The frustum can be considered as consisting of a square pyramid, less the
cut volume.
- The mass of the stand, is approximately 18.60905 kg
Reasons:
The given parameter of the frustum are;
The density of the frustum, ρ = 85 g/cm³
Height of pyramid, h = 9 cm
Side length of base = 10 cm
Height of frustum
By proportional shapes, the side length of the top of the frustum can be found as follows;
B₁ = 10², B₂ =
Therefore;
The volume of the stand, V ≈ 218.93 cm³
Mass = Volume × Density
∴ Mass of the stand, m = 218.93 cm³ × 85 g/cm³ = 18,609.05 grams = 18.60905 kg.
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Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
180 + 8x = 160 + 6x
Step 2: Solve for <em>x</em>
- Subtract 6x on both sides: 180 + 2x = 160
- Subtract 180 on both sides: 2x = -20
- Divide both sides by 2: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
180 + 8(-10) = 160 + 6(-10)
180 - 80 = 160 - 60
100 = 100
(Credit to guy/girl above) 63 miles 10 1/2 x 6 is 63.
So there are two ways.
First you could solve for y and plug it into the calculator. one equation for y1 and another for y2. Then go 2nd trace and press 5 and then press enter 3 times to find the intersection.
the second way is to solve by hand. I would suggest solve the first equation for y and plug the equation solved for y into the other equation. so y = -3x + 9 and 3x-5y=15. Then you could do 3x - 5(-3x+9) = 15. Finally solve for x and plug in x into both equations to see if you get the same y value.
The answer should be (10/3, -1)