asinus

What is pi times 10 times 180/360 plus 10?

\(\pi\times10\times\frac{180}{360}+10 =5\pi+10 = {\color{blue}25.70796}\) !

3.6 times 1.1 over 1.2

\(3.6\times\frac{1.1}{1.2}\) = \(3\times1.1\)  = \({\color{blue}3.3}\)  !

How do you divide 399 divided by three?

\({\color{blue}\frac{399}{3}=133}\)  !

hi, so i'm trying to simplify this problem: x^2+5x+6 x x^2+11x +28 and I was hoping someone could give me a hand.

\({\color{red}x^2+5x+6x^2+11x+28}\)

= \(7x^2+16x+28\) = 0

   a            b           c

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(x = {-16 \pm \sqrt{256-4*7*28} \over 2*7}\)

\({\color{blue}x = \frac{-16\pm\sqrt {256-784}}{14}}\)

There is no real solution. 

From the top of a building "h₁" = 21m tall, the angle of elevation of the top of a taller building is β = 46°. The angle of depression of the base of the taller building is α = 39°. what is the height "h" of the taller building?

Between the viewer on the building at height "h₁" = 21m and the taller building are two imagined right triangles.

The ankathete "a" of the lower triangle (α = 39 °) is the distance "a" of the two buildings. The counter-cat "h₁" = 21m is the height of the observer.

Then:

\({\color{blue}a=\frac{h1}{tan\ \alpha} = \frac {21m}{tan \ 39°}}\)

\({\color{blue}a=25.933\ m}\)

The upper part of the taller building "h₂" is the counter-cathedral of the upper triangle. The distance "a" is the ankathete. β = 46 °.

Then:

\({\color{blue}h2=a\times tan\ \beta}\)

\({\color{blue}h2=25.933\ m\times tan\ 46°}\)

\({\color{blue}h2=26.854\ m}\)

\({\color{blue}h=h1+h2=21\ m+26.854\ m}\)

\({\color{blue}h=47.854\ m}\)

The height of the larger building is \({\color{blue}h=47.854\ m}\)

!

What is the difference between a subset of integers and a set of consecutive integers?

a subset of integers (exemple):

\({\color{blue}\{6;3;5;9;12\} \subset \mathbb{Z} \ (whole \ numbers)} \)

a set of consecutive integers (exemple):

\({\color{blue}\{8;9;10;11;12\} \subset\mathbb{N} \ (natural \ numbers)} \) !

Ergebnis von log Wurzel von 10 und dsgl.von 2

\({\color{blue}log \sqrt {10}= \frac{1}{2}\times log10= \frac{1}{2}\times 1=0,5} \)

\({\color{blue}log \sqrt {2}= \frac{1}{2}\times log2=0,150515}\)   !

Lieber Gast!

Was sind deine zwei Hobbys?

Gruß asinus :- )   !

Why does my answer appear twice? !

How many times longer is the baby alligator than the baby gecko?

The aligator is 3/4 foot the gecko is 2/15 foot.

If the babies have the same length ratio as the parents:

\({\color{blue}\frac{A}{G}=\frac{3}{4}:\frac{2}{15}=\frac{45}{8}=5\frac{5}{8} } \)

Then the alligator baby would be 5 5/8 times as big as that
Geckobaby
I do not dare!

asinus :- )   !