Answer:
126°
Step-by-step explanation:
180-54 = 126
Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by
where
b is the length side of the cube
we have
substitute
step 2
Divide the volume of the prism by the volume of one cube
9514 1404 393
Explanation:
Here's one way to go at it.
Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)
x = angle OAB = angle OBA
y = angle OAC = angle OCA
z = angle OBC = angle OCB
Consider the angles at each of the points A, B, C.
At A, we have ...
angle CAB = x + y
At B, we have ...
angle CBA = x + z
At C, we have ...
angle ACB = y + z
The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...
x + x + ∠AOB = (x+y) +(x+z) +(y+z)
∠AOB = 2(y+z) = 2∠ACB
This shows ∠AOB = 2×∠C, as required.
The circumference would be 18.85
Answer:
m<SYD = 106.02°. Reason: alternate exterior angles are equal.
Step-by-step explanation:
