Given BD and AC is a diameter of the circle:
We need to find the following:
1. measure of the arc BA
So,
the measure of the minor arc BA = 44
The measure of the major arc BA = 360 - 44 = 316
2. the measure of the arc ACB = 360 - 44 = 316
3. The arc BCD is a semicircle of the circle
So, the measure of the arc BCD = 180
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
The answer must have to be 40
Answer:
2 weeks
Step-by-step explanation:
Given in the question that,
Equation that represent Lisa's total amount of money
f(x) = 20 - 13x
Equation that represent Joey's total amount of money
g(x) = x² - 10
To find weeks, x, after which they will have same amount of money, we will equate both equation
<h3>20 - 13x = x² - 10</h3>
x² - 10 - 20 + 13x = 0
x² - 30 + 13x = 0
x² + 13x - 30 = 0
(x - 2)(x + 15) = 0
x = 2 or x = -15
Weeks, x, can not be negative so we will reject x = -15
Hence, after 2nd week Lisa and Joey will have the same amount of money save.
