Answer:
d
Step-by-step explanation:
So set both equations equal to each other then solve out of x and plug it back into the x equation to find the angles so start with x+5=2x+10 then subtract x from 2x and you will have 1x then subtract 10 from 5 leaving you with negative 5 then x equals negative 5 and then plug it back into the equation so for example 2 times negative 5 equals negative 10 plus positive 10 equals 0 so therefore x equals 0
Answer:
x={0, 2pi/3, pi, 4pi/3}
Step-by-step explanation:
First, move sin x by adding sin x to both sides. sin 2x+ sin x = 0. Next using the double angle identity, sin 2x=2(sin x)(cos x), so 2(sin x)(cos x)+sinx=0. Factoring, sin x(2cos x +1)=0. Solving, sin x=0 and 2cos x +1 = 0, or cos x = -1/2.
sin x = 0. Using the unit circle, sin x=0 when x=0 and x=pi.
cosx=-1/2. Using the unit circle, cos x= -1/2 when x=2pi/3 and x=4pi/3.
Answer:
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
Step-by-step explanation:
For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.
For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.
Now we find out if the ratios 12/200 and 9/150 are equal.
12/200 = 3/50
9/150 = 3/50
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
35 cm
using the formula a=1/2(b)(h), we can plug in 14 for b and 5 for h. This gives us 70, and when we multiply by 1/2 it leaves 35 cm.
