Answer:
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Step-by-step explanation:
Answer:
None
Step-by-step explanation:
Answer:
34°
Step-by-step explanation:
The angle made when a tangent and a radius intersect=90°
Therefore angle OQP =90°
The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)
=56°
The right triangle OPQ can hence be solved as follows
angle POQ=56°
angle OQP=90°
angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°
Answer:
Sabrina bought 3 pounds of bananas.
Step-by-step explanation:
Given equations are:
a + b = 8 Eqn 1
0.95a + 1.10b = 8.05 Eqn 2
As we have to find the number of pounds of bananas bought, we will eliminate the variable a from the equation.
Multiplying Eqn 1 by 0.95
0.95(a+b=8)
0.95a+0.95b=7.60 Eqn 3
Subtracting Eqn 3 from Eqn 2
(0.95a+1.10b)-(0.95a+0.95b)=8.05-7.60
0.95a+1.10b-0.95a-0.95b=0.45
0.15b = 0.45
Dividing both sides by 0.15

Hence,
Sabrina bought 3 pounds of bananas.
Total number of marbles : 12
amount of blue marbles : 4
4/12 = 1/3 or 33%
the probability of choosing a blue marble 1/3 or 33%