All Answers 358514 Answers

you convert them to common denominators:

8/40+5/40=13/40

15.6%  = .156

So

.156N = 13   divide both sides by .156

N = 13/ .156  = 83 1/3

400 = e^(3t)   take the ln of each side

ln 400  = ln e^(3t)    and we can write

ln 400 = (3t) ln e       and ln e = 1  so we can disregard this.....so we have

ln 400 = 3t      divide both sides by 3

ln 400 / 3  = t = about 1.997

Let x be each side of the fountain....so we have

L x W = 700

(x + 7)(x + 7)  = 700  simplify

x^2 + 14x + 49 = 700

x^2 + 14x - 651  = 0

Using the on-site solver, we have

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{14}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{651}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\mathtt{10}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{7}}}}{\mathtt{\,-\,}}{\mathtt{7}}\\
{\mathtt{x}} = {\mathtt{10}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{7}}}}{\mathtt{\,-\,}}{\mathtt{7}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{33.457\: \!513\: \!110\: \!645\: \!905\: \!9}}\\
{\mathtt{x}} = {\mathtt{19.457\: \!513\: \!110\: \!645\: \!905\: \!9}}\\
\end{array} \right\}$$

So...each side of the fountain is about 19.46 ft

And the area is (19.46)^2  = 378.7 sq ft

People who ask questions like this worry me a lot.

10^100

In other words......1 followed by 100 zeroes.....

N/6 + 8 - 3  = 7   simplify

N/6 + 5 = 7      subtract 5 from both sides

N/6  = 2           multiply both sides by 6

N = 12    .....and that's the number

The geometric mean of n values equals the nth root their product

So we have

²√[8 * 12 ]  =

²√[96 ]  = 

²√[16 * 6] = 

4√6 

it does equal 19 but what if you do 10-9=1

your answer is 19

We have an opposite side and an adjacent side......therefore......

tanθ  = (36 - 5.5) / 50   =  30.5 / 50

So, the angle is given by

tan^-1 (30.5 / 50 ) = θ = about 31.4°

$${\mathtt{\,-\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}} = {\mathtt{\,-\,}}{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{5}}$$ if you add 4x to each side to negate the -4x on each side you get 4 = -5 which is incorrect so the answer is undefined, to diplay this on a graph it would be a verticle line.

The exterior angles of any regular or non-concave sided shape is 360 degrees

so, $${\frac{{\mathtt{360}}}{{\mathtt{30}}}} = {\mathtt{12}}$$ which is the answer.

Here you go.....

THAT IS WHAT I GOT WHEN I DID IT BUT HOW DID YOU GET THAT

$${\mathtt{6}}{\mathtt{\,-\,}}{\mathtt{2.4}} = {\frac{{\mathtt{18}}}{{\mathtt{5}}}} = {\mathtt{3.6}}$$

We know an angle and an adjacent side, and we're trying toi find the hypotenuse (the ramp length)  ....the cosine seems the natural choice, here.....so we have

cos13° = 25/ h     rearrange

h = 25 / cos 13°  = about 25.7 ft

This system has no solution....if we subtracted the second equation from the first, we obtain

0 = 9

Since this is impossible.....no solution exists

really dumb