Solve for m:
1/4 = m/24
1/4 = m/24 is equivalent to m/24 = 1/4:
m/24 = 1/4
Multiply both sides of m/24 = 1/4 by 24:
(24 m)/24 = 24/4
(24 m)/24 = 24/24×m = m:
m = 24/4
24/4 = (4×6)/4 = 6:
Answer: m = 6
Answer:
3.6miles
Step-by-step explanation:
Given:
distance of tent from the closest point on shore-line, d=3miles.
distance between shoreline point and coral reef, x=2miles
The shortest distance (say l) that the visitor runs towards the reef in order to swim a minimum distance which takes least time.

Now on reaching at the shore at this point the visitor will have to swim the least distance due east to reach coral reef.
One ton is 2000 lbs so it is 3 and a half
Answer:
The area of the sector is 3pi/2
Step-by-step explanation:
A sector is that part of a circle bounded by 2 radii and an arc
The circle has an area of 9 pi with a central angle of 60 degrees.
Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.
Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.
Thus, the area of the sector is one-sixth the area of the circle.
The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi
Answer:
m∠LTE = 110
Step-by-step explanation:
1. add up all of the arcs.
2x+3x+4x-8+x-12
2. all of the arcs equal 360
2x+3x+4x-8+x-12=360
3. Find x
10x-20=360, x=38
4. angle LTE is equal to half of the sum of the intercepted arcs.
0.5(arc LE +GF)
5. plug in LE +GF with x
.5(76+144)