Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
Easy way, visual
50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3
So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL
Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)
Answer:
$1.99 per lb
Step-by-step explanation:
Take the dollar amount and divide by the number of pounds
$7.96 / 4 lbs
$1.99 per lb
A. The multiplier is (1 +.055/12)^12 ≈ 1.0564079
b. The multiplier is (1 +.054/365)^365 ≈ 1.0554804
c. The multiplier is e^.045 ≈ 1.0460279
The rate 5.5% compounded monthly is the better choice.
Answer: 25.34 inches of precipitation
Step-by-step explanation: you have to subtract the precipitation from pensacola by the precipitation from Key West. so when you subtract the 2 you get 25.34 inches
