4 years ago

(4/5 -7/5) + 1/5= Please hurry

Mathematics

1 answer:

ladessa [460]4 years ago

3 0

it is = -0.4, negative zero point four

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In rhombus ABCD, AB = 13 and AC = 25. Find the area of the rhombus to the nearest tenth.

ra1l [238]

$the\ area\ of\ the\ rhombus=\\=half\ the\ product\ of\ the\ diagonals\ of\ a\ rhombus\\\\A= \frac{1}{2}\cdot |AB|\cdot |AC|=\frac{1}{2}\cdot 13\cdot 25= 162.5\ [u^2]$

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3 years ago

Find the EXACT solution to the exponential equation 500=20(1.5)^(4x)

tangare [24]

$500=20(1.5)^{4x}\implies \cfrac{500}{20}=1.5^{4x}\implies 25=1.5^{4x}
\\\\\\
\textit{now, we'll take a common log, any will do, we'll use ln()}
\\\\\\
ln(25)=ln\left(1.5^{4x} \right)\\\\
-----------------------------\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-----------------------------\\\\
thus\implies ln(25)=4xln(1.5)\implies \cfrac{ln(25)}{4ln(1.5)}=x$