Answer:
54
Step-by-step explanation:
BEDMAS
z=10
(10)3-3(2-10)
=(10)3-3(-8)
=30-(-24) *2 negatives = a positive
=30+24
=54
Answer:
15092cm^3
Step-by-step explanation:
The total thickness of the strip of metal sheet would be 2*10=20cm
the new radius of the cylinder would be 9/2+20=24.5cm
Volume of a cylinder: ((pi)r^2)h
the height is 8cm
Volume : (22/7)*24.5^2*8
=15092cm^3
Answer:
factor is the answer
Step-by-step explanation:
I took the test
<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
Answer: Bottom-Right corner
The points are (-5,6) (-5,-6) (4,-6)
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Explanation:
What you do is go through each of the answer choices, plot the points, and see which give you a right triangle. A right triangle has one 90 degree angle.
The upper-left choice leads to an obtuse triangle, so we can cross that off the list. It turns out that the other choices lead to right triangles.
The upper-right choice has a hypotenuse of roughly 11.18, so that's also eliminated
The bottom-left choice has a hypotenuse of 10.82, which means we cross that off the list
The bottom-right choice has a hypotenuse of 15, so we found the answer
Note: you use the distance formula to find the length of the hypotenuse. The distance formula is
d = sqrt((x1-x2)^2+(y1-y2)^2)
