C the third one
Step by step
Answer:
Step-by-step explanation:
The attached photo shows the diagram of quadrilateral QRST with more illustrations.
Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)
The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT
Using sine rule,
q/SinQ = t/SinT = r/SinR
24/sin98 = QT/sin50
QT = r = sin50 × 24.24 = 18.57
Also
24/sin98 = QR/sin32
QR = t = sin32 × 24.24 = 12.84
Let us find area of triangle QRT
Area of a triangle
= 1/2 abSinC = 1/2 rtSinQ
Area of triangle QRT
= 1/2 × 18.57 × 12.84Sin98
= 118.06
Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12
That's a copy of the figure from the other post; I didn't look at the answer.
We have Start(0,0)
![A(-16.55\cos 25, -16.55 \sin 25)](https://tex.z-dn.net/?f=A%28-16.55%5Ccos%2025%2C%20-16.55%20%5Csin%2025%29)
![B=A+(5 \cos 53, 5 \sin 53)](https://tex.z-dn.net/?f=B%3DA%2B%285%20%5Ccos%2053%2C%205%20%5Csin%2053%29)
![C=B+(20,0)](https://tex.z-dn.net/?f=C%3DB%2B%2820%2C0%29)
![C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)](https://tex.z-dn.net/?f=C%3D%28-16.55%5Ccos%2025%20%2B%205%20%5Ccos%2053%2B20%2C%20-16.55%20%5Csin25%20-%205%20%5Csin%2053%29)
Your team takes the direct path at a constant speed of 6 miles per hour.
<span>Our team.
![T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}](https://tex.z-dn.net/?f=T%3D%5Csqrt%7B8%5E2%2B11%5E2%7D%2F6%20%3D%202.27%20%5Ctextrm%7B%20hours%7D)
</span><span>
Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
Team Blue follows the riddle and travels at a constant speed of 10 mph.
</span>
![T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}](https://tex.z-dn.net/?f=T%3D%2816.55%20%2B%205%20%2B%2020%29%2F10%20%3D%204.155%20%5Ctextrm%7B%20hours%7D)
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.</span>
![T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}](https://tex.z-dn.net/?f=T%3D%2816.55%20%2B%205%20%2B%2020%29%2F11%20%2B%2030%2F60%20%2B%2030%2F60%3D4.78%20%5Ctextrm%7B%20hours%7D)
Winner: our team, then Blue, then Red, then Yellow
<span>
</span>
What is the mean, median, interquartile range, and standard deviation of 20, 20, 28, 28, 30, 30, 30, 36, 36, 40, 40
Kazeer [188]
Median is 30 range is 20 and that's all I'm gonna do sorry I have my own math hope I helped