Which pairs of integers would have a negative product?

Mathematics

1 answer:

iVinArrow [24]3 years ago

4 0

Answer:

(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)

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3+2x=6y <br>6x+2y=5 <br>are these lines parallel, perpendicular or neither

nika2105 [10]

These lines are perpendicular
because if you graph them they intersect and form right angles.
another way you know that they are perpendicular is reciprocal slopes
meaning they are totally opposite or (flipped)

4 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

prisoha [69]

The volume of the prop is calculated to be 1,875.6 cubic inches.

Step-by-step explanation:

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 inches and the height is 12 inches.

The volume of the cone: $\frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.14) (8^{2}) (12)= 803.84$ cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).