Answer:
Triangles ABC and DEF have the following characteristics :B and E are right angles A=D, BC=EF which congruence theorem can be used to prove ABC =DEF
Answer:
the answers are all bold below
Step-by-step explanation:
Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.
Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b.
Trigonometric area formula: Area = One-half a b sine (C)
Which expressions represent the area of triangle ABC? Select three options.
a c sine (60 degrees)
One-half b c sine (60 degrees)
One-half a squared sine (60 degrees)
StartFraction a squared b sine (60 degrees) Over 2 EndFraction
StartFraction a b sine (60 degrees) Over 2 EndFraction
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
From 2000 to 2011, there are 11 years. From the given function, we can calculate the profit for a small business at the end of 2011 by substituting 11 to the x of the given equation.
y = (30,000)(1.06)(11)
y = 349,800
Thus, the profit at the end of 2011 is approximately $349,800.