Answer:
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.
The architect earns $47000 yearly and the lawyer earns $68,000 yearly.
<h3>How to solve algebra problems?</h3>
Let x = salary of architect, in thousands
Let 2x - 26 be the salary of lawyer, in thousands
Thus, if their salary combined is $214 thousand, then we have the algebra expression;
2x + 2x - 26 = 214
4x - 26 = 214
4x = 214 - 26
4x = 188
x = 47, in thousands.
The architect earns $47000 yearly
The lawyer earns 2(47000) - 26000 = $68,000 yearly
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Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
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The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
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The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
Answer:
F=Fahrenheit and C=Celsius
Step-by-step explanation:
<span><span>x = x^2 - 30
or
x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0
x = +6 is the positive number</span></span>
