Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
Answer: The total profit is $129
Step-by-step explanation:
The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)
The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:
Profit = $147 - $18 = $129
This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Step 1
Find the length of MD
we know that
The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle
so
In this problem
------> is the radius of a circle inscribed inside the triangle
we have that
therefore
Step 2
Find the length of DC
we know that
In the right triangle MDC
Applying the Pythagoras theorem
we have
substitute
c.y+3=f(x) and 0+3 therefore x=3
Answer:
y = 2x - 200
Step-by-step explanation:
The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:
y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.
