Answer:
All real number except at x=0
Step-by-step explanation:
Answer:
137
Step-by-step explanation:
The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360
now we know <ABC = 118 and
the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105
we are asked to find the m<ABD
118 + 105 + <ABD = 360 add like terms
223 + <ABD = 360 subtract 223 from both sides
m<ABD = 137
The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3
Answer: See explanation
Step-by-step explanation:
A. Since each ornament requires 0.5 yards of velvet and Joseph wants to make 45 ornaments, the number of yards of velvet she must be buy will be:
= 45 × 0.5
= 22.5 yards
Since 1 yard = 3 feet
22.5 yards = 22.5 × 3 = 67.5 feet
B. If the felt costs 10 cents ($0.10) per foot, what is the total cost of the velvet in dollars.
Total Cost = 67.5 × $0.10 = $6.75
C. A manufacture is making 1,000 times as many ornaments as Joseph to sell in stores nationwide. The amount of yards needed will be:
= 1000(45 × 0.5)
