ANY number raised to the zero power is ' 1 '.
(This rule is worth memorizing. You'll amaze all of
your friends, especially the ones who don't know
how to do it without running to Google.)
So 5^0 = 1 .
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
Answer: The vertex is (-3, 2)
The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2
I rewrote x+3 as x - (-3)
Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k
Note how
a = -4
h = -3
k = 2
So the vertex is (h,k) = (-3, 2)
then find y and plug that y value into one of the original equations to find x
Hope this helps!
Answer:
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
Step-by-step explanation:
Probability of each outcome with one cube = Number of favorable events for each outcome/Total number of possible events
Replacing with the real values, we have:
Probability of each outcome with one cube = 1/6
Probability of each outcome with two cubes = 1/6 * 1/6 = 1/36
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
