Answer:
B
Step-by-step explanation:
First find the circumference of the circle with radius of 9 inches:
The full angle has 360°, so, to find the length of the arc DE, you can write:
which yields a proportion:
Answer:
AC = 52
Step-by-step explanation:
the diagonals of a square are congruent and bisect each other, hence
AC = BD
2(3x - 4) = 10x - 48
6x - 8 = 10x - 48 ( subtract 10x from both sides )
- 4x - 8 = - 48 ( add 8 to both sides )
- 4x = - 40 ( divide both sides by - 4 )
x = 10
⇒ AC = 2(3 × 10 - 4) = 2 × 26 = 52
Answer:
When we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Step-by-step explanation:
We know that 180 Degree Rotation.
We know that when we rotate a point, let say P(x, y), 180 degrees counterclockwise about the origin, the coordinates of point P(x, y) transformed to P'(-x, -y).
In other words, the sign of both x and y coordinates are reversed.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the point (1, 4)
P(x, y) → P'(-x, -y)
A(1, 4) → A'(-1, -4)
Thus, when we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Answer:
17.5, or 35/2
Step-by-step explanation:
First of all, the formula for volume is V=lwh. Replace V with 1050, w with 16m, and h with 3.75, since these values are already given.
The equation should look like this:
1050 = l*16*3.75
By solving for l, you'll get 17.5, or 35/2