Answer:
∠F=78.58484226°
Step-by-step explanation:
a²=b²+c² - 2bc cosA
DE²=EF²+DF² - 2(EF)(DF)cos∠F
18²=16²+12²-2(16)(12)cos∠F
324=256+144-384cos∠F
324-400=-384cos∠F
76=384cos∠F
0.197916=cos∠F
∠F=cos⁻¹(0.197916)
∠F=78.58484226°
Answer:
Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse
Step-by-step explanation:
Sue's kayaking path is the hypotenuse of a right triangle.
so we use a squared + b squared = c squared
10.5^2+3.2^2=c^2
110.25+10.24=c^2
120.49=c^2
10.9768=c
and then because it said to round to the nearest tenth that would be 11.0 miles.
She's going at an average speed of 3.3 mph
that means it takes her about .3 hours to do 1 mile
so it would take her 3.3 hours to go 11 miles
marty is going at an average speed of 7 mph
so she takes 0.14 hours to go 1 mile
0.14 x 25 = 2.5
Answer:
1.1587855e+30
Step-by-step explanation:
Answer:
46 mph and 61 mph
Step-by-step explanation:
Distance=speed*time
Let speed of one bus be x and another x+15
After 3 hours
First bus would have traveled 3x while second bus 3(x+15)=3x+45
Total distance= 3x+3x+45=6x+45
6x+45=321
6x=321-45=276
x=276/6=46 mph
x+15=46+15=61 mph
An hour has 60 minutes.
-> 5/6 of 60 minutes
5/6*60
=50
So, 50 minutes
-> 1/2 of 60 minutes
1/2*60
=30
So, 30 minutes
-> 2/3 of 60 minutes
2/3*60
=40
So, 40 minutes.
Hope this helps. If you have any questions, please put them in the comments below.
