The height of the jewelry box is 1.75. because the equation of a rectangular prism is V=Bh. so we already know the volume and the base so you just divide them and you get your height.
2/3x - 1/2y = 3 |multiply both sides by 6
4x - 3y = 18
1/2x + y = 5 |multiply both sides by 2
x + 2y = 10
Answer: B) 4x - 3y = 18 and x + 2y = 10
I assume by the length you mean height so,
≈ <span>4.54
.
if you're supposed to round it, it'd be either 4.50, or 5
</span>
I hope this helps
Using the formulas here: http://www.1728.org/diamform.htm
A) Volume = <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =
<span>
<span>
<span>
500.0011692175
</span>
</span>
</span>
radius =
<span>
<span>
<span>
22.3607059195
</span>
</span>
</span>
radius (rounded) = 22.4 cm
B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base =
<span>
<span>
<span>
1,570.7963267949
</span>
</span></span><span><span>Area of base (rounded) =
</span>
1,570.8 square cm
</span>
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area =
<span>
<span>
<span>
1,125.9468070466
</span>
</span>
</span>
lateral area =
1,125.9 <span>square cm
D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span>
<span>
<span>
<span>
4,267.5
</span>
</span>
</span>
square cm
Answer:
2x+3x=5x
Step-by-step explanation:
The reason for this answer is algebra. Since you give a full explanantion on it I'm not sure if I answered it correctly. But here is what I think from what you gave of the question.
