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
12x5 =60$ total
12x5
h d
o p
u h
r
s
Answer:
11
Step-by-step explanation:
All you have to do is plug in a. In this case, a=3.
21/a+4
21/(3)+4
21/3+4
7+4
11
If this helps please mark as brainliest
#10
15(1/3y-3/5x-2/3y+4/15x)
Calculate
15(-y/3-x/3)
Write all numerator over common denominator
15(-y+x/3)
Multiply by reducing
-5(y+x)
Multiply parenthesis by -5
-5y-5x
#11
24(2/3y-3/4x-2/8y+5/6x)
Reduce fraction
24(2/3y-3/4x-1/4y+5/6x)
Calculate
24(5/12y+x/12)
Multiply parenthesis by 24
10y + 2x
Answer:
adjusted present value $207974.64
Step-by-step explanation:
Formula for adjusted present value (APV)
APV = Net present value + presnt value of tax
step 1 - After tax cash flow
cash inflow - $478,000
cash cost
Profit = 478000 - 325,040.00 = 152,960.00
Tax at 21% = 32121.6
after tax cash flow is 120838.4
step 2 Net present value
Net present value
= $165974.64
step 3 Present value of tax
present value
step 4 adjusted present value
APV = Net present value + present value of tax
= 165974.64 + 42000 = $207974.64