Answer:
As*Nc/Ns
Step-by-step explanation:
The square has Ns discrete points. The points are quite large and are close around each other
As = Area of square
Nc = number of points inside square
Ns = total number of points inside square
Ac = area of circle
Such that
Nc/Ns = Ac/As
We cross multiply
AcNs = NcAs
Dividing through by Ns will give:
Ac = NcAs/Na
Which Is also
= As *Nc/Na
I also added an attachment to help you!
Answer:
$10,234.31
Step-by-step explanation:
A suitable financial calculator or spreadsheet can evaluate the future value function for you. It will tell you that $10,234.31 must be deposited today to have $13,000 in three years, when interest is 8% compounded monthly.
__
You are solving for P:
13000 = P(1 +0.08/12)^(12×3)
P = 13000/(1 +0.08/12)^36 ≈ 10,234.31
Volume is length*width*height
V = LWH
Height = H
Width = H-2
Length = H+5
V = H(H-2)(H+5) = 30
H(H2+3H-10)=30
H3+3H2-10H = 30
H3+3H2-10H-30 = 0
Per the rational roots theorem the roots of the
polynomial will be within the factors of the
constant , -30, divided by the coefficient of
the highest term, 1 from H3
The real roots must be within the factors of -30/1
or the factors of -30
Factors of -30 are ± {1, 2, 3, 5, 6, 10, 15, 30}
We will use synthetic division to determine the roots.
I first tried 1, -1, 2, -2, 3, and determined that -3 is
a root of the polynomial H3+3H2-10H-30.
This means that (H+3) is a factor ... Note that if
H=-3 then H+3 = 0
The synthetic division looks like this:
-3 | 1 3 -10 -30 the root and the coefficients
| -3 0 30
---------------------------
1 0 -10 0
Since the last sum is 0, there is no remainder.
That means that H=-3 is a root of the polynomial.
The other terms from right to left become the
constant and coefficients of the new polynomial
in ascending order ... LEFT to RIGHT
H3+3H2-10H-30 = (H+3)(H2+0H-10)
(H+3)(H2-10) = 0
Since H=-3 will not work for positive height we
need to look at:
H2-10 = 0
H2 = 10
H = ±√10
Again, discarding the negative
Height = √10 inches
Width = H-2 = -2 + √10 inches
Length = H+5 = 5 + √10 inches
Using the interactive protractor, the measure of the angle JHG is 115°
<h3>How to determine the measure of the angle?</h3>
The image that completes the question is added as an attachment.
The question requests that we determine the measure of JHG using a protractor.
To do this, we set one end of the protractor at 0°.
Then, we take the measurement of the other end
Using the interactive protractor, the other end stops at 115°
Hence, the measure of the angle JHG is 115°
Read more about angles at:
brainly.com/question/24839702
#SPJ1
Answer:
The electric bill of the Leonin family was of $ 877,626.
Step-by-step explanation:
Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:
9.7514 x 90 = X
877.626 = X
Thus, the electric bill of the Leonin family was of $ 877.626.