Urgent!!!

Mathematics

1 answer:

natita [175]1 year ago

3 0

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

$x = \sqrt{3^2 + 6^2}$

Evaluate the exponents

$x = \sqrt{9 + 36}$

Evaluate the sum

$x = \sqrt{45}$

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

$\tan(\theta) = \frac 36$

Evaluate the quotient

$\tan(\theta) = 0.5$

Take the arc tan of both sides

$\theta = \tan^{_1}(0.5)$

Evaluate

$\theta = 27$

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

brainly.com/question/4931057

#SPJ1

You might be interested in

How do I solve ln(x) + ln(5) = 2 ?

motikmotik

we'll use the same log cancellation rule, since this is pretty much the same thing as the other, just recall that ln = logₑ.

$\bf \textit{Logarithm Cancellation Rules}
\\\\
log_a a^x = x\qquad \qquad \stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{a^{log_a x}=x}
\\\\\\
\textit{logarithm of factors}
\\\\
log_a(xy)\implies log_a(x)+log_a(y)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
ln(x)+ln(5)=2\implies ln(x\cdot 5)=2\implies log_e(5x)=2
\\\\\\
e^{log_e(5x)}=e^2\implies 5x=e^2\implies x=\cfrac{e^2}{5}$

$\bf \\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
ln(x)-ln(5)=2\implies ln\left( \cfrac{x}{5} \right)=2\implies log_e\left( \cfrac{x}{5} \right)=2\implies e^{log_e\left( \frac{x}{5} \right)}=e^2
\\\\\\
\cfrac{x}{5}=e^2\implies x=5e^2$