Answer:
B. 4/21
Step-by-step explanation:
⇒This question is on probability
⇒Number of boys=3
⇒Number of girls=4
⇒P(S)= 4+3=7
Probability for a girl to win is= 4/7
We have 3 awards a free movie ticket, a collectible poster, or a free popcorn
P(S)= 3
Probability of being awarded a free popcorn = 1/3
The probability that a girl will win free popcorn =
4/7 * 1/3 = 4/21
hope i helped and have a wonderful day
<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;

Substituting the values, we have;


Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,

Substituting
and r =15, we get;



Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.
Answer:
x=26 degrees (D)
Step-by-step explanation:
Let's say x is the angle.
90-x would be the complement of the angle
180-x is the supplement
We can make the equation
supplement-26=2complement as the question states that twice the complement is 26 less than the supplement.
We can now substitute the 90-x and 180-x in their respective positions to get (180-x)-26=2(90-x) if we simplify this we get 180-x-26=180-2x which if we take away 180-x from both sides we get that -26=-x or 26=x
Answer:
m=-4
y intercept is (0,44)
Step-by-step explanation:
2^2/-5=-4/5
-(5/4)^3=-125/64
Hope this helps!!