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weeeeeb [17]
3 years ago
11

The measurement of an angle of a right triangle is 40° and the leg opposite to this angle is 5 cm long. what is the length, in c

m, of the other leg?

Mathematics
1 answer:
8090 [49]3 years ago
3 0
Sine 40 = 5 / hypotenuse
0.64279 = 5 / hypotenuse
hypotenuse = 5 / 0.64279
<span><span>hypotenuse = 7.7786
</span>tangent (50) = opp / adj
</span><span>tangent (50) = opposite / 5
1.1918 * 5 =  </span><span>opposite</span>
opposite side = 5.959
 








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Step-by-step explanation:

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PLZ HELP OR I FAIL MY TEST
Volgvan

Answer:

time upstream=24/8=3 hours

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Step-by-step explanation:

If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?

THE KEY WAS WHEN WE WERE TOLD THAT IT TAKES ONE HOUR LONGER TO GO UPSTREAM THAN DOWNSTREAM BECAUSE T=D/R AND WE ARE TOLD THAT:

D/R(Upstream) minus 1 equals D/R (DOWNSTREAM)



Let x=rate of current

distance(d)=rate(r) times time(t) or d=rt or t=d/r

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rate upstream=10-x

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time upstream=(distance upstream)/(rate upstream)=24/(10-x)

time downstream=(distance downstream)/(rate downstream)=24/(10+x)

Now, we are told that time upstream minus one hour equals time downstream. So our equation to solve is:

24/(10-x)-1=24/(10+x) Multiply both sides by (10-x)(10+x)

24(10+x)(10-x)/(10-x)-1(10-x)(10+x)=24(10-x)/(10+x)/(10+x) clear fractions


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240+24x-100-10x+10x+x^2=240-24x subtract 240 from and add 24x to both sides

240-240+24x+24x-100+x^2=240-240-24x+24x collect like terms

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This equation can be factored:

(x+50)(x-2)=0

x=-50 mph----------------discount the negative value for speed

and

x=2 mph----------------------speed of the current

CK

10-x=10-2= 8 mph -----------------------speed upstream

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time upstream=24/8=3 hours

time downstream=24/12=2 hours

so 3-2=1----takes 1 hour longer upstream

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