(PLEASE HELP ASAP)
1 answer:
9514 1404 393
Answer:
A. 3×3
B. [0, 1, 5]
C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.
Step-by-step explanation:
A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.
This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...
A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)
Matrix A is 3×3.
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B. The second row of A represents the second equation:
The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.
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C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)
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The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.
How do I calculate a circle's circumference?
A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).
Given: theta angle (central) = 7.2°; arc length S = 800 km
This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).
By definition, "An arc's length is a portion of a circle's diameter."
Therefore, we must first establish what percentage of the circle the specified arc length represents.
360° is a complete circle.
Thus, the fraction equals 7.2°/360°, or 1/50.
As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.
Thus, the whole circumference is 800 x 50, or 40000 km.
Alternately, you can calculate circumference using the formula below:
360° center angle x arc length as the circumference (theta)
Values substituted: circumference 800 = 360° 7.2°
circumference = 360°, 800°, and 7.2°, or 40000 kilometers
Therefore, the earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.
Learn more about Circumference
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