Answer:
75 degrees
Step-by-step explanation:
30 + 75 = 105
180 - 105 = 75
The solutions to the given absolute value equation are:
x = −74 and x = 80
<h3>
How to solve the given equation for x?</h3>
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
If you want to learn more about absolute value equations:
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The range of the piecewise function would be from [2,infinity), or the second choice.
Answer:
For vectors given by their components: A = (Ax, Ay, Az) and B = (Bx, By, Bz), the scalar product is given by A · B = AxBx + AyBy + AzBz Note that if θ = 90°, then cos (θ) = 0 and therefore we can state that: Two vectors, with magnitudes not equal to zero, are perpendicular if and only if their scalar product is equal to zero.
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
