Answer:
arc DB length = 14π feet
Step-by-step explanation:
Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:
arc DB = 140° = 140°(π/180°) radians
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Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...
s = rθ
where r represents the radius and θ is the measure of the arc in radians.
The arc length is ...
s = (18 ft)(7π/9) = 14π ft
Arc DB has a length of 14π feet.
Answer:
Option B.
Step-by-step explanation:
Remember that the profit is defined as the difference between the revenue and the cost.
So, having a profit y = 0 means that the woodworker did not win nor lose anything.
Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.
In the graph we can see that the zeros are at:
x = 15 (the first one)
x = 70 (the second one)
so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
The correct option is B.
ANSWER
The right quotient is

EXPLANATION
The given expression is :



Recall that,

We apply this property to obtain;

Answer:
6 days ; 2300 calories
Step-by-step explanation:
Given the following :
Current consumption :
Simba = 1520 calories per day
Increases by 130 calories per day : After d days ;
S(d) = 1520 + 130d
Where ; d = number of days
Cuddle = 3380 calories
Decreases by 180 calories each day; after d days ;
S(d) = 3380 - 180d
Pattern continues until they both consume same number of calories each day
S(d) = C(d)
1520 + 130d = 3380 - 180d
130d + 180d = 3380 - 1520
310d = 1860
d = 6
Number of calories they will be consuming them ;
Using : S(d) = 3380 - 180d
S(6) = 3380 - 180(6)
S = 3380 - 1080
S = 2300
They will be consuming 2300 calories by then.
Answer:
I only know that it will be 28 mm tall but you have to be more specific