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:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
Answer:
1. 70 2. 85 3. 63 4. 20 5. They are vertical angles
Step-by-step explanation:
Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
Answer:
Option D.The ratio of the radius of a circle to its circumference
Step-by-step explanation:
<em>Verify each statement</em>
A) The ratio of the circumference of a circle to its diameter
The statement is True
Because

so

B) Approximated to be 3.14
The statement is True
Because 
C) Approximated to be 22/7
The statement is True
Because

D) The ratio of the radius of a circle to its circumference
The statement is not True
Because
