Answer:
Step-by-step explanation:
Given
See attachment for cone
Required
The total surface area
This is calculated as:
From the attached cone:
-- radius
--- slant height
So, we have:
What is the estimate 20 9/11 divided by 6 19/20? A) 147 B) 120 C) 4 D) 3
1 answer:
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This question is about exponent function. All the function in this question is following a pattern of f(x)= a
In this function, a is the initial/starting quantity and b is the base of the exponent. The option in this problem is about growth/decay that was determined by the base of the exponent. So, to answer this question you just need to pay attention to the variable b
1. Answer: 4% grow
f(x)= a
f(x)= 46(1.04)²
Then the value of the variable would be:
a= 46
b=1.04
Since b is >1 then it is a growing function. The grow in percent would be: (1.04 * 100%) - 100%= 104%-100%=4%
2. Answer: 4% decay
f(x)= a
f(x)= 104(0.96)²
Then the value of the variable would be:
a= 104
b=0.96
Since b is <1 then the function would decay. The rate of change percent would be: (.96 * 100%) - 100%= 96%-100%= -4%. The function rate of change is 4% decay
3. Answer: 40% decay
f(x)= a
f(x)= 74(0.6)²
Then the value of the variable would be:
a= 74
b=0.60
Since b is <1 then the function would decay. The rate of change percent would be: (0.60 * 100%) - 100%= 60%-100%= -40%. The function rate of change is 40% decay
4. Answer: growth 40%
f(x)= a
f(x)= 44(1.4)²
Then the value of the variable would be:
a= 44
b=1.4
Since b is >1 then the function would grow. The rate of change percent would be: (1.40 * 100%) - 100%= 140%-100%= 40%. The function rate of change is 40% growth
5. Answer: 14% decay
f(x)= a
f(x)= 40(0.86)²
Then the value of the variable would be:
a= 40
b=0.86
Since b is <1 then the function would decay. The rate of change percent would be: (0.86 * 100%) - 100%= 86%-100%= -14%. The function rate of change is 14% decay
6. Answer: 14% growth
f(x)= a
f(x)= 8(1.14)²
Then the value of the variable would be:
a= 8
b=1.14
Since b is >1 then the function would grow. The rate of change percent would be: (1.14 * 100%) - 100%= 114%-100%= 14%. The function rate of change is 14% growth
1. Answer: 4% grow
f(x)= a
f(x)= 46(1.04)²
Then the value of the variable would be:
a= 46
b=1.04
Since b is >1 then it is a growing function. The grow in percent would be: (1.04 * 100%) - 100%= 104%-100%=4%
2. Answer: 4% decay
f(x)= a
f(x)= 104(0.96)²
Then the value of the variable would be:
a= 104
b=0.96
Since b is <1 then the function would decay. The rate of change percent would be: (.96 * 100%) - 100%= 96%-100%= -4%. The function rate of change is 4% decay
3. Answer: 40% decay
f(x)= a
f(x)= 74(0.6)²
Then the value of the variable would be:
a= 74
b=0.60
Since b is <1 then the function would decay. The rate of change percent would be: (0.60 * 100%) - 100%= 60%-100%= -40%. The function rate of change is 40% decay
4. Answer: growth 40%
f(x)= a
f(x)= 44(1.4)²
Then the value of the variable would be:
a= 44
b=1.4
Since b is >1 then the function would grow. The rate of change percent would be: (1.40 * 100%) - 100%= 140%-100%= 40%. The function rate of change is 40% growth
5. Answer: 14% decay
f(x)= a
f(x)= 40(0.86)²
Then the value of the variable would be:
a= 40
b=0.86
Since b is <1 then the function would decay. The rate of change percent would be: (0.86 * 100%) - 100%= 86%-100%= -14%. The function rate of change is 14% decay
6. Answer: 14% growth
f(x)= a
f(x)= 8(1.14)²
Then the value of the variable would be:
a= 8
b=1.14
Since b is >1 then the function would grow. The rate of change percent would be: (1.14 * 100%) - 100%= 114%-100%= 14%. The function rate of change is 14% growth
Answer:
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)
Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).
The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
