Answer: B) 72°
Step-by-Step Explanation:
We know, the Angles of a Triangle sum up to 180 degrees (A.S.P)
Ratio of Angles = 4 : 5 : 6
Therefore, framing the Equation :-
=> 4x + 5x + 6x = 180
Therefore,
4x + 5x + 6x = 180
9x + 6x = 180
15x = 180
x = 180/15
=> x = 12
Finding each Angle :-
4x = 4 * 12 = 48°
5x = 5 * 12 = 60°
6x = 6 * 12 = 72°
Therefore, the largest angle is 72°
The answer is 40 because a quarter of 40 is 10
X^2 + y^2 - 2x + 7y + 1 = 0
(x^2 - 2x) + (y^2 + 7y) + 1 = 0
(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1
(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1
(x - 1)^2 + (y + 7/2)^2 = 49/4
(x - 1)^2 + (y + 7/2)^2 = (7/2)^2
The final answer is choice B
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
The question is:
The area of a circular sunspot is growing at a rate of 600 km ^ 2 / sec.
b. How fast is the radius growing at the instant when the sunspot has a area of 640,000 km ^ 2? (Round your answer to 4 decimal places).
For this case the first thing we should know is that by definition the area of the circle is given by:
A = pi * R ^ 2
Where,
R: radio
We must first determine the radius:
R = (A / π) ^ 0.5
R = (640000 / π) ^ 0.5 km
Then, we derive the equation:
A '= pi * (2RR')
We cleared R '
R '= (A') / (2 * π * R)
Substituting values:
R '= (600) / (2π (640000 / π) ^ 0.5)
R '= 0.2116 km / sec
Answer:
the radius is growing at:
R '= 0.2116 km / sec
