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juin [17]
3 years ago
8

30 POINTS

Mathematics
2 answers:
PtichkaEL [24]3 years ago
6 0

Answer:

180 degrees per second.

Step-by-step explanation:

We have been given a graph that shows the distance covered by a tire or angular velocity of a tire with respect to the number of seconds (x).

Since we know that a tire is a circle and the measure of all the angles of a circle equals to 360 degrees.

We can see from our given graph that the tire completes one rotation in 2 seconds (2.5-0.5), so the distance covered by tire in two seconds will be 360 degrees. This means that the tire turns 360 degrees in each 2 seconds.

\text{Degrees turned by tire in 2 seconds}=\frac{360^o}{2\text{ seconds}}

As we are asked to find the degree change by tire per second so we will find the unit rate such that we will have 1 in our denominator. By dividing our numerator and denominator by 2 we will get,

\text{Degrees turned by tire in every second}=\frac{180^o}{\text{ second}}

Therefore, the tire is turning 180 degrees per second.

Klio2033 [76]3 years ago
5 0

It takes 2 seconds for the tire to make a full revolution. This is evident from the plot - the curve has a period of length 2.

A full revolution of the tire is a turn of 360 degrees.

So the tire turns at a rate of (360 degrees)/(2 seconds) = 180 degrees/second.

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-2(2x-6)=8-(-5+3x) <br> how do you solve this ?
Serggg [28]

Answer:

x = -1

Step-by-step explanation:

first you "remove the parentheses" by multiplying the number on the outside of them to everything on the inside. for instance, -2 x 2x = -4x and -2 x -6 = 12 (because whenever you multiply two negatives, it turns into a positive) then, when there is a minus sign in front of parentheses,  you change the sign of everything within the parenthesis leaving you with a positive 5 and a negative 3x. so now you have a much simpler equation of -4x + 12 = 8 +5 -3x

next you want to of course add the 5 and the 8 to make it even more simple which would leave you with the equation:

-4x + 12 = 13 - 3x

The next thing you need to do is get the unknown variable on one side of the equation. So you do add 4x do get the x on the right side which would leave you with 12 = 13 - 3x + 4x

So now you can do the same thing to the 13 to try to get it on the left by subtracting 13 from both sides

12 - 13 = -3x + 4x

now you make the equation simple by "combining the like terms" (which is something you'll hear a lot in algebra class)

making you equation -1 = 1x

or just -1 = x because when you multiply something by 1, it's the same.


6 0
4 years ago
here were 84 runners to start a race. in the first half of the race, 13 of them dropped out. in the second half of the race, 14
Gala2k [10]
13+14=27 84-27=57 57 runners finished the race.
8 0
4 years ago
The zero of the polynomial 6x power 2 + 19 X - 77 is​
Iteru [2.4K]

Answer:

The zeros of the polynomial are x = 7 or x = -11/2

Step-by-step explanation:

The zeros of a polynomial refers to the solution of the polynomial.

6x^2 + 19x -77

6x^2-14x+ 33x -77

2x(x-7) + 11(x-7)

= (2x + 11)(x-7)

2x + 11 = 0

x-7 = 0

2x = -11

x = -11/2 = -5.5

and x-7 = 0

x = 7

So the zeros of the polynomial are x = 7 or x = -11/2

4 0
3 years ago
There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats an
Thepotemich [5.8K]

Answer:

i guess you are trying to find out what the "some blue seats are". Lets show this as x.  So you are trying to find x. Now 88 seats in the theater divided by the 4 identical sections. that would give you 22. Now like you said 14 of the seats are red..That means that we have to find out what the blue is or x. 22-14 is 8. That means that there are 8 seats left that are not red...That means that 8 seats in the theater are blue.

8 0
3 years ago
Solve and check the answers in the original equation
Scrat [10]
 12 + 5k + 15                     -24
------------------- =  -----------------------
      k + 3                      k - 4
 5k + 27              -24
------------ =  ---------------
  k + 3                k - 4

 (k - 4)(5k + 27) = -24 (k + 3)
5k^2 - 20k + 27k -108 = - 24k - 72
5k^2 + 31k - 36 = 0
(5k + 36)(k - 1) = 0

5k + 36 = 0; k = -36/5 = -7.2
k - 1 = 0; k = 1

solutions
k = 1 and k = -7.2

3 0
4 years ago
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