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taurus [48]
3 years ago
8

You fly in a helicopter for 20 minutes that goes at a speed of 240 kilometers per hour. How far did you go?

Mathematics
2 answers:
Nat2105 [25]3 years ago
4 0

keeping in mind that there are 60 minutes in 1 hour, thus 240 kilometers per hour is just 240 kilometers in 60 minutes.


\bf \begin{array}{ccll} minutes&km s\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 60&240\\ 20&x \end{array}\implies \cfrac{60}{20}=\cfrac{240}{x}\implies 3=\cfrac{240}{x} \\\\\\ x=\cfrac{240}{3}\implies x=80

wariber [46]3 years ago
3 0
You have traveled 80km
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tensa zangetsu [6.8K]

Answer:

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4 0
2 years ago
Find the real numbers x and y if -3+ix^2y and x^2+y+4i are conjugate of each other. Pls solve with the steps
Firdavs [7]
ANSWER
x = ±1 and y = -4.
Either x = +1 or x = -1 will work

EXPLANATION
If -3 + ix²y and x² + y + 4i are complex conjugates, then one of them can be written in the form a + bi and the other in the form a - bi. In other words, between conjugates, the imaginary parts are same in absolute value but different in sign (b and -b). The real parts are the same

For -3 + ix²y
⇒ real part: -3
⇒ imaginary part: x²y

For x² + y + 4i
⇒ real part: x² + y (since x, y are real numbers)
⇒ imaginary part: 4

Therefore, for the two expressions to be conjugates, we must satisfy the two conditions. 

Condition 1: Imaginary parts are same in absolute value but different in sign. We can set the imaginary part of -3 + ix²y to be the negative imaginary part of x² + y + 4i so that the 

   x²y = -4 ... (I)

Condition 2: Real parts are the same

   x² + y = -3 ... (II)

We have a system of equations since both conditions must be satisfied

   x²y = -4 ... (I)
   x² + y = -3 ... (II)

We can rearrange equation (II) so that we have

   y = -3 - x² ... (II)

Substituting into equation (I)

   x²y = -4 ... (I)
   x²(-3 - x²) = -4
   -3x² - x⁴ = -4
   x⁴ + 3x² - 4 = 0
   (x² + 4)(x² - 1) = 0
   (x² + 4)(x-1)(x+1) = 0

Therefore, x = ±1.
Leave alone (x² + 4) as it gives no real solutions.

Solve for y:

   y = -3 - x² ... (II)
   y = -3 - (±1)²
   y = -3 - 1
   y = -4

So x = ±1 and y = -4. We can confirm this results in conjugates by substituting into the expressions:

   -3 + ix²y 
   = -3 + i(±1)²(-4)
   = -3 - 4i

   x² + y + 4i
   = (±1)² - 4 + 4i
   = 1 - 4 + 4i
   = -3 + 4i

They result in conjugates
4 0
3 years ago
Read 2 more answers
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Makovka662 [10]
The answer is 26.19. It’s 100% right.
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2 years ago
Alex drove 135 miles in 3 hours at a constant speed
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3 years ago
There are 36 carpenters in a crew.
dolphi86 [110]

Answer:

<em>75%</em>

Step-by-step explanation:

27 ÷ 36 = 0.75

0.75 → 75%

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Hope this helped! :)

7 0
3 years ago
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