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ValentinkaMS [17]
3 years ago
13

ABC is a triangle

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

Answer:

where is angle x located?

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For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
You and your friends decide to rent some studio time to make a CD. Big notes studio rinse for $100 plus $60 per hour. Great soun
Orlov [11]
About 3.8 hours, if asking for a whole number round to 4
8 0
3 years ago
(CO 4) In a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard
AveGali [126]

Answer:  

(22.12, 27.48)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 8 , which is a small sample (n<30), so we use t-test.

Critical values using t-distribution: t_{n-1,\alpha/2}=t_{7,0.025}=2.365

Sample mean : \overline{x}=24.8\text{ hours}

Standard deviation : \sigma=3.2\text{ hours}

The confidence interval for population means is given by :-

\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 24.8\pm(2.365)\dfrac{3.2}{\sqrt{8}}

24.8\pm2.67569206001\\\\\approx24.8\pm2.68\\\\=(24.8-2.68, 24.8+2.68)=(22.12, 27.48)

Hence, the 95% confidence interval, assuming the times are normally distributed.=  (22.12, 27.48)

6 0
3 years ago
Find the slope (-8,10) (8,15)
Novosadov [1.4K]
<h3>Question:</h3>

find the slope (-8,10) (8,15)

<h3>Answer:</h3>

m = \frac{5}{16}

<h3>Step-by-step explanation:</h3>

Use the slope formula \frac{y2-y1}{x2-x1}

(x2,y1) = (-8,10) , (x2,y2) = (8,15)

m = \frac{15-10}{8-(-8)}

m = \frac{5}{16}

Hope this helps :)

Please consider marking my answer brainlist!

7 0
3 years ago
Please help me ?! ❤️❤️
Zanzabum

Answer:

Hey there!

On the horizontal axis, the x-axis, find the point where it says 8.

Then move up to where the y-coordinate is 5.

That is the point (5, 8)

(This basically means- 8 units right and 5 units up)

Let me know if this helps :)

8 0
3 years ago
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