Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q =
- 
= 0
Sum of angles in a triangle = 
<P + <Q + <S = 
048° + 0
+ <S = 
+ <S = 
<S =
- 
= 
<S = 
Applying the Sine rule,
=
= 
= 
= 
= 
⇒ y = 
= 12.703
y = 12.70 km
= 
= 
= 
⇒ x = 
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Answer:
224
Step-by-step explanation:
<u>Base:</u>
A = Bh
A = 8(8) = 64
<u>Sides:</u>
A = 1/2 Bh
A = 1/2 8(10)
A = 40
<u>Then you do 40(4) because there are 4 sides:</u>
40 (4) = 160
<u>Then you add up the base and the sides:</u>
160 + 64 = 224
(I think this is the right answer)
This question is very oddly worded. The domain is the set of x-values, but this is a set of (x,y) ordered pairs.
I'm reading this question as "Here's a function, { (1,5), (2,1), (-1,-7) }. If this is reflected over the x-axis, what's the range?"
Assuming that is the question that is meant to be asked, reflecting a function over the x-axis will just change the signs of the y-values.
(1,5) -> (1,–5)
(2,1) -> (2,–1)
(-1,-7) -> (-1,+7)
I'd pick the third option.
Answer:

Step-by-step explanation:
Given function : 4x³ + ln(y²) + 2y = 2x
on differentiating both sides with respect to 'x', we get

or

or

or

or

or

or
