Answer: -4/5
Step-by-step explanation:
Ok so cos(x) = -4/5 and we know that:
.
If we plug that in and solve for sin(x) we get:
Now we have to consider: <em>is sin(x) positive or negative?</em>
We have that 
.
From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.
But the question asks: <em>what is 
?</em>
Here's where another important equation comes in:
In this case, we have alpha = x and beta = pi/2.
So, that looks like:
sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)
We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.
sin(x + pi/2 ) = (-3/5)(0) + (-4/5)(1).
Therefore we simply have
sin(x + pi/2) = -4/5
3% of 48.80 is 1.464
$1.464 times 30 since its for each share is $43.92
Then what i think is...30 times 48.80 =1464
then add 43.92 to 1464 to get 1507.92
27.33/28.38 = 0.96300211
Making it a percent and rounding it to the nearest tenth it’ll be 96.3%
Answer:
The answer is y= −6
Step-by-step explanation:
Let's solve your equation step-by-step.
10−5y=2(14−y)
Step 1: Simplify both sides of the equation.
10−5y=2(14−y)
10+−5y=(2)(14)+(2)(−y)(Distribute)
10+−5y=28+−2y
−5y+10=−2y+28
Step 2: Add 2y to both sides.
−5y+10+2y=−2y+28+2y
−3y+10=28
Step 3: Subtract 10 from both sides.
−3y+10−10=28−10
−3y=18
Step 4: Divide both sides by -3.
−3y/−3=18/−3
y=−6
Answer:
y=−6
Answer:
x=2.8
Step-by-step explanation:
If JKLMN and PQRST are similar then you can look the to other sides to find the ratio that relates the two. For this specific one you are able to fin 0.4 is the relationship.
NJ is related to TP by a factor of 1.4. -> NJ*1.4=TP -> 4*1.4=5.6
The rest can be said to relate all the other sides together.
