Answer:
25.9%
Step-by-step explanation:
Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem
Let us assume the dimension of the cylinder be
radius= 3in
height= 5 in
The expression for the total surface area of a cylinder is
T. S. A. =2πrh+2πr^2
Let us plug in the values to to find TSA
T. S. A. =2×3.14×3×5+2×3.14×3^2
Solving we get
T. S. A. =94.26+56.556
T. S. A. =150.816 in^2
Now let us find the error
we know that error % is calculated as
%error= [actual value-expected value/expected value]×100
%error= [190 -150.816/150.816]×100
%error= [39.184/150.816]×100
%error= 0.259×100
%error= 25.9%
Answer:
two angles that are on the same side of the transversal and on the interior of (between) the two lines.
Step-by-step explanation:
Answer:
see the explanation
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant called the common difference
we have

Let

------>
------>
------>
------>
so
the common difference between consecutive terms is equal to 5
we can rewrite the formula as
-----> given formula
For n > 1
where
an is the term that you want to find (position n)
a(n-1) is the known term position (n-1)
Find a_8
For n=8


I need to know a_7
or
we know that
The general formula for arithmetic sequence is equal to
where
an is the term that you want to find (position n)
a_1 is the first term
d is the common difference
n is the number of terms
we have


substitute
so
For n=8
let's convert the mixed fractions to improper fractions firstly.
![\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%208%2B1%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B25%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

The general vertex form equation of the parabola is

The Axis of Symmetry is given by
x=h
For the given equation the Equation of the Axis of symmetry for the parabola y=1/2(x-3)^2+5 as x=3.