The graph of 
is shown in the graph below.
The graph is of ∩-shape when the constant
of the quadratic equation 
is negative
The graph is of ∩-shape when the constant
Larry works 15 days for a total of 532.25 hours.How many hours did he average per day?
1 answer:
He works average 35.483... hours per day.
<em><u>Explanation</u></em>
Suppose, Larry works average hours per day.
As he works for 15 days, so the <u>total number of hours</u> he worked hours.
Given that, he works 15 days for a <u>total of 532.25 hours</u>. So the equation will be....
So, he works average 35.483... hours per day.
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Answer: 26.457 cm
Explanation:
First, the height of an equilateral triangle of side length a is:
In this case, the side-length of the triangles is a = 10cm, then the height will be:
Now we can think on a triangle rectangle such that:
Point A and point F are vertexes of the triangle.
The line we want to find, the line from A to F, is the hypotenuse.
One cathetus is a the height of the triangle, that comes down from point A, the length of this cathetus is 8.66cm
The other cathetus is equal to half the side length of the triangles (5cm) plus the segments BD and DF (of 10cm each)
Then the length of this cathetus is 10cm + 10cm + 5cm = 25cm
Now, we can remember the Pythagorean theorem.
If H is the hypotenuse, and A and B are the catheti, then we have:
A^2 + B^2 = H^2
In this case, we know the length of both cathetus, and want to know the length of the hypotenuse, then:
(25cm)^2 + (8.66cm)^2 = H^2
√( (25cm)^2 + (8.66cm)^2) = H = 26.457 cm
Then the line from A to F is 26.457 cm