When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees
The Law of Sines states that
side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)
14 * Sine (41) / Sine (77) = side x
side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
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side x = 9.4264396482
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480 pennies.
25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)
35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)
25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.
The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.
1200(100%) - 720(60%) = 480(40%).
Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
61.26 in^2
Explanation: plug in the formula to get SA=2π1.5^2+2π(1.5)(5)
Answer:
= 5/3 * pi inches
or approximately 5.235987756 inches
Step-by-step explanation:
The formula for arc length = r * theta where theta is in radians
arc length = 10 * pi/6
= 10/6 * pi
= 5/3 * pi
or approximately 5.235987756 inches
Answer:
(9,-6)
(9,2)
(8,2)
(8,-6)
Step-by-step explanation:
To reflect something over the y axis all you have to do is change the sign of the X coordinate
which means that
(-9,-6) is (9,-6)
The other answers are
(9,2)
(8,2)
(8,-6)