The circumference of the Earth is 2.4x10^4 miles. If you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the Earth? Round your answer to the nearest whole number.

Answer:

Step-by-step explanation:

Answer:

10.47 to the nearest hundredth

Step-by-step explanation:

By Pythagoras

c^2 = 2^2 + 4^2 = 20

c = √20

c = 4.47

Perimeter = 2 + 4 + 4.472

The perimeter of the right-angled triangle is 6 + 2√(5) feet.

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

Given that a right-angled triangle.

The perpendicular length is 2 feet, the base length is 4 feet.

We need to use the Pythagorean theorem to find the length of the hypotenuse, and then add up the lengths of all three sides to get the perimeter.

In this case, we can use it to find the length of the hypotenuse c:

2² + 4² = c²

4 + 16 = c²

20 = c²

c = √(20) = 2√(5)

Now we can add up the lengths of all three sides to get the perimeter:

Perimeter = a + b + c

Perimeter = 2 + 4 + 2√(5)

Perimeter = 6 + 2√(5) feet

Therefore, the perimeter = 6 + 2√(5) feet

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A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.

It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.

The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.

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Answer:

Step-by-step explanation:

Use distance formula and find the result for each pair of points.

1)

2)

3)

4)

#1

#2

#3

#4

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

Answer:

I think D but I'm not too sure.

Change them all into decimals:

The square root of 2 = 1.41421356

3/2 = 1.5

15% = 0.15

Arrange them:

3/2, square root of 2, 1.3333..., 1.3, 15%

So, B is the correct answer.

Answer:

find the angle of the 90 and divide by 5

Step-by-step explanation:

Answer:

a = 104

Step-by-step explanation:

126 + 26 = 152

360 - 152 = 208

208 / 2 = 104

104 = a

Hope this helps :)

(If you need the explanation in words just let me know)

Step-by-step explanation:

Let's find

add up

Answer:

38.08 m²

Step-by-step explanation:

Given:

Formula:

[tex]\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}[/tex]

[tex]\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6[/tex]

[tex]\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}[/tex]

Answer:

30 pages

Step-by-step explanation:

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Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

Here is how it is graphed:

Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

Step-by-step explanation:

height (h) = 8cm

radius (r) = 5cm

volume of cylinder (v) = [tex]\pi[/tex]r^2h

                                     = 22/7 * (5)^2 * 8

                                     = 628.571cm^3

The hot air balloon's(above the eagle) elevation, relative to sea level is 98 meters

Elevation is the height to which something is elevated or to which it rises.

Therefore,

The eagle circle 48 meters above the mouse that scurried in the valley. The valley is 16 meters below sea level.

At the same time a hot ballon floated 66 meters above the eagle.

Therefore, the hot air balloon's elevation, relative to sea level is as follows;

elevation = 66 + 48 - 16 = 98 meters

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Answer:

Step-by-step explanation:

24

Hey there!

60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24

Therefore, your answer is: 24

Good luck on assignment & your day day!

~Amphitrite1040:)

Answer:

You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.

(a+b)^2 = a^2+2ab+b^2

(a-b)^2 = a^2-2ab+b^2

(a-b)(a+b) = a^2+b^2

calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a

Step-by-step explanation:

You can only get 5 numbers which are : 1, 3, 5, 7, 9.

There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.

Answer:

1/5(1 over 5)

Step-by-step explanation:

out of the 5 numbers

u can land on 7 one time

John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.

John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.

Some of the most popular and important postulates of John Locke were:

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Answer:

E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the reason is, for a direct relation between x and z we have too little information.

z could be huge, much, much bigger than y and x, or just bigger by 1 than y.

so, assume e.g. the following 2 scenarios

z = 6

y = 5

x = 4

and

z = 600

y = 26

x = 3

A

x + y > z

is true for the first scenario, but not for the second. so, it is not always true.

B

z - x < z - y

no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.

C

xz > yz

no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.

D

z/x < z/y

no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.

E

yz > xy

in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

Answer:

No

Step-by-step explanation:

SOH CAH TOA, or sin cos tan, only works on right triangles.

The median of the trapezoid is = 17

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.

The base of the trapezoid(B1) =14

The base of the trapezoid (B2) = 20

To calculate the median = half the sum of the base of the trapezoid given.

Therefore,

14+20/2

34/2= 17

Therefore, the median of the trapezoid is = 17

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Answer:

20 units

Step-by-step explanation:

Count the squares

Answer:

20 units

Step-by-step explanation:

Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.

Answer:

  $1650

Step-by-step explanation:

Each payment is applied first to the amount of interest that is due, then to the remaining principal.

__

For the first monthly payment, the interest due is ...

  I = Prt = $1800(0.10)(1/12) = $15.00

So, the amount of the payment that gets applied to the principal is ...

  payment - interest = $165 -15 = $150

The new balance is ...

  $1800 -150 = $1650.00 . . . . new principal after the first payment

__

The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.