Answer:
Step-by-step explanation:
l^2=[(7-V2)/2]^2+(9-V2/2)^2=
49-7V2+2/4+81-9V2+2/4=
49+81+4/4-16V2=
131-16V2=108.4 ft
so l=V108.4≈10.4ft
Answer:
33.75.
Step-by-step explanation:
The mean = sum of the numbers / the number count
= (34 + 31 + 32 + 38) / 4
= 135 / 4
= 33.75.
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
Answer: RQ= 8.99 ( approx)
Step-by-step explanation:
Let MR= x
Since, In triangle, PRQ, tan 75°= 
⇒ RQ= 
Now, In triangle MRQ,
tan 60°= 
⇒ RQ= 
On equating both values of RQ,

⇒
⇒
⇒
⇒
⇒
≈15.60
Thus RQ=8.99999999999≈8.99
Answer:
Train A - 50 miles per hour
train B - 30 miles per hour
Step-by-step explanation:
Let x mph be the speed of the train B, then the speed of the train A is (x+20) mph.
In 3 hours,
- train A travels 3(x+20) miles
- train B travels 3x miles
In total, they covered the distance of 240 miles, so
![3(x+20)+3x=240\ \ \ \text{[Divide by 3]}\\ \\x+20+x=80\\ \\2x=80-20\\ \\2x=60\\ \\x=30\ mph\\ \\x+20=30+20=50\ mph](https://tex.z-dn.net/?f=3%28x%2B20%29%2B3x%3D240%5C%20%5C%20%5C%20%5Ctext%7B%5BDivide%20by%203%5D%7D%5C%5C%20%5C%5Cx%2B20%2Bx%3D80%5C%5C%20%5C%5C2x%3D80-20%5C%5C%20%5C%5C2x%3D60%5C%5C%20%5C%5Cx%3D30%5C%20mph%5C%5C%20%5C%5Cx%2B20%3D30%2B20%3D50%5C%20mph)