Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
Answer:
120+(10+2x)=180
10+2x=60
2x=50
x=25degreeeee
Step-by-step explanation:
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Answer:
1.) the answer is the fourth one, 1/5^7
2.) the answer is the fourth one, 1/5^6
3.) the answer is the fourth one, (2^6)^-5
4.) this is seems to be a duplicate of the first one
Step-by-step explanation:
1.) by 'adding' 4 exponent values on the top it simplifies the top to simply one and 5^7 on the bottom
2.) since this is an exponent of an exponent multiply them, getting 5^-6, then simplify negative exponents.
3.) exponents of exponents are multiplied
Answer: 3 + 7i
Step-by-step explanation:
Equation expanded: 12 + 5i - 9 + 2i // now simplfy
12 - 9 = 3
5i + 2i = 7i
// together, we get
3 + 7i
Step-by-step explanation:
The domain is all the possible x values. Here, the smallest x value is 1, and the largest x value is 4.
1 ≤ x ≤ 4
