Total journey of bob was 108 miles .
<u>Step-by-step explanation:</u>
Here we have , Bob traveled 90 miles which was 83 1 3 % of his trip. We need to find How long was the trip .Let's find out:
According to question , Bob has traveled a distance of :
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Which is 
of his journey . So , Let total miles be x , So we have following equation framed according to question as :
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Therefore , Total journey of bob was 108 miles .
<h3>
Answer:</h3>
1.25 < y < 8.32124...
<h3>
Step-by-step explanation:</h3>
The least y can be is the value that makes the angle in the smaller triangle be zero. (This condition will exist when the difference of side lengths is 4.)
... 4y -5 = 0
... y = 5/4 . . . . . add 5, divide by 4.
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The greatest y can be is the value obtained when the triangle is isosceles. For the larger triangle, that makes the side lengths (s) be ...
... 3/s = sin(43°/2)
... s = 3/sin(21.5°)
Then for the smaller triangle, that makes the angle be ...
... 4y -5 = arcsin(2/s) = arcsin(2/3·sin(21.5°))
... y = 1.25 + arcsin(2/3·sin(21.5°))/4
... y ≈ 8.32124
Answer:
C.
Step-by-step explanation:
As seen below, the equation of a circle is (x - h)^2 + (y - k)2 = r^2.
In this case, h = the x-value of the center of the circle, which is -2, and k = the y-value of the center of the circle, which is 3. The radius r is 4.
(x - (-2))^2 + (y - (3))^2 = (4)^2
(x + 2)^2 + (y - 3)^2 = 16
This corresponds to answer choice C.
Hope this helps!
Step-by-step explanation:
[Taking a common from each term]
Hence,
