The area of the figure created by Verona is 96.56 cm²
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Area</h3>
Area is the amount of space occupied by a two dimensional object.
The area of the circle = (1/4) * π * 4² = 12.56 cm²
The area of the square = 8 cm * 8 cm = 64 cm²
Area of the triangle = (1/2) * 8 cm * (17 - 8 - 4) = 20 cm²
Area of the figure created by Verona = 12.56 + 64 + 20 = 96.56 cm²
The area of the figure created by Verona is 96.56 cm²
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Answer:
c. -oo < x < -1
Step-by-step explanation:
according to the graph the function possitive
=> y > 0 , and x < -1
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
Answer:
After 5 hours, the amount of bacteria increased: 7800-6000=1800
After 1 hours, the amount of bacteria increased: 1800/5=360
After 18 hours, the amount of bacteria increased: 360*18 = 6480
=> Total amount of bacteria after 13 hours: 6000+6480 =12480
Assume that each material in each category has an equal chance of being selected.
Categories:
(a) Type of wood used to make the cabinet: birch, maple, cherry.
Each type of wood has a probability of 1/3 to be selected.
(b) Type of finish: transparent, semi-transparent.
Each type of finish has a probability of 1/2 to be selected.
(c) Knob: bronze, steel, wood.
Each material has 1/3 probability to be selected.
Each event (selecting material for the cabinet, for the finish, and for the knob) is an independent event.
Therefore
Probablity(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cheryy wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6