The Earth is approximately a sphere of diameter 12742 km. The surface area of a sphere is given by the formula A = 4π r² Calculate the surface area of the Earth. Give your answer in metres squared and in standard form. (Take pi = 3.142) *

Answers

Answer 1

Answer:

5.101 x 10^14 m^2

Step-by-step explanation:

First you have to convert km to metres (the final answer must in metres).

So that would be 12742000m. Remember this is the diameter. The radius is half the diameter. So the radius would be 6371000m.

You then put it into the formula: 4 x π x 6371000².

And then you would get the answer: 5.101 x 10^14 m^2


Related Questions

Hey guys since nobody ever helps me and my mom doesn’t I need help on this assiment thanks :)

Answers

*assignment :)))))))

A rental company rents big-screen televisions for $22 down plus $4 a day. If the final bill is $46, how many days did you rent the television for?

Answers

Answer:

let the x no of days the television is rented

22+4x=46

4x=46-22

4x=24

x= 6days

Step-by-step explanation:

drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week

Answers

Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week

Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.

Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours

i hope this helps you good luck :)

Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?

Answers

Step-by-step explanation:

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find the sum of x2 + 3x and -2x2 + 9x +5.​

Answers

Answer:

This is the answer

Step-by-step explanation:

Solving    3x2-9x-5 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    -9

                     C   =   -5

Accordingly,  B2  -  4AC   =

                    81 - (-60) =

                    141

Applying the quadratic formula :

              9 ± √ 141

  x  =    —————

                   6

 √ 141   , rounded to 4 decimal digits, is  11.8743

So now we are looking at:

          x  =  ( 9 ±  11.874 ) / 6

Two real solutions:

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

or:

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

Two solutions were found :

x =(9-√141)/6=3/2-1/6√ 141 = -0.479

x =(9+√141)/6=3/2+1/6√ 141 = 3.479

Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer

Answers

Answer:

yes because 0.5 is 50%

Step-by-step explanation:


[tex] \sqrt[3]{8 \times 10 {}^{15} } [/tex]
I'm not really sure how to start.​

Answers

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt[3]{8.10^{15} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\sqrt[3]{10^{15} }[/tex]

= 2 × [tex]10^{5}[/tex]

= 200000

Help please. what is 6=3x²

Answers

Answer:

x=√2 or x=−√2

Let's solve your equation step-by-step.

6=3x2

Step 1: Subtract 3x^2 from both sides.

6−3x2=3x2−3x2

−3x2+6=0

Step 2: Subtract 6 from both sides.

−3x2+6−6=0−6

−3x2=−6

Step 3: Divide both sides by -3.

−3x2

−3

=

−6

−3

x2=2

Step 4: Take square root.

x=±√2

x=√2 or x=−√2

3|4w-1|-5=10
Please help meee!

Answers

Answer:

[tex]w=\frac{3}{2} ,-1[/tex]

Step-by-step explanation:

[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]

and the other case

[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]

What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3

Answers

Answer:

Option (4)

Step-by-step explanation:

Domain:

Domain of function is defined by the x-values (Input values) on the graph.

Range:

Range of a function is defined by the y-values (output values) on the graph.

From the graph attached,

x-values are starting from (-3) to infinity.

Therefore, domain of the function will be all real numbers greater than equal to (-3).

Option (4) will be the answer.

A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density?

Answers

Answer:

Hey there!

Density = Mass/Volume

Mass= 6g

Volume=24 mL, which is 24 cm^3

Density= 6g/24 cm^3

Density=0.25 g/cm^3

Let me know if this helps :)

Answer:

0.25g/ml

Step-by-step explanation:

Mass=6g

Volume=24ml

Density=Mass/Volume

=6/24=1/4=0.25g/ml

Which value of y makes the equation 16 -y = 11 true?

Answers

Answer:

16-5=11

Step-by-step explanation:

I need help graphing this

Answers

Answer: Draw a line through (0,1) and (3,-1)See diagram below

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

Explanation:

The given equation y = (-2/3)x+1 is in the form y = mx+b

m = -2/3 is our slope

b = 1 is the y intercept

The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.

Another point can be found using the slope

Recall that slope = rise/run

Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.

The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.

The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.

daniel spent half of his paycheck on video games. to earn more money, he did chores at home and received $20. how much was his paycheck if he ended up with $56

Answers

Answer: His paycheck was $72.

Step-by-step explanation:

Let x = paycheck amount.

Given,  Amount spent on video games = [tex]\dfrac x2[/tex]

Amount he has left of it = [tex]x-\dfrac x 2=\dfrac x 2[/tex]

Amount received = $20

Total amount amount he has left = [tex]\dfrac x 2 +20[/tex]

According to the question,

[tex]\dfrac x 2 +20 = 56\\\\\Rightarrow\ \dfrac x 2= 36\\\\\Rightarrow\ x= 2\times 36=72[/tex]

∴ His paycheck was $72.

Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=

Answers

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

It's given that ∠AOB ≅ ∠COD

therefore, m∠AOB = m∠COD

Now from the given measures of the equal angles,

9x - 5 = 6x + 10

9x - 6x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = [tex]\frac{15}{3}[/tex]

x = 5

Therefore, measure of the angles given in the picture will be,

m∠AOB = (9x - 5)° = 40°

m∠BOC = (2x + 11)° = 21°

m∠COD = (6x + 10)° = 40°

Answer:guy who answered first is wrong the answer is x = 9

Step-by-step explanation:

Which term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.

Answers

Answer:

The solution to a multiplication problem is called a product.

Step-by-step explanation:

A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.

Answers

Answer:

c= 9.2

Step-by-step explanation:

a^2 +b^2=c^2

6^2 + 7^2 = c^2

36+49 =85

= 9.2

Than take 85 and [tex]\sqrt{85)[/tex]you have to make sure you square the number so it will be accurate.

c=9.2

i hope this helped

B is the correct answer

Evaluate: 1/3(-15 + 3/2)

Answers

Answer:

-4.5 is correct answer

Step-by-step explanation:

[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]

hope it helped you:)

At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?

Answers

Answer:

£15.75

Step-by-step explanation:

£145.50 - £129.75

Answer:

The shop keeper made 15.75$ in an hour.

Step-by-step explanation:

Minus 129.75-145.50

Solve the system of equations below.

Answers

Answer:

B

Step-by-step explanation:

So we have the system of equations:

[tex]x-2y=3\\2x-3y=9[/tex]

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

[tex]x=3+2y[/tex]

Now, substitute this into the secon equation:

[tex]2(3+2y)-3y=9[/tex]

Distribute the 2:

[tex]6+4y-3y=9[/tex]

Combine like terms:

[tex]6+y=9[/tex]

Subtract 6 from both sides:

[tex]y=3[/tex]

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

[tex]x=3+2(3)[/tex]

Multiply:

[tex]x=3+6[/tex]

Add:

[tex]x=9[/tex]

So, our answer is (9,3)

And we're done!

A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?

Answers

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

1-9.
Simplify each expression.

a. 42 + (-17)

b. 8-(-9)

c. 8(-9)

d. -42=(-7)

e.-2(-3)(-4)

f. -18-7

g. (-5)2

h. -52

i. 49​

Answers

Uhh I think it's B or c

Answer:

hey

Step-by-step explanation:

i cant text u add me ok it deleted my answer

Write the inverse of h(x) = e 2x
h -1(x) =

log e2 x
2log ex
½log ex

Answers

Answer:

C

Step-by-step explanation:

We are given the function.

[tex]h(x)=e^{2x}[/tex]

And we want to find its inverse.

Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:

[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]

In conclusion, our answer is C.

Note:

[tex]\ln(x)=\log_ex[/tex]

Is 1.875 and rational number

Answers

Answer: 1.875 is a rational number because it can be represented as a ratio or a fraction.

What's the answer for this? I can't find the answer. ​

Answers

I believe the answer is 3/4.

Answer:

1/4+2/4=3/4 I believe so

Find the length of side AB.
Give your answer to 1 decimal place.
12 cm
62°
А
B

Answers

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

What is the length of the side AB given the angle B and side BC as in the image attached to the task content?

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

Read more on trigonometric ratios;

https://brainly.com/question/10417664

#SPJ1

Please help me simplify this equation!

Answers

X^2(x+4) x 3x^2(x-1)
(X^3+4x^2) x (3x^3 -3x^2)
3x^6 -3x^5+12x^5 -12x^4
3x^6 +9x^5-12x^4
I think that’s how you do it

List the following numbers in descending order.

13.5%, 1315, 13.09, 13

Answers

Answer:

1315, 13.09, 13, 13.5%.

Step-by-step explanation:

13.5% is less than 1 because 100% = 1.

1315, 13.09 ,13, 13.5%,

The area of the rectangle
shown is 54 square units.
What is its perimeter

Answers

Answer:

perimeter of a square= 4 times square root of area

[tex]4 \sqrt{54} = 29.39[/tex]

Write the three next natural numbers after 10999

Answers

Answer: 11000, 11001, 11002

Explanation
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