Answer:
23. b
24. c
25. b
26. c
Step-by-step explanation:
23. In problem 21, you found the coefficient matrix to be ...
Its determinant is ...
(2)(2)(3) +(-3)(-4)(-3) +(1)(1)(-2) -(-3)(2)(1) -(-2)(-4)(2) -(3)(1)(-3)
= 12 -36 -2 +6 -16 +9 = -27 . . . . choice b
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24. Looking at the equation involving x11 terms, we have ...
-3x +7 = 10
-3x = 3 . . . . . subtract 7
x = -1 . . . . . . divide by -3 . . . . matches choices A and C
We note that choices A and C differ in their values for x22, so we consider the equation for that:
-3x -3 = -18
x + 1 = 6 . . . . . . . divide by -3
x = 5 . . . . . . . . matches choice C
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25. Dx will be the determinant of the matrix with the constants in the first column. Choice B is the only one that matches.
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26. The value of Dx is -78 +24 = -54. The determinant of the coefficient matrix is (5)(6) -(-3)(-4) = 30 -12 = 18. So the value of x is -54/18 = -3, which matches choice C.
Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°
The value of x will be equal to x = 79.
<h3>What is the triangle?</h3>Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.
The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-
Angle = 180 - 142 - 19 = 19
Now applying Lami's theorem in the triangle we will get the third side.
x = 79
Therefore the value of x will be equal to x = 79.
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