The shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.
<h3>What is the law of cosine?</h3>
When the two sides of and one angle is known, then to find the third side, the law of cosine is used.
It can be given as,
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
An airplane departs airport A at a heading of 300 (N 60 W). After traveling 320 miles, the airplane adjusts its course to 350 (N 10 W) and flies an additional 112 miles to reach airport B.
The image of this problem is attached below. In this image, the two sides 112 miles and 320 miles are shown and the angle between them is 130 degrees. Thus, the value of x is,
Hence, the shortest distance between the airport A and airport B travels by airplane which departs airport A at a heading of 300 (N 60 W) is 401 miles.
Learn more about the law of cosine here;
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This game isn't too bad.
We have a proportion which represents another number.
Basically the problem states that the ratio:
22/40 is applicable to the ratio of:
# Wins / # Games
I'll represent the # Wins with the letter W.
and I'll represent the # of Games with the letter G.
So we simply set them equal to each other.
22/44 = W / G
They gave us G = 162 games
22 / 44 = W / 162
Cross multiply. So, the denominator on the left side of the equation will multiply with the numerator on the right. While the denominator on the right multiplies with the numerator on the left.
44*W = 22*162
You'll probably need a calculator for 22*162, but you can use long multiplication if it isn't allowed.
44W = 3564
Divide 44 on both sides.
W = 3564 / 44
W = 81
C. 81 is our answer!
Answer:
y=2/15x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-3))/(-15-0)
m=(-5+3)/-15
m=-2/-15
m=2/15
y-y1=m(x-x1)
y-(-3)=2/15(x-0)
y+3=2/15(x)
y+3=2/15x
y=2/15x-3
When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
Just evaluating we get 4
3x<12 divide that by 3x on both sides, x will equal 4 so it will be x<4
