Step-by-step explanation:
since both cords are equal, so are arc length
4x + 18 = 7x - 51
3x - 21 = 0
x = 7
arc RS = 4(7) + 18
Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
EXPLANATION
If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

Replacing terms:

The approximate area is 37.7 in^2
9514 1404 393
Answer:
(b) (-5, 1)
(c) (5, -7)
(d) (9, -2)
Step-by-step explanation:
The coordinate differences between the given points are ...
(4, 2) -(0, -3) = (4, 5)
The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.
The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.
Two of the points could be ...
(4, 2) ± (5, -4) = (9, -2) or (-1, 6)
and the other two could be ...
(0, -3) ± (5, -4) = (5, -7) or (-5, 1)
Answer:
67 1/2
Step-by-step explanation:
67 5/10
67 1/2