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3 years ago

The earth has a diameter of 7917.5 mi. What is the arc length of half the earth?

Mathematics

1 answer:

Serhud [2]3 years ago

5 0

Answer:

Arc length is 12436.8m

Step-by-step explanation:

arc length = $\frac{M degree}{360degree}$ * πD

where M is the angle measure of the arc

and D is the diameter

considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees

$\frac{180}{360}$ * π * 7917.5 = 12436.8m

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Answer: it is 13+13=26

Step-by-step explanation:

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3 years ago

Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 f

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3 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

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3 years ago

Devon started a bike race at 11:30 a.m and finished at 3:17p.m how long did it take him to finish the race

Digiron [165]

Answer:

3 hours 47 minutes

Step-by-step explanation:

It takes 30 minutes to get from 11:30 am to 12:00 pm, and 3 hours and 17 minutes to get to 3:17 pm from 12:00 pm. There are 60 minutes in a hour.

3 0

3 years ago

Read 2 more answers

These two area models represent 2323 and 6969. Choose the equation that shows why 2323 and 6969 are equivalent.

grandymaker [24]

Well lets lay it out

   2323 6969

   first get 2323 and try its multiples.

   2323 x 2 = 4646
   2323 x 3 = 6969

   so what 2323 and 6969 have in common are the multiple 3

Answer: they are equivalent because they can be divided into each other. HOPE I HELPED!! :P <span />

5 0

3 years ago