In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.
If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.
Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.
Make sure you draw a diagram of it!!
1. To <span>Calculate the resultant speed of the plane, you need to find the speed of the air, add it to the plane speed, then find the resultant using trigonometry.
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The velocity of the plane:
east=400 knots
The velocity of the air
50knots north east = 50/√2 north + 50/√2 east
The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots
2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots
tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35
tan a=0.0812
a= 4.6 degrees
Answer:
I believe the answer is $105.
Step-by-step explanation: Because the interest is not compounded, that means that the formula would be 100(.05)(1), and then adding that number (5) to the answer, which is 105.
Answer:
y = -x - 2
Step-by-step explanation:
Use equation: y = mx + b, where "m" is the slope and "b" is the y intercept. You are given a slope of -1 for the m. This is usually expressed as just a "-", as the 1 is inferred.
Since you are given a point, plug the x and y values in to the equation.
-7 = -(5) + b
Solve for b:
-7 = -5 + b
-2 = b
Knowing "m" and "b", plug these in to get your final equation
y = -x - 2
Answer:
8
Step-by-step explanation:
You just find the prime factors of each number in order to find the GCF.