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Juliette [100K]
3 years ago
13

at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same d

istance in 4 hours. what is the speed of the plane with no wind?
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
<span><span>Let x be the maximum speed of the plane and y be the speed of the wind

***Note: D = r*t or r = D/t***

x +y = 525mph |2100mi/4hr = 525mph

x -y = 350mph |2100mi/6hr = 350mph

2x = 875

x = 437.5mph, speed of plane. Wind speed is 87.5 </span><span>
</span></span>
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Does anyone know this
Tpy6a [65]

Answer: 40

Step-by-step explanation:

4 0
3 years ago
An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir
finlep [7]

Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

Perimeter=4\times side

40=4\times side

Dividing both sides by 4 we get:

10=side.

Side=10\ inches.

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = \frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.

Now, putting the formula to get the area of the circle:

Area=2\times \pi \times r

Area=2\times 3.14\times 5

Area=31.4\ inches.

Therefore, the area of the copper circle is 31.4 inches.

6 0
3 years ago
37 1/2% of _________ is 36, Please help show work I am really confused.
klio [65]

Before you start working on this problem, make sure you know
how to use a couple of the tools in your toolbox:

Tool #1:  37-1/2 percent means 0.375

Tool #2:  In math problems, "of" almost always means "times".

====================================

Your question says

                           "37-1/2 percent of blank is 36".

Translate it with your tools:

                                  0.375  times  blank  =  36 .

Divide each side by 0.375:              Blank = 36 / 0.375 .

Now grab your pencil or your calculator, and find the value of that
fraction (do the division).  Blank is equal to the value of the fraction.


To check your answer (find out whether it's correct):

Do exactly what the question says.

Multiply (0.375) times (your answer).  If you get 36,
then your answer is correct.  If not, it's not.


6 0
4 years ago
the probability of winning a game is 20%. if you play 20 times how many times should you expect to win
julia-pushkina [17]
The probability of winning a game out of 20 is 4 times. 
6 0
3 years ago
Read 2 more answers
F(x)=x^2+10x-12
weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = x^{2} +  10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ x^{2} + 10x -12 = 0    ⇒    x  = (-10 ± \sqrt{10^{2} +(48)} ) ÷ 2                                                          

                                          = (-10 ± 12.166)÷2        =   2.08, -11.08

Therefore the two values required are 2.08 and -11.08

3 0
4 years ago
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