Answer:
Step-by-step explanation:
Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.
The 4-by-10 triangle: The area is 
.
The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is 
.
The 4-by-4 triangle: The area is 
.
The other 4-by-4 triangle has the same area, 
.
The total area is 
.
Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
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The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
Explanation:
The domain is the <em>horizontal extent </em>of the graph of the function. It is the set of all values of the independent variable for which the function is defined.
In a table or list of (x, y) or (x, f(x)) values the domain is the list of x-values.
On a graph, the domain is the horizontal extent of the graph, excluding any "holes" or vertical asymptotes. (The function is "undefined" at those places.)
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For a polynomial, the domain is generally "all real numbers."
For rational functions, the domain always excludes any x-values that make any denominator be zero.
For functions such as logarithms or roots, the domain is the set of values for which the function is defined. Even roots (square root, 4th root, ...) are only defined for non-negative numbers. Logarithms are only defined for positive numbers.
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In some problems, a model is often used that is defined for all values of the independent variable. For example, a height function may be modeled using a quadratic: h(t) = -4.9t^2 +30t +6. This is defined for all values of t, but the "<em>practical domain</em>" is the set of values of t ≥ 0 and before h(t) = 0. That is, we don't care about negative time or negative height.
Hello There!
The volume for a cylinder is Pi*r^2*h
We are going to leave our Answer in terms of pi so first we need to square our radius which we know is 5
Our radius is 25 because we squared 5. Next, we need to multiply 25 by our height which is 11.
25 multiplied by 11 is 275 so our Answer would be 275
