Which of the points listed is the same distance from the y-axis as the point (-4,7.5)?
1 answer:
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Answer:
Step-by-step explanation:
The circumference of a circle with radius is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
:
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
Answer:
C.The probabilities are equal.
The above statement is the only TRUE statement.
Step-by-step explanation:
Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}
So, number of total outcomes = 10
Let E : Event of spinner landing on 3
and E' : Even of spinner landing on 4
{Probability of Event E} =
⇒ P( landing on 3 ) = 1/10
and
P( landing on 4 ) = 1/10
Now, the given statements are
A.The probability of landing on 3 is less than probability of landing on 4.
FALSE, as both the probabilities are equal to 1/10.
B.The probability of landing on 3 is greater than probability of landing on 4.
FALSE, as both have same probabilities.
C.The probabilities are equal.
TRUE, both have same probability = 1/10
D.The probabilities cannot be predicted
FALSE, the probability are predictable.