Answer:
(x, y) ≈ (-5.89, 1.16)
Step-by-step explanation:
We assume the CD is still accelerating at the same rate at the end of the given time period. The angular position will be found from ...
θ(t) = θ₀ + (1/2)a·t²
Filling in the numbers given, we get
θ(3.51) = (10π/180) + (1/2)(2.49)(3.51²) = 15.51306 . . . radians
The x-y coordinates will be found from ...
(x, y) = radius·(cos(θ), sin(θ)) ≈ 6·(-0.981066, 0.193674)
(x, y) ≈ (-5.89, 1.16)
_____
For the trig functions, the calculator must be in radians mode, unless you have converted the angles to degrees.
To find the maximum height you need to find the vertex:(h,k)
Your equation is in vertex form a(x-h)+k and the vertex is (h,k) where k is the maximum height and the h is the distance it went to reach the maximum height.
k=6 so the kangaroo's maximum height is 6 feet.
To find how long is the kangaroo's jump, take a look at the graph. You will notice that the parabola ends at the distance the kangaroo jumped. You will also see that it is the one of the x-intercepts.
-.03(x-14)^2+6=0
-.03(x-14)^2+6-6=0-6
-.03(x-14)^2=-6
-.03/-.03(x-14)=-6/-.03
(x-14)^2=200
[(x-14)^2]^.5=200^.5
x-14=(200)^.5
x-14+14=(200)^.5+14
x≈28.14 feet
The kangaroo jumped a distance of 28.14 feet.
You will notice that the square root of a number gives you two solutions a positive and a negative one. The other solution is -.14, which we know distance is not negative so we do not use that solution. Also, I used the ^.5 instead of using the square root. It is the same.
K · ( 0, 0 ) = ( 0 , 0 )
k · ( 0 , 4 ) = ( 0 , 10 )
k · ( 6, 0 ) = ( 15, 0 )
k = 15/6 = 10/4 = 2.5
Answer: The scale of dilation is 2.5
Answer:
What question
Step-by-step explanation:
Using proportions, considering the weight of each bar and the ratio, it is found that the ship is carrying 52 gold bars.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each bar weighs 5 kg, and the total weight is of 600 kg, hence the number of bars is given by:
n = 600/5 = 120.
The proportion of gold bars is given by:
p = 13/(13 + 17) = 13/30
Hence, out of 120 bars, the number of gold bars is given by:
nG = 120 x 13/30 = 4 x 13 = 52.
More can be learned about proportions at brainly.com/question/24372153
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