Answer:
44 degrees
Step-by-step explanation:
These segments form a triangle which is equal to 180 degrees. Since it forms a tangent to the circle, it forms a perpendicular angle with measure 90 degrees.
So 180 - 90 - 46 = Angle J
90 - 46 = Angle J
44 = Angle J
Answer:
285
Step-by-step explanation:
The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.
We also know that the area of the circle is 
but we are finding a portion of that, therefore we would need to multiply it by 
. The radius is also given which is 11.
Area of the shaded region = 
= 285
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
Answer:
Student A: Testing plant growth in different types of soils
Student B: Comparing the water level in a lake during different times of the year
Step-by-step explanation:
Student A because it requires a hypothesis
Student B because it requires a hypothesis Student
A because it can be done in natural settings
Student B because it can be done in natural settings
I suppose you mean to have the entire numerator under the square root?
We can use a trigonometric substitution to start:
Then for 
, 
; for 
, 
. So the integral is equivalent to
We can write
so the integral becomes
