The distance to be covered in the race is 25 miles
average speed of the team is 30 km/h
30 km/m in miles/hour will be:
1 mile=0.621371 km
thus
30 km/h=(30×0.621371) miles/hour
=18.64113 miles/hour
time taken to complete 25 miles will be:
time=distance/speed
=25/18.64113
=1.3411 hours
Answer:
1. 24
2. 4
3. 22
4. 14
5. 15
6. 70
7. 0
8. 33
9. 19
Step-by-step explanation:
Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
The angle of the triangle would be 72
