The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.

Answer:

62.832 mi^2

Step-by-step explanation:

Top and bottom faces : 2^2 x pi = 4pi    4pi x 2 = 8 pi mi^2

Curved Surface Area= pi x diameter x height

= pi x 4 x 3 = 12 pi mi^2

So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)

Answer:

SA=62.832 mi^2

Step-by-step explanation:

To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.

Answer:

the tax amount is $3.7

Step-by-step explanation:

Given that

The price of the sweatshirt is $74

And, there is a 5% tax

So we assume that We need to find out the tax amount

So here the following formula should be used

= Price of the sweatshirt × tax rate

= $74 × 0.05

= $3.7

Hence, the tax amount is $3.7

So the same would be considered and relevant

Answer:

b

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

Answer:

4a² - 3a + 2

Step-by-step explanation:

*picture above*

Answer:

After 10 years the ratio will be 10500: 500000

Answer:

2.1%

Step-by-step explanation:

I converted the ration to a percent. (on g o o g l e)

Please Brainlyest

Answer:

c

Step-by-step explanation:

the answer is c c c c c c c c

Answer:

72 cm ze wszystkich stron

Step-by-step explanation:

promień jest równy bokom kształtu.

Answer:

The answer is negative thirty

Answer:

The answer is -450/15 = -30

Step-by-step explanation:

3 3/5 and -8 1/3 are numbers in mixed fractions. For getting the answer, the numbers must be converted into improper fractions with the formula =

Quotient * Divisor + Remainder = Dividend

Therefore;

=>   3 3/5 = 3 * 5 + 3 = 18/5

=>   -8 1/3 = -8 * 3 + 1 = -25/3

Now, we multiply the improper fractions.

=>   18/5 * (-25/3)

=>   -450/15

=>   -30 is the final answer

Hope this helps you!

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

Answer:

try searching it

Step-by-step explanation:

Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.

14:30 describes her class in terms of number of girls to total number of students

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

y = csc(x) and y = sec(x)

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

Explanation:

The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.

Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.

The same applies to...

So we can rule out choices B, E and F.

Only choice C and D have graphs that do not have any x intercepts at all.

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

If you're curious why csc doesn't have any roots, consider the fact that

csc(x) = 1/sin(x)

and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.

sec(x) = 1/cos(x)

Answer:

The area is: [tex]69m^2[/tex]

Step-by-step explanation:

Given

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

[tex]b_1 = 9m[/tex]

[tex]b_2 = 14m[/tex]

[tex]h =6m[/tex]

Required

The area

We have:

[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]

This gives:

[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]

[tex]A = \frac{1}{2}* 23m * 6m[/tex]

[tex]A = 69m^2[/tex]

Answer:

one unique solution

Step-by-step explanation:

one unique solution => (-1, 2)

Answer:

B

Step-by-step explanation:

Answer:

See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Answer:

Trinomial

[tex]m^2 - 13m + \frac{169}{4}[/tex]

Binomial squared

[tex](m - \frac{13}{2})^2[/tex]

Step-by-step explanation:

Given

[tex]m^2-13m[/tex]

Required

Make a perfect trinomial

We have:

[tex]m^2-13m =[/tex]

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

Take the coefficient of m i.e. -13

Divide by 2 i.e. -13/2

Square i.e. (-13/2)

Add to both sides of the equation

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

[tex]m^2-13m =[/tex] becomes

[tex]m^2 - 13m + (\frac{-13}{2})^2 = (\frac{-13}{2})^2[/tex]

[tex]m^2 - 13m + \frac{169}{4} = \frac{169}{4}[/tex]

Expand

[tex]m^2 - \frac{13}{2}m- \frac{13}{2}m + \frac{169}{4} = \frac{169}{4}[/tex]

Factorize:

[tex]m(m - \frac{13}{2})- \frac{13}{2}(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Factor out m - 13/2

[tex](m - \frac{13}{2})(m - \frac{13}{2}) = \frac{169}{4}[/tex]

Write as square

[tex](m - \frac{13}{2})^2 = \frac{169}{4}[/tex]

Hence, the trinomial is:

[tex]m^2 - 13m + \frac{169}{4}[/tex]

And the binomial squared is:

[tex](m - \frac{13}{2})^2[/tex]

Answer:

Your answer would be 30 km/h for her average pace.

Step-by-step explanation:

I filled out info for a pace calculator and this is what the average speed was. Hope this helps and have a nice day.

Answer:

Option C would be better than the others.

Step-by-step explanation:

She wants to learn about band members from a sample of the population. Option a isn't enough because flute players aren't the only ones who should be surveyed, she needs to know about all band members. B isn't right, it isn't logical to just survey people with names starting with J or M. So, c would be just right since she's surveying 2 band members from each school so she would get information from a sample of the population and not just from her school.

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Answer:

it should be 119

Step-by-step explanation:

(7-3) = 4

4^2 = 16

16 x 7 = 112

112 + 7 = 119

Answer: 119

[tex]7+7(x-3)^{2}[/tex]

[tex]7+7(7-3)^{2}[/tex]

[tex]7+7(4)^{2}[/tex]

[tex]7+7(16)[/tex]

[tex]7+112[/tex]

=119

Answer:

Crew neck is the most popular, so she should probably order that

Step-by-step explanation:

Answer:

Crew Neck t-shirts are most efficient