The circumference of a circle can be calculated using the following equation;
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.
Answer:
yes
Step-by-step explanation:
reddit karma
Answer:
(3, 10)
Step-by-step explanation:
f(3) means substitute the value of x = 3 into f(x)
Therefore, when x = 3, y = 10
So the ordered pair is (3, 10)
Answer:
(x,y)--> (2,1), (4, -5), (7, -14), (9, -20), (11, -26)
Step-by-step explanation:
y = -3x + 7
substituting x-values in y= -3x + 7
x = 2
y= -3 × 2 + 7
= -6 + 7
= 1
x=4
y= -3 × 4 + 7
= -12 + 7
= -5
x=7
y= -3 × 7 + 7
= -21 + 7
= -14
x=9
y= -3 × 9 + 7
= -27 + 7
= -20
x=11
y= -3 × 11 + 7
= -33 + 7
= -26
Answer:
Step-by-step explanation:
Each signal unit cubes are 1 cm to each side
the dimensions of the large cube is 4 by 6 by 3 width height and depth
a) volume of the cube Vol = area of the base times height
area of the base = the width times the depth
Volume = Base Depth
= Width x Depth x Height
= 4 x 3 x 6
= 12 x 6
Vol = 72 cm ³
b ) the volume of the smaller cuboid has different dimensions
the smaller cube is 2 by 2 by 1 width height and depth
Volume = Base Depth
= Width x Depth x Heigh
= 2 x 2 x 1
Vol smaller cuboid = 4
How many smaller cubes can be made?
The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.
Number of cuboid = Volume of the cube / Volume of the cuboid
= 72 / 4
= 18
Check this answer by dividing the dimension of the cube by the cuboid
4 by 6 by 3
2 by 2 by 1
(4/2) by (6/2) by (3/1)
2 by 3 by 3 = 2 x 3 x 3 = 18
