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
Answer:
3 meters per second.
Step-by-step explanation:
The formula for finding speed is: 
. D is distance. T is time. So in your case, you would divide 6.0 (distance) by 2.0 (time). Your answer is 3. Add meters per second because you divided meters/seconds.
Hope it helps!
Answer:
<h2>5</h2>
Step-by-step explanation:
If point T is on the line SU, then ST+TU = SU. Given TU=4x+1, SU=8, and ST=3x
Substituting the given values into the expression ST+TU = SU
8 = 3x+4x+1
8 = 7x+1
collect like terms;
7x = 8-1
7x = 7
Divide through by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the expression TU = 4x+1 to get the length of TU
TU = 4(1)+1
TU = 4+1
TU = 5
<em>Hence the length of TU is 5</em>
Answer:
∠1=54°
∠2=54°
∠3 = 126°
Step-by-step explanation:
We need to find ∠1, 2 and 3
Since a traversal cut parallel lines we would use supplementary angles , congruent angles rules to solve the problem.
Angle 1 and 126 are supplementary angles.
They add up to make 180
So, ∠1 + 126 = 180
∠1 = 180-126
∠1 =54
We get ∠1=54°
Now, ∠1 ≅ ∠2, because they are corresponding angles and if traversal cut parallel lines, corresponding angles are congruent.
So ∠1 ≅ ∠2 therefore, ∠2=54°
Now, for finding measure for ∠3, we know that 126 and ∠4 are corresponding angles and corresponding angles are congruent.
So, ∠4 = 126°
We know that ∠3 and ∠4 are vertical angles.
And if traversal cut parallel lines, vertical angles angles are congruent.
So, ∠3 = 126°
Answer:
12.6
Step-by-step explanation:
