The exterior angles = 180 - 157.5 = 22.5 degrees
the exterior angles of all polygons add up to 360 degrees
therefore the total number of sides n = 360 / 22.5 = 16
Answer:
Angle D is equal to 80.
Step-by-step explanation:
We know that the sides are congruent and that angle ACB is congruent to angle ECD by the vertical angles theorem.
Triangles' angles always add up to 180.
180 - 70 - 30 = 80
angle D is equal to 80.
Answer:
B
Step-by-step explanation:
Answer: The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
---------------------------------
People sharing muffins
= 12/8
<span> = </span><span>1 1/2 OR 1.5 muffins
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