Answer:
-2+sqrt(3)
Step-by-step explanation:
When cos(angle)=sqrt(3)/2
then sin(of that angle)= + or - 1/2 depending on the quadrant
Anyways 330 degrees is in the 4 quadrant. Cosine is positive there while sine is negative.
so sin(330)=-1/2
Formula for tan(x/2)=(1-cos(x))/sin(x)
Therefore tan(165)=tan(330/2)=(1-cos(330))/sin(330)=(1-sqrt(3)/2)/(-1/2)
Multiply top and bottom by 2 to get
tan(165)=(2-sqrt(3))/-1
tan(165)=-2+sqrt(3)
Answer:
126°
Step-by-step explanation:
In quadrilateral DSRC, SR || DC (given)
AP = BQ = CR = DS = ET (given)
CR bisects

(
is the measure of an angle of pentagon)

(Measure of interior angles on the same side of transversal)

Answer:
3744 inches squared, and 8 bags
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
˜”*°•.˜”*°• Area: •°*”˜.•°*”˜
Well, the formula for area is L*W
L=78 inches
W=48 inches
78*48=3744 inches squared
˜”*°•.˜”*°• Number of bags: •°*”˜.•°*”˜
3744/500=7.448
So he would need to buy 8 bags
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Answer:
60.42%
Step-by-step explanation:
Number of home runs hit by Adrian Beltre in 2004 = 48
Number of home runs hit by Adrian Beltre in 2005 = 19
To find:
Percentage decrease in home run production from 2004 to 2005.
Solution:
To find the percentage decrease, first of all we need to find the decrease in the number of home runs and then we will divide with the number of home runs in 2004 and then finally will multiply the result with 100 to get the percentage decrease.
Decrease in the number of home runs = Number of home runs in 2004 - Number of home runs in 2005 = 48 - 19 = 29

Therefore, by 60.42% Beltre's home run production has decreased from 2004 to 2005.
Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3