows you to use money in your account and one method that allows you to pay the amount at a later time.
A. money transfer
b. credit card
c. check

Answers

that would be check, bc you can cash in a check at any given time

I don’t know this answer help

Answers

Answer:

2n - 2

Step-by-step explanation:

rewrite without parentheses, pretend there is a 1 between the minus sign and the open parentheses that has to be distributed:

3n - 1(2 + n)

3n - (1)(2) + (-1)(n)

3n - 2 - n

combine 3n and -n to get 2n

2n - 2

Answer:

[tex]2n - 2[/tex]

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression:

[tex]3n - 2 - n[/tex]

Combine like terms:

[tex]3n - n - 2 \\ 2n - 2[/tex]

What are the solutions to the equation


Answers

Answer:

3i , -3i

Step-by-step explanation:

This is correct, I don't see what's wrong.

Paul buys 5 books priced at $10 and 3 priced at $15. He also has a coupon for $7 off his purchase. Write an expression with parentheses to show the total cost, after using the coupon, and then simplify it to show hos much he spent.​

Answers

Answer:

10-15=15

do the same with all of them

Step-by-step explanation:

What is the solution to 4 x + 6 less-than-or-equal-to 18?
x less-than-or-equal-to 3
x less-than-or-equal-to 6
x less-than-or-equal-to 48

Answers

Answer:

Answer

4.0/5

58

amna04352

Genius

6.9K answers

39.6M people helped

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

find the exact value of x


[tex]x = 2 + 2 {}^{2} [/tex]

Answers

Now we find for x,

[tex] \sf \implies x = 2 + {2}^{2} [/tex]

[tex] \sf \implies x = 2 + 4[/tex]

[tex] \sf \implies \: x = 6[/tex]

Hence, the exact value of x is 6.

Answer:

x=2+2²x=2+4 x= 6

the exact value of x= 6

hope it is helpful to you

Volume of rectangular cuboid is 8000cm. Length= 4x Width= 2x Height= 1x Find it's height, width and length.

Answers

Answer: 40 cm, 20 cm, 10 cm

Step-by-step explanation:

Given

Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]

Length of cuboid is [tex]4x[/tex]

width of cuboid is [tex]2x[/tex]

Height of cuboid is [tex]x[/tex]

Volume of cuboid is given by

[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]

[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]

Length =40 cm

width =20 cm

Height =10 cm

Emily wants to hang a painting in a gallery, The painting and frame must have an area of 31 square feet. The painting is 5 feet wide by 6 feet lone, Which quadratic equation can be used to determine the thickness of the frame, x? (5 points) 511 42.22x+31 - 0 4x22x - 1.0 OX.11.31 - 0 O x + 11-1-0

Answers

Answer:

4x² + 22x - 1 = 0

Step-by-step explanation:

The painting is in the form of a rectangle with measurement of 5 feet width and 6 feet length. Let us assume that the frame has a thickness of x feet, hence:

Length of painting and frame = 6 + 2x, breadth of painting and frame = 5 + 2x

Therefore:

Area of painting and frame = length of painting and frame * breadth of painting and frame

Given that the area of painting and frame is 31 ft², substituting gives:

31 = (6 + 2x)(5 + 2x)

31 = 30 + 12x + 10x + 4x²

31 = 30 + 22x + 4x²

4x² + 22x + 30 = 31

4x² + 22x - 1 = 0

The volume of a square pyramid is given by the formula, V = 13hx2, where h is the height of the pyramid and x is the length of one side of the base. If a pyramid has a height of 15 ft and a volume of 2,880 ft3, what is the length of one side of the base

Answers

Answer: 24ft

Step-by-step explanation:

The exercise gives you the following formula:

Where "h" is the height of the square pyramid and "x" is the length of one side of the base.

According to the data given, you know that:

Therefore, you can subsitute these values into the formula:

Now, you need to solve for the "x" to calculate the length of one side of the square base of that pyramid.

I need help with 42,43,44 they’re all based off the chart right there!

Answers

Answer:

43 4445 itmean near divide by 5

42) c
43) c
44) b

Hope this helps!

can you plzz help me. Evaluate the angles and give reasons for your answer.​

Answers

Answer:

14. D=70°

e=110°(straight line angles)

15. R=42°(vertically opposite angles)

S=68°(sum of interior angles of a triangle)

16.x=50°(angles on a straight line)

y=70°(sum of interior angles of a triangle)

hope this helps you

Find the measure of <AEB for m<BEC = 67°​

Answers

Answer:

option a

hope helps you

have a nice day

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