Answer:
Distance between plane and airport is 134.4 miles.
Step-by-step explanation:
Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.
To find : How far is the plane from the airport.
Solution : Distance from airport to west is 150 miles and then 170 miles in the direction south and angle form is S 49.17° W
Refer the attached picture for clearance.
Applying law of cosines


where a= 150 miles
b=170 miles
C= 49.17° angle in degree
c = distance between plane from the airport
Put values in the formula,






Therefore, Distance between plane and airport is 134.4 miles.
Answer:
3 cups of water
Step-by-step explanation:
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of corn grits?
Expand 1/2 to 2/4, if there is 1 1/2 cups of corn grits, that means that 1/4 cups of corn grits was used 6 times, 1/2x6=3. He will need 3 cups of water
Answer:
See below ↓
Step-by-step explanation:
We have a graph given to us.
⇒ Take the points to form an equation!
<u>The points</u>
<u>Making an equation</u>
- Find the slope
- m = 1 - 6 / -2 - 4
- m = -5 / -6
- m = 5/6
- Take one of the two points and substitute in the equation :
- ⇒ y - y₁ = m (x - x₁)
- ⇒ y - 6 = 5/6 (x - 4)
- ⇒ y - 6 = 5x/6 - 10/3
- ⇒ <u>y = 5x/6 + 8/3</u>
- ⇒ or <u>6y = 5x + 16</u>
Answer: 41,850.2 ft^2
Step-by-step explanation:
125.3*334=41,850.2 ft^2
Answer:
The solution of the given equations is (-3,2)
Step-by-step explanation:
<u>Step:1</u>
The Given equations are 2 x+3 y=0 .......(1)
x+2 y-1 =0.........(2)
<u>Step 2:-</u>
Solving<u> </u>both equations by using substitution method
multiply equation (2) with number '2' ,
2 x+4 y-2=0.......(3)
subtracting the equations (1) and (3) and cancelled 'x' terms
we get 

<u>Step 3:</u>-
substitute y= 2 in equation (1) we get




<u>Final answer</u>:-
The solution of the given equations is (-3,2)