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Anton [14]
3 years ago
8

V=by(for b) volume of prism

Mathematics
1 answer:
Simora [160]3 years ago
8 0
V = by
Solve for b.

Divide both sides by y to isolate b.

b= \frac{V}{y}
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Simplify the expression by combining like terms.<br> 7.2(x + 3) + 4(x - 3)
siniylev [52]

Answer: 11.2x -9.6

Step-by-step explanation:

7.2(x + 3) + 4(x - 3) -  12       - 7.2* (x + 3) + + 4*(x - 3) then

7.2x + 21.6 + 4x -  12  - Combining like terms 7.2x+ 4x  and numbers + 21.6-  12          

7.2x + 4x +21.6 -12       Then we have

11.2x -9.6

3 0
3 years ago
Find x and y on a 30 60 90 triangle number 9
worty [1.4K]

Answer:

x=12, y=12 \sqrt{3}

Step-by-step explanation:

Please see attached picture for full solution.

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7 0
3 years ago
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
1st answer will be brainliest
dsp73
1. 15*13=195
2. 7*13=91/2=45.5
3. 7*13=91/2=45.5

4. 195+45.5+45.5=286 units squared

hope this helps!
6 0
3 years ago
Benjamin buys a candy apple that was on sale for 20% off he paid with a five dollar bill and received 1.80 dollars in change wha
seraphim [82]

Answer:2.2

Step-by-step explanation:

3 0
3 years ago
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