Answer:
![\huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
![\huge 2\times \sqrt [3]3 = 2.88](https://tex.z-dn.net/?f=%5Chuge%202%5Ctimes%20%5Csqrt%20%5B3%5D3%20%3D%202.88)
Step-by-step explanation:
- For solid iron sphere:
- radius (r) = 2 cm (Given)
- Formula for
is given as:
- For cone:
- r : h = 3 : 4 (Given)
- Let r = 3x & h = 4x
- Formula for
is given as:
- It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
![\implies V_{cone} = V_{sphere}](https://tex.z-dn.net/?f=%5Cimplies%20V_%7Bcone%7D%20%3D%20V_%7Bsphere%7D)
![\implies \huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
- Assuming log on both sides, we find:
- Taking antilog on both sides, we find:
Answer:
A. v(t) = sin (2πft + π/2) = A cos (2πft)
Step-by-step explanation:
According to trigonometry friction, the following relationship are true;
Sin(A+B) = sinAcosB + cosAsinB
We will be using this relationship to check which option is true.
Wave equation is represented as shown;
y(t) = Asin(2πft±theta)
For positive displacement,
y(t) = Asin(2πft+theta)
If theta = π/2
y(t) = Asin(2πft+π/2)
y(t) = A[ sin 2πftcosπ/2 + cos2πft sin π/2]
Since sinπ/2 = 1 and cos (π/2) = 0
y(t) = A[ sin 2πft (0)+ cos2πft (1)]
y(t) = A[0+ cos2πft]
y(t) = Acos2πft
Hence the expression that is true is expressed as;
v(t) = Asin(2πft+π/2) = Acos2πft
Answer:
a) The rate of change is 3.5
b) The rate of change represents the price of a single cookie. $3.5
Step-by-step explanation:
a) To determine the rate of change along the graph, select a pair on the graph as;
(2,7) and (8,28)
Rate of change, m= change in y/change in x
m=28-7/8-2 = 21/6 =7/2 = 3.5
b)
The equation of the relationship can be written as;
y=3.5 x + 0 where y is the amount collected and x is the number of cookies sold.
The slope here represents the price per cookie in $, $3.5
Answer:
8.0, 16.0
Step-by-step explanation:
times the before number by itself