Answer:
Step-by-step explanation:
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
ANSWER: The statistical procedure that should be performed is REGRESSION.
Step-by-step explanation: Regression is a statistical procedure that is used to estimate the relationship between an independent variable and a dependent variable using their mean values.
The independent variable in this case is the hours each student spend in studying, while the dependent variable is the students grade.
Since the researcher wants to determine if the hours a student spend in studying maths and science has any significant effect on their grades. The researcher should use regression, because it will show if the two variables are related and how it relates, by showing how far the points are from the trend lines of the graph.
Answer: The fraction would be 0.53.
Step-by-step explanation:
Since we have given that
where, A is the constant initial production rate
t is the time.
For 98 years, the production rate in motorcycles per year would be
For 13 years, the production rate in motorcycles per year would be
So, the fraction of their total production was built during the last 13 years would be
Hence, the fraction would be 0.53.
Answer:
Step-by-step explanation:
Let the base is x, then the legs are 2x each.
<u>The perimeter is:</u>
- x + 2x*2 = 50
- 5x = 50
- x = 10
The base is 10 cm and legs are 20 cm each.
