Answer:
For a circle of radius R, the perimeter is:
P = 2*pi*R
Where pi = 3.14
If we have a section of this circle, defined by an angle θ, the length of that arc is calculated as:
L = (θ/360°)*2*pi*R
In this case, we have a unit circle, so the radius is 1 unit, and we have a section defined by an angle of 57°.
Then the total distance traveled will be equal to the length of the arc, which is:
L = (57°/360°)*2*3.14*(1 unit) = 0.99 units
Then the correct option is a.
(as we want to find the total distance, the starting point does not matter, so the total distance traveled in a section of 57° would be the same in any point of the circle, this means that the fact that we should start at the point (1,0) has no effect in this question)
<h2>6.</h2><h3>Given</h3>
<h3>Find</h3>
- The side length of a regular pentagon whose side lengths in inches are represented by these values
<h3>Solution</h3>
Add 27 to get
... 5x = 2x + 21
... 3x = 21 . . . . . . . subtract 2x
... x = 7 . . . . . . . . . divide by 3
Then we can find the expression values to be
... 5x -27 = 2x -6 = 5·7 -27 = 2·7 -6 = 8
The side of the pentagon is 8 inches.
<h2>8.</h2><h3>Given</h3>
- a rectangle's width is 17 inches
- that rectangle's perimeter is 102 inches
<h3>Find</h3>
- the length of the rectangle
<h3>Solution</h3>
Where P, L, and W represent the perimeter, length, and width of a rectangle, respectively, the relation between them is ...
.... P = 2(L+W)
We can divide by 2 and subtract W to find L
... P/2 = L +W
... P/2 -W = L
And we can fill in the given values for perimeter and width ...
... 102/2 -17 = L = 34
The length of the rectangle is 34 inches.
Answer: -20
Step-by-step explanation: Using the same expression except positive numbers, 4 x 5 = 20.
In this case, we can use this equation to find the product for the expression
4 x -5.
If 4 x 5 = 20, then 4 times -5 will also equal 20. However, since there is a negative factor in this expression, our answer will be negative causing our answer to be <u>-20.</u>
Answer:
17/7
Step-by-step explanation:
2g+2(-8+2g)=1-g
2g-16+4g=1-g
6g-16=1-g
6g-(-g)-16=1
6g+g=1+16
7g=17
g=17/7