Answer:
1. 23/20 miles, 2. 7/20 miles
Step-by-step explanation:
1. Total distance = 3/4 + 2/5
= (3*5)/(4*5) + (2*4)/(5*4)
= 15/20 + 8/20
= 23/20
= 1 3/20 miles
2. Difference between walked miles and jogged miles = 3/4 - 2/5
= 15/20 - 8/20
= 7/20 miles
Answer:
404.5 dollars
Step-by-step explanation:
8x9+(0.875x380)=404.5
Answer:
The coordinates of the circumcenter of this triangle are (3,2)
Step-by-step explanation:
we know that
The circumcenter is the point where the perpendicular bisectors of a triangle intersect
we have the coordinates

step 1
Find the midpoint AB
The formula to calculate the midpoint between two points is equal to

substitute the values


step 2
Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)
Is a horizontal line (parallel to the x-axis)
-----> equation A
step 3
Find the midpoint BC
The formula to calculate the midpoint between two points is equal to

substitute the values


step 4
Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)
Is a vertical line (parallel to the y-axis)
-----> equation B
step 5
Find the circumcenter
The circumcenter is the intersection point between the equation A and equation B
-----> equation A
-----> equation B
The intersection point is (3,2)
therefore
The coordinates of the circumcenter of this triangle are (3,2)
Sin(x) = base / hypotenuse
sin(x) = 7/9
x = arcsin(7/9)
x = 51 degrees
Answer:
number 1 - 2 is bigger ----- Number 2 - 1 is bigger ------ Number three - 5 is bigger
Step-by-step explanation: