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tresset_1 [31]
3 years ago
8

A jet plane traveling at a constant speed goes 1200 mi with the​ wind, then turns around and travels for 1000 mi against the win

d. If the speed of the wind is a constant 50​ mph, and the total flight took 4​ hours, find the speed of the plane. Round your answer to the nearest​ tenth, if necessary.
Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

Avg speed 550 miles per hour

Step-by-step explanation:

with the wind 1200 miles traveling

1200/(550+50) = 2 hours

Against the wind

1000/(550-50) = 2 hours

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If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?
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Answer:

sin(-\theta)=\frac{3}{4}

Step-by-step explanation:

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3 years ago
What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.
emmasim [6.3K]

Answer:

\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • geometry
  • PEMDAS
<h3>tips and formulas:</h3>
  • s =  \frac{\pi {r} \theta}{180}
<h3>given:</h3>
  • r=10
  • \theta = 60
<h3>let's solve:</h3>
  1. \sf sustitute \: the \: value s \: of \:  \theta \: and \: r :  \\  =\frac{\pi \times 10 \times 60}{180}
  2. \sf rediuce \: 60 :  \\  =\frac{\pi \times 10 \times  \cancel{60}  \: ^{1} }{ \cancel{180}  \:  \:^{3} }  \\  =\frac{\pi \times 10}{3}
  3. \sf use \: 3.14 \: for \: \pi :  \\ = \frac{3.14 \times 10}{3}
  4. \sf simplify \: multipication :  \\  =  \frac{31.4}{3}  \\  \approx \: 10.47
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2 years ago
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