Answer:
Natural numbers (integers greater than zero)
X = 3, 5, 4, 4, 3
Step-by-step explanation:
The least number of cars that can be observed in this experiment is 1, if the first car turns left. On the other hand, the experiment could go on forever if no car ever turns left, thus the highest number of cars approaches infinite.
The possible values of X are integers greater than zero, which are known as the Natural numbers.
If X = number of cars observed, simply count the number of letters in each outcome for the value of X:
Outcome = RRL, AARRL, AARL, RRAL, ARL
X = 3, 5, 4, 4, 3
Answer:
The constant of variation is 5
Step-by-step explanation:
We know direct variation is of the form
y = kx
We know y =25 and x=5
25 = k*5
Divide each side by 5
25/5 = 5k/5
5 = k
Answer:
10.63.
Step-by-step explanation:
First we need to understand pythagorean theorem that is,
Hypotenuse^2=perpendicular^2+base^2.
=7^2+8^2.
=49+64
=113.
Hypotenuse^2=113.
Square root both sides.
Hypotenuse=10.63.
Answer:
30
Step-by-step explanation:
Answer:
m < 1 = 18°
Step-by-step explanation:
If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:
Let < ABC = m < 1 = x
< CBD = m < 2 = 3x
We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):
m < 1 + m < 2 = < ABD
x + 3x = 72°
Add like terms:
4x = 72°
Divide both sides by 4 to solve for x:
x = 18
Since x = 18, and m < 1 = x , then m < 1 = 18°.
And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.
Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:
m < 1 + m < 2 = < ABD
18° + 54° = 72°
72° = 72° (True statement).
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