Area of a triangle = 1/2 x base x height.
Replace are and base to get:
82.5 = 1/2 x 15 x height
Multiply both sides by 2:
165 = 15 x height
Divide both sides by 15:
Height = 165 / 15
Height = 11 inches.
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the question we are told that:
Arc 
Arc 
Given The angle of intersecting chords theorem
Generally the equation for angle BEC is mathematically given by
Answer:
a) 87.7
b) g(t) = f(t)/2.2
Step-by-step explanation:
The number of pounds is 2.2 times the number of kilograms, so we have ...
f(t) = 2.2·g(t)
a) On day 37, Chase's weight in kg is ...
f(37) = 2.2g(37)
193 = 2.2g(37)
g(37) = 193/2.2
g(37) ≈ 87.7
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b) Rearranging the equation we started with, we have ...
g(t) = f(t)/2.2
For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
