Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO
Answer: 25°
Step-by-step explanation:
From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.
The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:
= 55° - 30°
= 25°
Answer:
Subtract 5, double, subtract 5 doubled, so on.
According to PEMDAS, these are the steps for evaluating this equation -
3-9=-6
-6 x 5 = -30 - 1 = -31
-31 x 6 = -186, + 2 = -184
Now our first answer is -184 (I think this is correct)
Next thing we'll do is the second equation
8-2 = 6
6 x 7 = 42
42 + 4 = 46
Now, we can divide :) -184 / 46 equals -4
Hope this helps :D!