Answer:
−
k
2
2
+
3
k
3
4
Step-by-step explanation:
Answer:
D: 14 = 0.89 x n; 15.7
Step-by-step explanation:
To get 89% of a number you have to multiply that number by 0.89
It would be 45 cups because each number is multiplied by 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
9 x 5 = 45
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;
![\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%20%5C%2C%20cm%7D%7B9%20%5C%2C%20cm%7D%20%3D%20%5Cdfrac%7Bx%7D%7B10%20%5C%2C%20cm%7D)
![x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B4%20%5C%2C%20cm%7D%7B9%20%5C%2C%20cm%7D%20%5Ctimes%2010%20%5C%2C%20cm%20%3D%204%5Cfrac%7B4%7D%7B9%7D%20%5C%2C%20cm)
![V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7Bh%7D%7B3%7D%20%5Ctimes%20%5Cleft%28B_1%20%2B%20B_2%20%2B%20%5Csqrt%7BB_1%20%5Ctimes%20B_2%7D%20%5Cright%29)
B₁ = 10², B₂ = ![\left(4\frac{4}{9} \right)^2](https://tex.z-dn.net/?f=%5Cleft%284%5Cfrac%7B4%7D%7B9%7D%20%5Cright%29%5E2)
Therefore;
![V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9} \right)^2 + \sqrt{10^2 \times \left(4\frac{4}{9} \right)^2} \right) \approx 218.93](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Ctimes%20%5Cleft%2810%5E2%20%2B%20%5Cleft%284%5Cfrac%7B4%7D%7B9%7D%20%20%5Cright%29%5E2%20%20%2B%20%5Csqrt%7B10%5E2%20%5Ctimes%20%20%5Cleft%284%5Cfrac%7B4%7D%7B9%7D%20%20%5Cright%29%5E2%7D%20%5Cright%29%20%5Capprox%20218.93)
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.
Learn more here:
brainly.com/question/24323975
Answer:What number must be multiplied by 3 to obtain 15? ... Example 11 A student solved the equation 5x - 3 = 4x + 2 and found an answer of x = 6. ... Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. ... + 3x = 7x + 2 - 4x can be changed to a simple equation x = 3, and the equation x = 3 is .
Step-by-step explanation: