Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,



We know that, area of a sector is

Where,
is central angle, r is radius.




Multiply both sides by 360 degrees.


The value of x is 60 degrees.
Therefore, the correct option is A.
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The rotation transformations are ...
90° : (x, y) ⇒ (-y, x)
180° : (x, y) ⇒ (-x, -y)
270° : (x, y) ⇒ (y, -x)
Applying these to the given points, you get ...
9) A'(6, 9)
10) A'(15, 11)
11) A'(9, 6)
12) A'(-11, 15)
13) A'(6, -9)
14) A'(15, -11)
The amount of energy that the given amount of food contains is the product of the given content per grams and the amount of food in grams.
For this item, we assume that g(x) is the total energy that the howler monkey needs to obtain and x is the amount of food in grams. From the presented concept in the first paragraph,
amount of energy = (3.35 kcal/gram) x (amount of food)
<em>g(x) = 3.35x</em>
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The slope is ...
m = (7 -7)/(0 -4) = 0
The y-intercept is the point (0, 7), so the slope-intercept equation is ...
y = mx +b
y = 0·x +7
Simplifying this puts it in standard form:
y = 7