The answer b= 2h
the angle opposite to its base is a
so sina = b/2h= b/b=1
the answer is <span>b) 1</span>
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation:
Answer:
6*(6^-3)=0.027777 recurring
Step-by-step explanation:
6^0=1
6^-3=0.004629629 recuuring
0.004629629 recurring *6=0.0.02777recurring
Answer:
The volume of water in the vase is 
Step-by-step explanation:
A cylinder vase has a height, h, of 10 inches and its diameter of 3 inches. This means that its radius, r, is:
r = 3 / 2 = 1.5 inches
To find the volume of the water in the vase if the water raises to 9/10 of the way to the top, we first have to find the volume of the vase when it is filled with water and then, find 9/10 of that volume.
The volume of a cylinder is given as:

The volume of the vase will be:

Hence, the volume of the water in the vase when it is 9/10 filled is:

Approximating to the nearest cubic inch, the volume of water in the vase is 
Y² + 14y + 49 = 0
We know a² + 2ab + b² = (a + b)²
(y)² + 2 x 7 x y + (7)² = 0
(y + 7)² = 0
y = -7
y = -7
Correct option C