Answer:
C 3 cm per present
Step-by-step explanation:
1 = 3cm
2 = 6cm
3 = 9cm
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
Answer:
Step-by-step explanation:
P(A) = Probability of drawing a green marble from a bag of two blue marbles, two green marbles, and three purple marbles
= 2 (green) / 7 (total of two, two and three)
= 2/7
P(B) = Probability of rolling a number less than 3 from a standard six-sided number cube
= 2 (1 and 2 less than 3) / 6 (1 through 6)
= 1/3
P(A) and P(B) are calculated to be two real numbers and do not depend on each other. So event A and B are independent.
Answer:
x= 12
Step-by-step explanation:
∠QPR +∠PQR= ∠HRQ (ext. ∠ of △PQR)
30° +(4x +2)°= (8 +6x)°
32 +4x= 8 +6x <em>(simplify)</em>
<em>Bring x terms on 1 side, constants to the other:</em>
6x -4x= 32 -8
2x= 24 <em>(</em><em>simplify</em><em>)</em>
x= 24 ÷2 <em> (÷2 on both sides)</em>
x= 12
<u>Method</u><u> </u><u>2</u><u>:</u>
∠PRQ= 180° -30° -(4x +2)° (∠ sum of △PQR)
∠PRQ= (148 -4x)°
∠PRQ +∠HRQ= 180° (adj. ∠s on a str. line)
(148 -4x)° +(8 +6x)°= 180°
148 -4x + 8 +6x= 180
156 +2x= 180
2x= 180 -156
2x= 24
x= 24 ÷2
x= 12