Volume of the cylinder = hr²π
diameter = 2 × radius
16 = 2 × r
r = 16/2
r = 8 mm
V = hr²π
V = 12 × 8² × π
V = 12 × 64 × π
V = 768π mm³
Answer:
D. 3
Step-by-step explanation:
To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.
All we can do now is insert the values of the points into the equation.
-8-7/-4-1=m
-15/-5=m
3=m
Thus, the slope is 3.
Hope this helps!
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Answer:
x=1
Step-by-step explanation:
3x+3=5+x
3x-x+3=5
2x=2
x=1
Answer:
$598
Step-by-step explanation:
2 x 299 = 598 so Apple is charging $598 for the new phone.
