What is the length of the hypotenuse of the triangle
2 answers:
Answer:
The correct option is 4.
Step-by-step explanation:
According to the Pythagoras theorem, the sum of squares of two legs of a triangle is equal to the square of the hypotenuse of the triangle.
From the given figure it is clear that the length of one leg is 4 ft and the length of second leg is 7 ft.
Using Pythagoras theorem, we get
Taking square root both the sides.
The length of the hypotenuse is √(65) ft . Therefore the correct option is 4.
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Answer:
x = 50°
Step-by-step explanation:
Recall that for a triangle, the exterior angle is equal to the sum of its two remove interior angles (also see attached for reference).
in our case, the exterior angle is given as 105° and its two remote interior angles are x and 55°
therefore
105° = 55° + x
x = 105° - 55°
x = 50°
Answer:
a) The demand function is
b) The nightly revenue is
c) The profit function is
d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:
Since the demand takes the value 79 in 7, then
b) The nightly revenue can be found by multiplying q by p
c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)
d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P
Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.