0.30 • 18 = 5.4
0.30 • 40 = 12
0.30 • 9 = 2.7
0.30 • 70 = 21
0.30 • 48 = 14.4
0.30 • 26 = 7.8
0.30 • 14 = 4.2
Add the sums together which would be 67.5
Subtract $100 from $67.5 and that would be $32.5
Answer: $32.50 change
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:
1. <span>Construct a circle with its center at point H.
2. </span><span>Construct horizontal line l and point H on line l
3. </span>Label
the point of intersection of the circle and line l to the left of point
H, point J, and label the point of intersection of the circle and line l
to the right of point H, point K.<span>
4. Construct
a circle with its center at point J and having radius HJ .
Construct a circle with its center at point K having radius HJ
5. </span><span>Label
the point of intersection of circles H and J that lies above line l,
point M, and the point of their intersection that lies below line l,
point N. Label the point of intersection of circles H and K that lies
above line l, point O, and the point of their intersection that lies
below line l, point P.
6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be
or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by
where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer:
<em>x </em>= -2
<em>y </em>= 0
Step-by-step explanation:
Pretty hard process, but let me explain:
First, solve for y.
Substitute -x - 2 for y in x - y = -2:
Then, simplify both sides of the equation.
x - y = -2
x - (-x - 2) = -2
After, add -2 to both sides of the equation.
2x + 2 = -2
2x + 2 + -2 = -2 + -2
Next, divided both sides by 2.
2x/2 = -4/2
After that, substitute -2 for x in y = -x - 2:
You must simplify both sides of the equation.
y = -x - 2
y = -(-2) - 2
y = 0
Sorry if this is long and confusing, but I hope this helps!!
Answer:
<h3>600 times</h3>
Explain Your Answer:
<h3>50ft x 12in = 600 times</h3>
