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.
Hello,
Q and R are independent if p(Q and R)=p(Q)*p(R)
Here p(Q and R)=0.63-0.48=0.3024
ANSWER B
Hilda bought 15.11 lb of pork.
Step-by-step explanation:
Cost of Beef that Hilda bought = 4 17/20 = 4.85 lb
Cost of the total meat she bought = 19 24/25 = 19.96 lb.
To find the number of pounds of pork she bought, subtract.
Number of pounds of pork she bought = 19.96 - 4.85 = 15.11 lb.
<u>Given</u>:
The given circle with center at C. The lines AB and AD are tangents to the circle C.
The length of AB is (3x + 10)
The length of AD is (7x - 6)
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".
We shall determine the value of x using the above property.
Thus, we have;
AB = AD
Substituting the values, we get;

Subtracting both sides of the equation by 7x, we get;

Subtracting both sides of the equation by 10, we get;

Dividing both sides of the equation by -4, we get;

Thus, the value of x is 4.
Answer:
139.888 $
Step-by-step explanation:
Data :
15 ft = 24.98$
So
1 yard = 3 ft
15ft / 3 ft = 5 yard
So
5 yard = 24.98$
28 yd / 5yd = 5.6
5.6 × 24.98 = 139.888