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unsure why use cos being sin of complement?
cos(x) = 0.839 so, x = acos(0.839) = 32.965327740597 ~ 32.97 degrees ?

GuestSep 18, 2013

ambiguous question
if you mean what is pi (to 50 digits)?
google-it ...
3.14159265358979323846264338327950288419716939937510
use an online calculator ...
http://www.miniwebtool.com/first-n-digits-of-pi/?number=50
calculate it using some formula from here
http://mathworld.wolfram.com/PiFormulas.html

GuestSep 18, 2013

sec(90-x) = 1/cos(90-x) = 1/sin(x) = 3
so 3*sin(x) = 1
so sin(x) = 1/3
so x = arcsin(1/3) = asin(1/3) = 19.471220634491 ~ 19.47 degrees

GuestSep 18, 2013

3x+2x+4x = (3x + 2x) + 4x = 5x + 4x = 9x

GuestSep 18, 2013

there are a countable infinity of fractions = 4
eg 4 = 4/1 = 8/2 = 16/4 = 32/8 = 36/9 and so on ...
similarly for any other integer, including
9 = 9/1 = 18/2 = 27/3 = 36/4 and so on

GuestSep 18, 2013

vague question?
do you mean (x-4)*x*(x+4) or (x-4)*(x+4)?
(x-4)*x*(x+4) = (x-4)*(x*(x+4)) = (x-4)*(x*x + x*4) = (x-4)*(x^2+4x) = (x*x^2+x*4x) - (4*x^2+4*4x) = x^3 +4x^2 -4x^2 - 16x = x^3 - 16x ?
(x-4)*(x+4) = x*(x+4) - 4*(x+4) = x*x +x*4 - 4*x - 4*4 = x^2 -16 ?

GuestSep 18, 2013

Yes, the square root of 576 is 24.

GuestSep 18, 2013

good question?
choice of value for 0^0 is set by convention
however, the convention for some may differ to the convention of others
some have 0^0 set by convention as = 1 others declare it an indefinite form
the argument likely still rages? i prefer the former "convention"
i'm uncertain of the "why" for math2.0cal's choice
perhaps browse ...
https://cs.uwaterloo.ca/~alopez-o/math-faq/mathtext/node14.html

GuestSep 18, 2013

initial = 429784
final = 426132
%change = final/initial * 100%
here there has been a 426132 reduction in the initial value of 429784
% change = %decrease = (426132 / 429784) * 100 % = 99.150270833721125 % ~ 99.15% reduction

GuestSep 18, 2013

choose some preferred measures,
say metric measures ...
length: centimetres (cm),
area: square centimetres (cm^2),
volume: cubic centimetres (cc),
weight: grams (gm),
value: dollars ($),
density (gm/cc)
-
look up the relevant conversion factors
1 ft = 1 foot = 30.48 centimeters
1 µm = 1 micro metre = 10-6 metres = (10^-6 x 10^2) cm = 10^-4 cm
1 mL = = 1 millilitre = 1 cc
-
given to your preferred measures, convert values ...
surface area:
1 ft^2 = (30.48^2) cm^2
statue surface area =
13.1 ft^2 =
(13.1*(30.48^2)) cm^2
-
gold thickness =
1.09 µm = 1.09 micrometres = (1.09*10^-6) metres = (1.09*10-6*10^2) cm = (1.09*10-4) cm
-
volume of gold needed =
statue surface area * desired gold thickness =
((13.1*(30.48^2)) * (1.09*10^-4)) cc
-
density of gold = 19.3 g/mL = 19.3 g/cc
-
weight of gold needed =
volume of gold * density of gold =
(((13.1*(30.48^2)) * (1.09*10^-4)) * 19.3) gm
-
price of gold = $625.10 per troy ounce
1 troy once = 31.1035 gm
so, 31.1035 gm gold costs $625.10
so 1 gm gold costs $(625.10/31.1035)
-
cost of gold for statue (in $'s) =
weight of gold (in grams) * price of gold (in $ per gram) =
(((((13.1*(30.48^2)) * (1.09*10^-4)) * 19.3))*(625.10/31.1035)) =
514.5472541778497210924815535229154275242336071503207034578102142847
$514.55 ?

GuestSep 18, 2013

29/6
plug it into math2.0calc and see!
= 4.8333333333333333

GuestSep 18, 2013

any three measures can make up some triangle?
read up on the "converse of the pythagorus theorem"
for a triangle with sides a, b, c where c is the longest side
if c^2 < (a^2 + b^2) then the triangle is "acute"
if c^2 = (a^2 + b^2) then the triangle is "right" angled
if c^2 > (a^2 + b^2) then the triangle is "obtuse"
test (c^2 - (a^2 + b^2)) in math2.0calc

GuestSep 18, 2013

11000(1+0.0575*(150/365)) is somewhat ambiguous
unless ... you are completely sure of web2.0calc precedence rules & defaults
plug it into web2.0calc as it stands, press enter and look at the algebraic formula top of screen
if the bracketing of terms within the displayed formula is as you want it then you're ok
if not then add the brackets as you want them and web2.0calc will give you what you want

GuestSep 18, 2013

p-14=-18
p-14+14=-18+14
p = -18+14
p=-4

GuestSep 18, 2013

12 day harvest needs 6 tractors
1 day harvest needs 6/12 tractors = 1/2 tractor ?
(better, 2 day harvest needs ((6/12)*2) = (12/12) = 1 tractor ?)
18 day harvest needs ((6/12)*18) = ((1/2)*18) = 9 tractors

GuestSep 18, 2013

+166

why is the calculator broken? Anyways, the answer to the subject question is either 2, 11, window, or windshield wipers.

gamrgrrl156Sep 18, 2013

ask a question
don't just make a statement
13<4x<47
13/4<x<47/4
3.25<x<11.75

GuestSep 18, 2013

question still somewhat vague?
however ...
in euclidean geometry
the sum of all angles within a triangle add to 180 degrees
if the triangle is a right angled triangle then one angle is 90 degrees
so the sum of the remaining two angles must add to 90 degrees (180-90=90)
if the triangle is a right angles isosceles triangle the the two remaining angles are equal and so each 45 degrees (90/2=45)
in non-euclidean geometry other sum of angles rules apply

GuestSep 18, 2013

Sep 17, 2013

I thought it would be (-infinite, 10) U (10, infinite)

GuestSep 17, 2013

+22

The link you posted isn't really working so I'm just going to assume that the function you're referring to is the standard formula for compounded interest, that is p(1+r)^x. In this case the principal amount is $1000 and x is 3. So it would look something like 1000(1+r)^3. Well in order to find the rate of annual interest if the balance after three years is B you simply have to set the formula equal to B and then isolate r.

1000(1+r)^3=B

First divide both sides by a 1000,

1000(1+r)^3=B (1+r)^3=B/1000

then cube root both sides,

(1+r)^3=B/1000 1+r=cuberoot(B)/cuberoot(1000) 1+r=cuberoot(B)/10

and then simply subtract 1 from both sides getting the final equation r=(cuberoot(B)/10) -1, which is the formula for finding the value of r given the value of B

CyphersumSep 17, 2013

+22

Well f(-1) is just the value of f(x) when x=-1, or the value of 4x²+5x+7 when x=-1 since f(x)=4x²+5x+7. So just substitute -1 for x in the quadratic and do the arithmetic.

4x²+5x+7 4(-1)²+5(-1)+7 4+-5+7=6

Therefore f(-1)=6. Hope that helps.

CyphersumSep 17, 2013

5 over 7 squared could be noted as 5/(7) ²
or as (5/7) ²

5/(7) ² is simply 5/49
(5/7) ² = (5 ²)/(7 ²) = 25/49

GuestSep 17, 2013

A 'mean' value is the average value of a set of numbers

A log is a function invented to solve for variable exponents (ie: a ^x=B)

GuestSep 17, 2013

LOG _a(B)=x ---> a ^x=B
just use that formula

GuestSep 17, 2013

thank u for reply .your answer is correct

GuestSep 17, 2013

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