Answer:
- amberjack, 21 lbs
- kingfish, 42 lbs
- white marlin, 84 lbs
- tarpon, 105 lbs
Step-by-step explanation:
Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...
- k = 2a
- m = 2k
- t = 5a
- k + a + m + t = 252
Using substitution, we can rewrite the last equation as ...
... (2a) + (a) + 2(2a) + (5a) = 252
... 12a = 252 . . . . . collect terms
... a = 21 . . . . . . . . .divide by 12
Then k = 2a = 42; m = 2k = 84; t = 5a = 105.
First need to find the length of line LJ
Line LJ = 8sqrt2 * sin(30) = 5.6569
now use that to find x
x = 5.6569 * sin(45) = 4
The distance the bird has flown by the time Alice and Bob meet is 40 feet.
Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.
Distance equals speed multiplied by time.
Distance between Alice and Bob=1000 feet.
Distance between the bird and Bob=1000 feet.
Speed of Alice and Bob=10 feet per second.
The combined speed of Alice and Bob=20 feet per second.
Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)
The time covered at the meeting point=20 second (1000/50)
Speed of the bird=20 feet per second.
The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).
Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.
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Answer:
The maximum height of the projectile is 90 ft
Step-by-step explanation:
Here, we want to get the maximum height reached by the projectile
The answer here will be the y-coordinate value of the vertex form of the given equation
so firstly, we have to write the equation in the vertex form
We have this as;
y = -16t^2 + 64t + 26
That will be;
y = a(x-h)^2 + k
y = -16(x-2)^2 + 90
where the vertex of the equation is;
(-h,k)
K
in this case is 90 and thus, that is the maximum height of the projectile
Answer:
24
Step-by-step explanation:
22 - 8 = 14
14/2 = 7
Pythagoras theorem
25 squared -7 squared = 576
square root of 576 = 24
