Lu needs to move the right 3 units and up 5 units.
Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)
Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)
Answer:
.075 or 7.5% chance
Step-by-step explanation:
add up the number of balls to get 20. The chance of getting orange is 1/2 or .5, and the chance of getting yellow is 3/20, or .15. Then multiply the two fractions.
Answer:
Measure of arc CD = 112°
Step-by-step explanation:
Since quadrilateral ABCD is a cyclic quadrilateral,
m∠A + m∠C = 180°
129° + m∠C = 180°
m∠C = 180° - 129°
m∠C = 51°
Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]
= 2(51°)
= 102°
Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°
102° + m(arc CD) + 146° = 360°
m(arc CD) = 360° - (102° + 146°)
= 112°
Therefore, measure of arc CD is 112°.
Yes, they are equal because, (3x6) x 9= 162 and, 3x(6x9 = 162 as well! Hope it helps