Step-by-step explanation:
The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
How to determine the value of sin(2x)
The cosine ratio is given as:
\cos(x) = -\frac 14cos(x)=−
4
1
Calculate sine(x) using the following identity equation
\sin^2(x) + \cos^2(x) = 1sin
2
(x)+cos
2
(x)=1
So we have:
\sin^2(x) + (1/4)^2 = 1sin
2
(x)+(1/4)
2
=1
\sin^2(x) + 1/16= 1sin
2
(x)+1/16=1
Subtract 1/16 from both sides
\sin^2(x) = 15/16sin
2
(x)=15/16
Take the square root of both sides
\sin(x) = \pm \sqrt{15/16
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
\sin(x) = -\sqrt{15/16
Simplify
\sin(x) = \sqrt{15}/4sin(x)=
15
/4
sin(2x) is then calculated as:
\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)
So, we have:
\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗
4
15
∗
4
1
This gives
\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
Answer:
The answer is that the cost will be a total of $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
Step-by-step explanation:
Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.
Let w = watermelon weight and tomato weight.
An equation would be:
.68w + 3.25t = Total cost
For 185 lb of Watermelon and 5 lbs of tomatoes:
.68(185) + 3.25(5) =
$125.80 + $16.25 = $142.05
(Hope this helps. Btw, I am the first to answer!!)
Answer: expression below gives the average
rate of change of the function pon 5 sxs8?
08-5
1-10
1-10
8-5
07-1
8-5
Step-by-step explanation:
It can hold 9 ounces of oil and 90 ounces of gasoline cause if you take 10 oz of gas and times it by 9 it equals 90 and if you take 1 oz of oil and times it by 9 it equals 9 then take 90+9=99