3 years ago

Draw an exponential graph of y=a^x(a>0, a!=0)

Mathematics

1 answer:

alexdok [17]3 years ago

3 0

Draw the an exponent grap
Y=a x (a>0,a!=0

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The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *

denis-greek [22]

Answer:

$Area = 336\ m^2$

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

$P = 13x + 14x + 15x = 84$

$42x = 84$

$x = 2$

The length of each side is:

$13x = 26\ m$

$14x = 28\ m$

$15x = 30\ m$

Now, to find the area of the field, we can use the following formula:

$Area = \sqrt{p(p-a)(p-b)(p-c)}$

Where a, b and c are the sides and p is the semi perimeter:

$p = P/2 = 42\ m$

So we have that:

$Area = \sqrt{42(42-26)(42-28)(42-30)}$

$Area = 336\ m^2$

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Snezhnost [94]

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Let r vary directly with s and inversely with t. Which equation represents this equation? Assume that a is a constant.

andrew11 [14]

$\bf \qquad \qquad \textit{combined variation}
\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{\underline{r} varies directly with \underline{s} and inversely with \underline{t}}}{r=\cfrac{ks}{t}\qquad \textit{ and since a = k}\qquad r=\cfrac{as}{t}}$

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Step-by-step explanation:

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Step-by-step explanation:

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