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Anna71 [15]
3 years ago
10

Find the lengths of the missing side . Simplify all radicals !!! help mee!!!!!!

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

e = 13\sqrt{2}

f = 13\sqrt{2}

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

sin(\theta) = \frac{opp}{hyp}

sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}

hyp = 26

opp = e = ?

Plug in the values into the formula

\frac{\sqrt{2}}{2} = \frac{e}{26}

Multiply both sides by 26

\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26

\frac{\sqrt{2}}{2}*26 = e

\frac{\sqrt{2}}{1}*13 = e

13\sqrt{2} = e

e = 13\sqrt{2}

Since side e is of the same length with side f, therefore, the length of side f = 13\sqrt{2}

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Answer:

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Step-by-step explanation:

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3 years ago
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You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return
attashe74 [19]
<h2>Time required to complete the round​ trip T=\frac{420}{x}+\frac{420}{(x-15)} where x is average velocity on the outgoing​ trip.</h2>

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

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We have total time T = t₁ + t₂

That is

                     T=\frac{420}{x}+\frac{420}{(x-15)}

Time required to complete the round​ trip T=\frac{420}{x}+\frac{420}{(x-15)} where x is average velocity on the outgoing​ trip.

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3 years ago
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Aleksandr [31]
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photoshop1234 [79]
It will be enought explaination:

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K H D U D C M.
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