All Answers

#1

0

Use a slash, this is how you set up a fraction (1/4) is a fraction

GuestOct 23, 2016

#1

0

Area =4 x Pi x r^2

450 =4 x Pi x r^2, solve for r

r=~5.98 cm

Volume=4/3 x Pi x r^3

V =4/3 x 3.141592 x 5.98^3

V=~895.76 cm^3

GuestOct 23, 2016

#3

+118742

0

Thanks Alan :)

MelodyOct 23, 2016

#1

+118742

0

Hi Majinza, welcome to the forum

27a^9 : 9a^4

Divide both sides by 9

3a^9 : a^4

now dividew both sides by a^4

3a^5 : 1

MelodyOct 23, 2016

#1

+6

0

8/10 -> 4/5

MajinzaHannahOct 23, 2016

#5

+118742

0

Thanks Max and guest :) Maybe there is some disagreement here?

So I will include my 2cents worth :)

--------------

12ab56 is a multiple of 36. Find the sum of all possible values of a+b.

I assume a and b are missing digits of the 6 digit number :/

1+2+5+6+a+b = 9k

14+a+b=9k

a+b=9k-14

0<= a+b <19

if k=2 then a+b=4

SO a+b must equal 4

AND the sum of all possible values of a+b must also be 4

MelodyOct 23, 2016

#2

+33669

+5

"If z is a complex number satisfying z+(1/z)=1 calculate z^10+ (1/ z^10)"

Here's one way of doing it:

AlanOct 23, 2016

#1

+118742

0

3(a+15) = 3*a + 3*15

= 3a + 45

MelodyOct 23, 2016

#2

+118742

+5

ctga-sin2a=ctga x cos2a prove dath :/

$cot(a)-sin(2a)=cot(a) \times cos(2a)\\ RHS=cot(a)-sin(2a)\\ RHS=cot(a)-2sin(a)cos(a)\\ RHS=cot(a)-\frac{2sin(a)cos(a)cot(a)}{cot(a)}\\ RHS=cot(a)\left(1-\frac{2sin(a)cos(a)}{cot(a)}\right)\\ RHS=cot(a)\left(1-\frac{2sin(a)cos(a)sin(a)}{cos(a)}\right)\\ RHS=cot(a)(1-2sin^2(a))\\ RHS=cot(a)(cos(2a))\\ RHS=LHS\\ $

Next time a please would be appreciated :/

MelodyOct 23, 2016

#2

+15140

0

If a = 1.03007614982 then 1 triangle. If a > h then ∞ $\color{blue}\times$ triangles.

asinusOct 23, 2016

#1

+15140

0

Find the number of distinct triangles with the measurements a=1 b=2 and A=31 degrees

$The \ height \ of \ a \ triangle \ ABC $

$ with \ a=1,\ b = 2 \ and\ \alpha = 31° is \ h = 1.03.$

$h=b\times\ sin31°=2\times sin31°=1.03008$

The side a must be ≥ h.

1 < 1.3008 There is no triangle with the given sizes.

If a = 1.0300714982 then 1 triangle. If a > h then ∞ $\color{blue}\times$ triangles. !

asinusOct 23, 2016

#1

+15140

0

3.25^3*3.14*4 and the ans /3

$3.25^{3}\times 3.14\times 4=431.16125$

$the \ ans/3$

$\frac{431.16125}{3}={\color{blue}143.7204166\overline{6}}$ !

asinusOct 23, 2016

#1

+15140

+5

duh! isn't it facing the key term of calculus

what is 10000000000000000* 110101010101010010

$ 10^{16}\times110101010101010010$

${\color{blue}=1.10101010101010010\times10^{33}}$ !

asinusOct 23, 2016

#1

0

in 9 hours drives 495 miles

in 1 hour drives 495/9 miles

in 7 hours drives (459/9) x 7 miles.

GuestOct 23, 2016

#4

+37206

0

Maybe, just.... stairs?

ElectricPavlovOct 23, 2016

#4

0

The actual sum of all possible combinations of the two numbers is:

5 x 4 = 20 and 6 x 13 =78

20 + 78 = 98

GuestOct 23, 2016

#1

+15140

0

(x^3)+2*x-1 i want its inverse

$x^{3}+2x-1=0$

${\color{Black}With \ Online-calculator:}$

$ The \ Equation \ has \ a \ real \ and \ two \ complex \ solutions.$

${\color{blue}x1=0.453397651516}$

${\color{blue}x2=-0.2266988+1.4677115 i}$

${\color{blue}x3=-0.2266988-1.4677115 i}$ !

asinusOct 23, 2016

#3

0

Do you mean amortization schedule? Certainly, especially if you use a spreadsheet like Excel. Keep in mind that the annuity earns interest @ 6%, while his annual payments increase by 3% per year. So that his payments would increase as $50,000, $51,500, $53,045, $54,636.35.....etc.

GuestOct 23, 2016

#2