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Gekata [30.6K]
4 years ago
5

A man flies a plane 180 miles. Because he is flying into a headwind the trip takes him 2 hours. On the way back the wind is blow

ing the same speed so the return trip takes 1 hour and 12 minutes. What is his speed in still air and how fast is the wind blowing?
Mathematics
1 answer:
ankoles [38]4 years ago
6 0

Answer:

120mph

30 mph wind

Step-by-step explanation:

the simple answer is d = rt

figure the two variables, then average the results to get the airplanes speed

the wind speed is the difference in time

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Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.
Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0
3 years ago
How do I solve for question number 8
Verizon [17]

Answer:

Step-by-step explanation:

Try drawing it out and, remember rectangle diagonals are equal in length, so do a bit of algebra and see how it goes.

If you still need help, feel free to ask me :)

Cate  

3 0
3 years ago
Given the piecewise Function shown below, select all the statements that are true.
Julli [10]
Evaluate them
A.
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A is wrong

B.f(2), x>1 so square it, f(5)=4
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C. f(1), x=1 so the result is 5, f(1)=5
C is correct

D. f(-2), x<1 so double it, f(-2)=-4
D is wrong



answers are B and C
4 0
3 years ago
The table shows the number of​ world-wide subscribers, in​ millions, each quarter from 2012 to 2017 for a company that provides
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Please find full question attached

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The answer to the question is C
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