Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:

Plug in vertex to find value of 'a'

Now find the focus given that


Answer: the microphone should be placed 7.5 inches from vertex.
Step-by-step explanation:
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Answer:
-60p - 1
Step-by-step explanation:
Distribute the parenthesis then add like terms together.
Step 1: Distribute
6 -60p - 7
Step 2: Combine like terms
-60p - 1
The restaurant served 70 specials in all, 80% of which were salmon filets. It says to find salmon filets that the restaurant served last night.
So we just need to find 80% of 70.
Therefore, Number of Salmon Filets = 0.8*70 = 56.
Hence, the restaurant served 56 salmon filets.
Answer:

Step-by-step explanation:
<u>Area of a Compound Shape</u>
The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.
The area of a circle of radius r is:

The area of a triangle of base b and height h is:

Calculate the area of the circle:


Area of half the circle:

Area of the triangle:


The area of the shaded shape is:

Substituting the value of pi:
