Answer:
?
Step-by-step explanation:
To solve this, we are going to use the formula for the area of the sector of a circle:
where
is the area of the circular sector.
is the radius of the circle.
is the central angle in radians.
We know form our problem that that the measure of the central angle is 1 radian, so
. We can also infer from the picture that the radius of the circle is 3in, so
. Lets replace those values in our formula to find
:
We can conclude that the area of the circular sector in the picture is
4.5 square inches.
To prove that the arc length is indeed 3 inches, we are going to use the formula:
where
is the arc length.
us the radius of the circle.
is the central angle.
We know from our problem that
, and
, so lets replace those values in our formula:
We can conclude that the length of the arc is indeed
3 inches.
Answer:
Step-by-step explanation:
We have been given that on a compass, due east is a 1/4 turn clockwise from due north.
Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.
To find the number of degrees in a one-fourth turn, we will divide 360 by 4.
Therefore, there are 90 degrees in a 1/4 turn of compass.
A
First, I’m going to the line is question into slope intercept form.
y + 10 = -5x + 5
y = -5x + 5 -10
y = -5x -5
y + 10 = -5 (x - 1) becomes y = -5x -5 in slope intercept form. I will call this line ‘line 1’
A becomes y = 5x -15 in slope intercept form
B becomes y = -5x + 25 in slope intercept form
C becomes y = -5x -5 in slope intercept form
D becomes y = -5x + 10 in slope intercept form
C is the same line as line 1. Any point that is on line 1 is also on line C, so C cannot be it.
Notice that line B and D have the same slope but different y-intercepts as line 1. That means these lines are parallel (not the same line though - different y intercepts) to line 1, so they will never intercept.
Line A has a different slope vs line 1, so they will eventually intersect only once
There are a total of 8 possible outcomes by spinning each spinner one after the other giving the different listed possible outcomes.
- (W1, W2, W3, W4, B1, B2, B3, B4)
First spinner :
- Possible outcomes = 1, 2, 3, 4
Second spinner :
- Possible outcomes = Black(B) , white(W)
Combined sample space :
- ____1 ___ 2 ____ 3 _____ 4
- W__W1 __W2__W3 ____W4
- B__ B1 __ B2 __ B3 ____B4
THEREFORE, the possible outcomes are :
- (W1, W2, W3, W4, B1, B2, B3, B4)
Learn more :brainly.com/question/18153040