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fenix001 [56]
3 years ago
5

An airplane is flying at a constant speed of 500 mph at a bearing of 45° north of west. A 40 mph wind is blowing due south. What

are the plane's actual speed and direction? Draw a diagram and show your work to justify your answer. Round the speed to the nearest tenth and the direction to the nearest degree. (5 points)
Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Answer:I’m pretty sure I got this one right too

Step-by-step explanation:

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rosa made a Mosaic while using 42 black tiles 35 blue tiles and 23 red tiles write a percent to represent the number of red tile
Vlada [557]
23% because (42+35)+23=100. 42+35=77. 100-77=23.
4 0
3 years ago
Pls help i am not good with volume so i would appreciate some help
Maksim231197 [3]
The formula is:

Volume = Base area x height

We can plug in what you know, "h" represents height.
5/24 = 1/5 x h

Your goal is to isolate the variable, so divide each side by 1/5, which is the same as multiplying with 5.


5/1 x 5/24 = 5/1 x 1/5 x h

Simplify:
25/24 = 1 x h

1h is the same as h, so you've isolated the variable!

h = 25/24

25/24 is the same thing as 1 and 1/24



Thus, h = 1 and 1/24


Let me know if you need more help! :)
4 0
3 years ago
Sin(x) + sin(3x) = 4 sin(x) cos^2(x)<br> Prove the identity.
salantis [7]

\bf \textit{Sum to Product Identities} \\\\ sin(\alpha)+sin(\beta)=2sin\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right)\leftarrow \textit{we'll use this one} \\\\\\ sin(\alpha)-sin(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ \stackrel{\textit{symmetry identity}}{cos(-\theta )=cos(\theta )} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf sin(x)+sin(3x)=\underline{4sin(x)cos^2(x)} \\\\[-0.35em] ~\dotfill\\\\ sin(x)+sin(3x)\implies 2sin\left( \cfrac{x+3x}{2} \right)cos\left( \cfrac{x-3x}{2} \right) \\\\\\ 2sin\left( \cfrac{4x}{2} \right)cos\left( \cfrac{-2x}{2} \right)\implies 2sin(2x)cos(-x)\implies 2\boxed{sin(2x)} cos(x) \\\\\\ 2\boxed{2sin(x)cos(x)} cos(x)\implies \underline{4sin(x)cos^2(x)}

6 0
4 years ago
If y varies directly as x and z and y=4 when x=6 and z=1 find y when x=7 and z=4
yawa3891 [41]

<u>Answer-</u>

<em>The value of y is \dfrac{56}{3} when x=7 and z=4.</em>

<u>Solution-</u>

As given in the question, y is directly proportional to x, so

y\propto x   -----------------1

And also y is directly proportional to z, so

y\propto z   -----------------2

Combining equation 1 and 2,

\Rightarrow y\propto x.z

\Rightarrow y=k.x.z

Where,

k = proportionality constant

When x=6 and z=1, y=4. Putting theses values,

\Rightarrow 4=k\times 6\times 1

\Rightarrow 4=6k

\Rightarrow k=\dfrac{4}{6}

\Rightarrow k=\dfrac{2}{3}

Now, we have to find the value of y, when x=7 and z=4

\Rightarrow y=\dfrac{2}{3}\times 7\times 4

\Rightarrow y=\dfrac{56}{3}

Therefore, the value of y is \dfrac{56}{3} when x=7 and z=4.

6 0
3 years ago
Read 2 more answers
Find the midpoint of line AB.<br> A(-4,2) B(0,-4)
Blababa [14]
You could solve this mathematically but i mean you could use your eyes.... Its most likely C

;)
6 0
3 years ago
Read 2 more answers
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