Answer:
°
Step-by-step explanation:
The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equivalent to the arc surrounding it. One can apply this here by stating that the measure of the arc surrounding the (90) degree angle is (90) degrees.
The total degree measure of a circle is (360). Thus one can form an equation and solve it to find the measure of the arc surrounding the angle (b). Call the arc surrounding angle (b); ().
Simplify,
Inverse operations,
The peripheral angles theorem states that if the vertex of an angle formed between a tangent and a chord, is on the circumference (outer edge) of a circle, then the measure of the angle is equal to half of the measure of the surrouding arc. Please note that a chord is a line segment in a circle that intersects the circle in two points. A tangent is a line segment that intersects a circle at one point. One can apply this here by stating the following,
Substitute,
Solve,
Answer:
<em>16.5 gallons per minute.</em>
Step-by-step explanation:
The given table is:
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
Slope of a function:
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is <em>16.5 gallons per minute.</em>
Answer:
Center:(-6,-4)
Circumference:45.31
Area:163.4
Step-by-step explanation:
The given circle has diameter with endpoints P(-12,-8) and Q(0,0).
The center is the midpoint of P(-12,-8) and Q(0,0).
We use the midpoint rule to find the center.
Use the distance formula to find radius using the center (-6,-4) and the point on the circle (0,0) or (-12,-8).
The circumference is
The area is given by:
Answer: n=66
Step-by-step explanation:
2n -2 = n + 64 subtract 1n on both sides
- n - n The n’s cancel out
————————
1n - 2 = 64 Add 2 on both sides
+2 +2 The 2’s cancel out
——————-
1n = 66 Divide 1 on both sides
—- ——
1 1 The 1’s cancel out
n= 66
Check it :
2(66) - 2 = 66 + 64
132 - 2 = 130
130 = 130