Marco paid $22.62 for 7.8 gallons of gas. What is the price of 1 gallon of gas
2 answers:
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Given:
The data point is (3,10.5).
The prediction equation is .
To find:
The value of the residual for this data point.
Step-by-step explanation:
The data point is (3,10.5). So, the actual value is 10.5 at .
Prediction equation is
Putting , we get
The formula for residual is:
Residual = Actual value - Expected value
Therefore, the residual for the given data point is 16.3.
For the given triangle, the tan of angle A equals C. .
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
cos A = .
Step 2; The opposite side's length = 15 units,
The adjacent side's length = 36 units.
cos A = , dividing the numerator and the denominator by 3, we get
cos A = , which is option C.
Decoding the LaTeX that didn't render, we seek sum of the angles of the seventh roots of
That's on the unit circle, 45 degrees into the third quadrant, aka 225 degrees.
The seventh roots will all be separated by 360/7, around 51 degrees. The first seventh root has
That's around 32 degrees.
The next angle is
The next one is
and in general
The first sum is just -135° since it's one seventh of the sum of seven -135s.
We have 1+2+3+4+5+6+7 = (1+7)+(2+6)+(3+5) + 4 = 28 so
If I didn't screw it up, that means the answer is
Answer: 1305°