Answer:
2.55
Step-by-step explanation:
Draw a picture of the triangle formed by points P, A, and B. The angle of the line from P to A is 225°. The angle of the line from P to B is 116°. The angle of the line from B to A is 258°, and the length of the line is 3.91.
The easiest way to solve this is by first finding the angle of the line from B to P. Using interior angles, we can show that this is 180° − 116° = 64°.
Next, we can show that:
∠APB = 225° − 116° = 109°
∠ABP = 360° − (258° + 64°) = 38°
Finally, we can use law of sines to find AP.
AP / sin 38° = 3.91 / sin 109°
AP = 2.55
Answer:
Step-by-step explanation:
Use this to help; starting out, this is coordinate plain, NOT TO SCALE.
Use the coordinates to figure out midpoints. If you don't know how to, look up the calculation method for it.
Sorry I couldn't help out more, gotta get back to essay.
Answer:
12 pints
Step-by-step explanation:
There are 24 students & each one gets 1 cup, so you will need 24 cups total. There are 2 cups in a pint. You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.
You can double check: 12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups
Answer:
I don't remember well, and I'm not sure if this is correct, but, I think the answer is This is beacuse ∠FCD are facing with ∠CDG meaning it would be a same side interior angle.
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
