Answer: ~54.54 units squared, or 25*pi - 24
Step-by-step explanation:
To find this, we need to find both the area of the triangle and circle, and then subtract the area of the triangle from the area of the circle.
Area of triangle:
Area of circle:
To find the radius, we first need to find the hypotenuse of the triangle, which happens to be the diameter of the circle.
Pythagorean Theorem: , where a and b are sides and c is the hypotenuse.
6^2 + 8^2 = c^2
36 + 64 = 100, c = 10
Knowing that the diameter is 10, we also know that the radius is 5.
Area of the circle with a radius of 5 is 25*pi, or 78.54~
Area of the triangle with side lengths of 6 and 8 is 24.
78.54 - 24 = 54.54 units squared.
The Tampa Tribune expecting to add 700 new pictures per year to their database in 2041
<h3>The linear equation of the graph</h3>
The equation of the line of best fit is given as:
When the number of pictures added is 700, we have:
y = 700
Substitute 700 for y in
Subtract 367 from both sides of the equation
Rewrite the above equation as:
Divide both sides by 8
Remove decimal (do not approximate)
This means that:
Hence, the Tampa Tribune expecting to add 700 new pictures per year to their database in 2041
Read more about linear regression at:
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Slope is 7/3
Step-by-step explanation:
- Step 1: The equation of the line is 17 + 3y = 7x. Find the slope.
Slope intercept form is y = mx + b, where m is the slope.
⇒ 17 + 3y = 7x
⇒ 3y = 7x - 17
⇒ y = 7/3 x - 17/3
m = 7/3
⇒ Slope is 7/3
The range of the function the as given in the equation is; -∞ ≤ y < ∞.
<h3>What is the range of the function?</h3>
It follows from the task content that the function given is; y=3√x+8.
On this note, it follows that the range of the function is the set of all possible outputs, y values and in this case is; -∞ ≤ y < ∞.
It therefore follows that the range of the function is as indicated above as all X-values (domain) must be positive and the square root of x yields a positive or negative real number.
Read more on range;
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