Step-by-step explanation:
Let the number be x.
<u>1</u><u> </u> =8 + x
6
6×<u>1</u>=6×8+6×x
6
1=48+6x
1-48=6x
<u>-</u><u>4</u><u>7</u>=<u>6</u><u>x</u>
6. 6 x = -7 <u>5</u>
6
x is equal to minus seven whole number five divided by six.
Answer:
170
Step-by-step explanation:
That's a rectangular prism.
And the formula to find the volume of a rectangular prism is:
Plug in what we know:
Multiply the three numbers together:
Answer: There are two solutions and they are
theta = 135
theta = 225
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Explanation:
Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.
It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:
theta = 135
theta = 225
You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.
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I recommend using your calculator to note that
-sqrt(2)/2 = -0.70710678
cos(135) = -0.70710678
cos(225) = -0.70710678
The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.
Step-by-step explanation:
x²+7x+12
x²+4x+3x+12
x(x+4)+3(x+4)
(x+3)(x+4)
hope it helps
