Answer:
12 units
Step-by-step explanation:
The formula for the volume of a cone is given as:
πr²h/3
The volume = 100π cubic units
Diameter = 10 units.
Radius = Diameter/2
= 10 units/2 = 5 units
Hence:
Formula to find the height of a cone
h = 3V/πr²
We substitute
h = 3 × 100π/π × 5²
h = 300π/25π
h = 12 units
The height = 12 units
Answer:
(-3, -4).
Step-by-step explanation:
-4x + y = 8
x - 5y = 17 Multiply this by 4:
4x - 20y = 68 Add this to the first equation:
-19y = 76
y = 76/-19
y = -4.
Plug this into the second equation:
x - 5(-4) = 17
x = 17 - 20
x = -3.
CHECK this result in equation 1:
-4(-3) + -4 = 8
12 - 4 = 8
8 = 8 <------ OK.
<span>you can solve all quadratic equations using this method:
---
x^2 + 4x + 4 = 0
---
the above quadratic equation is in standard form, with a=1, b=4, and c=4
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 4
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
this quadratic has ONE real root (the x-intercept), which is:
x = -2
x = -2
---
---
---
---
x^2 + x = 0
---
the above quadratic equation is in standard form, with a=1, b=1, and c=0</span>
By the power rule,
(this seems to be the step you're not getting?)
The next step is to pull out a common factor of 
from the antiderivative:
so that the final result is
For compound interest, the formula is given below:
Amount = 
Here, P = 18,800
n = 2
r = 13/100
So, Amount = 
= 18,800 × 1.2769
= 24005.72
Compound Interest = Amount - Principal
Compound Interest = 24005.72 - 18800
= 5205.72
Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.
