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castortr0y [4]
3 years ago
10

Given that a = -2 and b = -3, evaluate a(a² + b²)

Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

{ \tt{a( {a}^{2}  +  {b}^{2} )}}

Substitute the variables:

{ \tt{ - 2( {( - 2)}^{2}  +  {( - 3)}^{2} }} \\  = { \tt{ - 2(13)}} \\  = { \tt{ - 26}}

{ \tt{ \underline{ \blue{becker{ \green { \:  \: jnr}}}}}}

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3. 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
Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

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 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 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).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0
3 years ago
40 points! Brainliest for most helpful answer!
telo118 [61]

Answer:

the answer is in the image if you have any questions let me know

Step-by-step explanation:

5 0
3 years ago
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