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2 years ago

Please help me on both?!?

Mathematics

1 answer:

yarga [219]2 years ago

5 0

Answer:

just mutiply and then add all of it up

Step-by-step explanation:

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

Write 46 over 74 in simplest form

deff fn [24]

$\hbox{The GCF \rightarrow2}$

$\frac{46\div2}{74\div2} \\ \\ \bold {\boxed{{\pmb{ \frac{23}{37} }}}}$

3 0

2 years ago

Please Help! (Math)(tanβ)

sertanlavr [38]

Answer:

<u>Find the missing side first.</u>

x = $\sqrt{12^2 - 7^2} = \sqrt{144 - 49} = \sqrt{ 95}$

1) tangent = opposite leg / adjacent leg

tanβ = √95/7
Correct choice is B

2) sine = opposite leg / hypotenuse

sinβ = √95/12
Correct choice is D

7 0

2 years ago

Learning task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by sending a mess

Vlad [161]

Create random data for boys and girls ensuring that the data on each column in equal to 10 . Using that data you can answer the questions .

1. Type of favourite fruits
The rest you need the data for .

8 0

1 year ago

Can someone solve these equations with the work, and explain how to do them? I'm completely lost and it's due tomorrow, plus ano

trapecia [35]

Yea what's the equations??

4 0

2 years ago