Answer: each guest gets 4.19 cm²
Step-by-step explanation:
The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle
π is a constant whose value is 3.14
r represents the radius of the circle.
From the diagram,
r = 4cm
Therefore, area of the cake that he cut for himself is
120/360 × 3.14 × 4²
= 16.75 cm²
The total area of the cake is
3.14 × 4² = 50.24 cm²
Therefore, the rest of the cake is
50.24 - 16.75 = 33.49 cm²
The amount that each guest gets would be
33.49/8 = 4.19 cm²
Answer:
$10.23
Step-by-step explanation:
$2.19+$1.39+$3.69+$2.29=9.56
9.56 x 1.07=10.2292
You round to the nearest tenths place
$10.23
Answer:
A. 0.0625
B. 0.1089
C. 0.81
D. 0.0196
Step-by-step explanation:
The proportion of variance is shared by the two correlated variables is given as the r².
Therefore,
For A. r = 0.25
Proportion of variance is shared by the two correlated variables = 0.25²
= 0.0625
For B. r = 0.33
Proportion of variance is shared by the two correlated variables = 0.33²
= 0.1089
For C. r = 0.90
Proportion of variance is shared by the two correlated variables = 0.90²
= 0.81
For D. r = 0.14
Proportion of variance is shared by the two correlated variables = 0.14²
= 0.0196
Answer:
b
Step-by-step explanation:
Answer:
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