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aleksley [76]
3 years ago
11

You are going on a field trip in a school bus. A special detector placed on one of the bus's tires counts the number of rotation

s completed by the tire during the journey. The tire's diameter is 1 meter, and it made 8000 rotations during the trip. How far did the bus travel? Give an exact answer.
Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0

Answer:

25,120

Step-by-step explanation:

I got it on Khan Academy it says that this is the ansewr to the question

Hope this helps

Regards Jaygtgajm11

Akimi4 [234]3 years ago
6 0
The way tires on wheels work is that when the wheel turns one complete
turn, it moves (forward or backward) by a distance that's the circumference
of the tire.

Now, we know that the circumference of a circle is (π) times the diameter.
The diameter of the tire on this bus is 1 meter.  So its circumference is
(π · 1 meter), and every time it turns once, the bus moves 1 meter down
the road.

If the tire rotated 8,000 times, then the bus moved 8,000π meters,
or 8π kilometers.

THAT's the exact answer.  If you want to know how far that actually is,
then you take some number that's approximately π and multiply it by
8 km.  You can never get an exact answer like that, because you can
never write the exact value of π with digits.

In school, we often use  ' 3.14 ' for π .  If you do that, then the bus
traveled

                   (8 km) x (3.14)  =  25.1 kilometers .

When you do that, you have to remember that it's approximate.
If you want an exact answer, then you have to leave π in the answer.
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If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
arlik [135]

Answer: X = -9

Step-by-step explanation:

You can set up a ratio to solve this.

208/13 = -144/x

208x=-1872

x = -9

7 0
3 years ago
Help!!!!
Feliz [49]

Answer:

<h2>: 7-⁴</h2>

Step-by-step explanation:

<h3>Exponential Form :</h3><h3>(a^m*a^n ) = (a^m+n )</h3>

<h3>7^-6 = 7^-2 * x </h3>

<h3>(only 7^-4 the term that can add to 7^-2 gives </h3><h3>= 7^-6 )</h3>

<h3>7^-6 = 7^-2 + 7^-4 </h3>

<h3> ( a^m*a^n) = ( a^m+n)</h3>
6 0
3 years ago
suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
How to guess the number someone is thinking?
Anvisha [2.4K]
Once your friend has thought of a number, do the following:
1. Ask him or her to multiply the chosen number by 2.
2.Choose an even number to use yourself. Ask your friend to add this number to the one in his head.
3.Tell him/her to divide the new number by 2.
4.Tell your friend to subtract his original number from the equation.
5."Guess" the number.
:)
6 0
3 years ago
Someone please help me
Lerok [7]

Answer:

y=3x+5

Step-by-step explanation:

I think that this is what they mean...

y=mx+b

y=3x+b

y=3x+5

plug in #s

5=15+5

5=20 no

6 0
3 years ago
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