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4 years ago

Oliver traveled 124.25 miles in 3.5 at a constant speed. What is the constant of proportionality in miles per hour?

Mathematics

1 answer:

Darina [25.2K]4 years ago

5 0

Oliver traveled 124.25 miles in 3.5 hours at a constant speed

Rate = 124.25 / 3.5 = 35.5 miles per hour (MPH)

Answer:

The constant of proportionality is 35.5 miles per hour (MPH)

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Can anyone help me with this qeustion I need it for math today.

Umnica [9.8K]

Answer:

Therefore

m∠Y = 41.1°

Step-by-step explanation:

Given:

In Δ YSE ,

m∠S = 70°

YE = 10 = side opposite to ∠Y

SE = 7 = side opposite to ∠S

To Find:

m∠Y = ?

Solution:

In Δ ABC, Sine Rule says

$\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}$

So here In Δ YSE,

$\dfrac{YE}{\sin S}= \dfrac{SE}{\sin Y}= \dfrac{YS}{\sin E}$

substituting the given values we get

$\dfrac{10}{\sin 70}= \dfrac{7}{\sin Y}\\\\\sin Y=\dfrac{0.939\times 7}{10}=0.6577\\\\Y=\sin^{-1}0.6577=41.1\°$

Therefore

m∠Y = 41.1°

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4 years ago

Read 2 more answers

MATH 30 POINTS WILL GIVE BRAINLIEST<br><br> help please

natulia [17]

The fundamental behavior that's important here is that, as $t$ gets arbitrarily large, $a^t$ becomes smaller (decays) if $|a|$ and larger (grows) if $|a|>1$ .

$100\left(1-\dfrac12\right)^t=100\left(\dfrac12\right)^t\implies\dfrac12$

$0.1(1.25)^t\implies1.25>1\implies\text{growth}$

$426(0.98)^t\implies0.98$

$2050\left(\dfrac12\right)^t\implies\text{decay}$

$\left((1-0.03)^{1/2}\right)^{2t}=0.97^t\implies0.97$

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