Answer:
138.23 in
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Step-by-step explanation:
Answer:
37 and 38
Step-by-step explanation:
let the consecutive integers be x-1 and x
If their sum is 75
x-1+x = 75
2x - 1 = 75
2x = 75+1
2x = 76
x = 76/2
x = 38
First integer = x - 1
First integer = 38-1 = 37
Second integer is 38
Hence the integers are 37 and 38
Answer:
Pizza parlor's profit = $515.344
Step-by-step explanation:
Given that:
Linear regression line for pizza parlor's profit
y = 2.009x - 37.131
x represents the number of pizzas sold
y represent the profit in dollars
Profit for 275 pizzas
Putting x = 275 in given equation
y = 2.009(275) - 37.131
y = 552.475 - 37.131
y = 515.344
Hence,
Pizza parlor's profit = $515.344
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?
12.5 units
15.0 units
17.5 units
20.0 units
according to the image, GF= GC + CF
CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem
that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )
GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0 units
Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.

Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given
. Plug in the equation (1), we get

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.