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Ray Of Light [21]
3 years ago
14

PLEASE HELP !!!

Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer: 60°, 72°, 90°, 120° and 180°

Step-by-step explanation:

To calculate the angle of rotational symmetry of a shape or polygon, you make use of this formula

\frac{360}{n}  where n is the number of sides of the shape

example for a Square with 4 sides. the angle of rotational symmetry is 360/4 =90°.

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At the beginning of an experiment, the temperature of a solution was 48°C. During a 6-hour
ExtremeBDS [4]

9514 1404 393

Answer:

  • -2.2(6) +1.8(4) . . . temperature change
  • 42 °C

Step-by-step explanation:

At the end of the first 6 hours, the temperature change was ...

  (-2.2 K/h)(6 h) = -13.2 K

The change in the next 4 hours was ...

  (1.8 K/h)(4 h) = 7.2 K

Then the total change over the 10-hour period was ...

  (-2.2)(6) +(1.8)(4) . . . . . expression for temperature change

This evaluates to -13.2 +7.2 = -6.

__

The final temperature is the sum of the initial temperature and the temperature change:

  final temperature = 48 °C -6 °C = 42 °C

_____

<em>Additional comment</em>

When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).

8 0
3 years ago
1.The data set shows the October 1 noon temperatures in degrees Fahrenheit for a particular city in each of the past 6 years.
Paladinen [302]
Did you figure it out?
8 0
3 years ago
Lily, Louis, and Ben went to an arcade and won tokens for prizes. Louis won 4.5 times as many tokens as Ben. Lily won 8 more tok
lana66690 [7]

<em><u>The expression that describes the number of tickets won by Lily is:</u></em>

a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben

<em><u>Solution:</u></em>

Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes

Let "a" be the number of tokens won by Lily

Let "b" be the number of tokens won by Louis

Let "c" be the number of tokens won by Ben

<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>

So we can frame a equation as:

number of tokens won by Louis =  4.5 times as many tokens as Ben

number of tokens won by Louis  = 4.5 x number of tokens won by Ben

b = 4.5 \times c

b = 4.5c

<em><u>Given that Lily won 8 more tokens than Louis</u></em>

number of tokens won by Lily = 8 + number of tokens won by Louis

a = 8 + b

Substituting the value of b = 4.5c in above expression

a = 8 + 4.5c

Thus the expression that describes how many tokens Lily won is found

7 0
3 years ago
Can someone please help me!
Alexeev081 [22]

Answer:

7)no

Step-by-step explanation:

When you plug in the numbers

3(2)-0=-6

6-0=6

6 does not = -6

5 0
3 years ago
The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integ
Nutka1998 [239]

Answer:

  • equation: (x-3) +(x-1) +(x+1) +(x+3) = -72
  • values: -21, -19, -17, -15

Step-by-step explanation:

When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...

  (x-3) +(x-1) +(x+1) +(x+3) = -72

This simplifies to ...

  4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.

  x = -18 . . . . . . . . the middle number of the sequence

So, the numbers are:

  • -18-3 = -21
  • -18-1 = -19
  • -18+1 = -17
  • -18+3 = -15

_____

A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...

  (x) +(x +2) +(x +4) +(x +6) = -72

and that simplifies to ...

  4x +12 = -72 . . . . . collect terms

  4x = -84 . . . . . . . . subtract 12

  x = -21 . . . . . . . . . . divide by 4

Now, the other three numbers are found by adding 2, 4, and 6 to this one.

3 0
3 years ago
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