the circumference of a circle with the radius being 12.5 is C=78.54
Answer:


Step-by-step explanation:
we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>
and the equations of the two parallel sides
notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides
remember that,
every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>
therefore,
we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so
let's figure out the perpendicular line of y=x line
recall that,
Parallel lines have the same slope thus

since we are given a vertex the equation of the perpendicular line should be

distribute:

add 1 to both sides:

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation
so the slope of the perpendicular line is -1
and the equation:

distribute:

add 0.5 to both sides:

and we are done!
Answer:
Part A
6/40 = 0.15
Part B
16/40 = 0.4
Part C
10/40 = 0.25
Part D
8/40 = 0.20
Part E
The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.
Part F
The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.
Part G
It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.
If you're on Plato an on slide 20 this Answer is for you:
<em>If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?</em>
Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
Answer: m = 16
Remember: the base angles of a trapezoid are congruent.
Form your equation.
4m + 1 = 2m + 33
Solve for m.
4m + 1 = 2m + 33 Subtract 1 from both sides
4m = 2m + 32 Subtract 2m from both sides
2m = 32 Divide by 2 to both sides
m = 16 Answer!
You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
Answer:
wouldn't it be 3
Step-by-step explanation:
cause you dividing the weight by hrs