Answer:
Distance = 70 + 55 = 125 kilometers
Time = 4 + 3 = 7 hours
Rate = Distance / Time
Rate = 125 / 7 = 17.8571428571 kilometers per hour
Step-by-step explanation:
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:
1. <span>Construct a circle with its center at point H.
2. </span><span>Construct horizontal line l and point H on line l
3. </span>Label
the point of intersection of the circle and line l to the left of point
H, point J, and label the point of intersection of the circle and line l
to the right of point H, point K.<span>
4. Construct
a circle with its center at point J and having radius HJ .
Construct a circle with its center at point K having radius HJ
5. </span><span>Label
the point of intersection of circles H and J that lies above line l,
point M, and the point of their intersection that lies below line l,
point N. Label the point of intersection of circles H and K that lies
above line l, point O, and the point of their intersection that lies
below line l, point P.
6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
Answer:
4. 17
5. 28
Step-by-step explanation:
4. This shape can be broken up into a square and two identical triangles.
The area of a square is A=S*S
The side length of the square is 3
So the area of the square is:
A = 3 * 3
A = 9
The area of the triangle is A=(1/2)B*H
The height is 4 and the base is 2
So the area of the triangle is:
A =(1/2) * 2 * 4
A= 4
To get the total area we add the values. Since there are two triangles, we will add the triangle area twice.
So the total area is
A = 9 + 4 + 4
A = 17
The area is 17.
5. We can split the shape into two triangles and calculate the area like that.
Remember the area of a rectangle is
A = L*W
Area of the first triangle is
A = 4 * 5
A = 20
The area of the second triangle is
A = 4 * 2
A = 8
So the total area is 28
I dont feel like doing the rest of the problems, but the process is similar.
Answer:
1) It is the trickiest door to open
Step-by-step explanation:
5.01 FLVS