Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
9514 1404 393
Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
Answer:
Formula for the volume of the cylinder is given by;
where r is the radius of the cylinder and h be the height of the cylinder.
As per the statement:
Volume of cylinder(V) = 364.5 cubic inches.
You will cut its bottom from a square of metal and form its curved side by bending a rectangular sheet of metal.
Diameter of a circle = 2r
Then, side of the square (s) = 2r
Area of a square = square inches.
Since, Volume of the cylinder(V) =
then;
Substitute the value of V then we have
To find the total amount of material required for the square and the rectangle in terms of r.
Curved surface area of cylinder =
Substitute the value of h we have;
Curved surface area of cylinder =
= square inches.
then;
= square inches
Therefore, the total amount of material required for the square and the rectangle in terms of r is, square inches
I think it’s $60.80
Lmk if it is right or not