Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
Answer: B
Step-by-step explanation:
(-3, -1) and (4, 5) are the points given
Slope formula: 
Answer:
y = 17x-67
Step-by-step explanation:
The one point form of line also called slope point form is given by
where (x1, y1) is the point and m is slope
Given: (x1, y1) = (4,1) and m= 17
Substituting these values in above equation to find equation in point-slope form
(y-1)=17(x-4)
y-1 = 17x-68
y = 17x-67
the point -slope form of equation y = 17x-67
825 miles to drive 15 hours
<u> ∑ k = 1 88 2.5 ( 1.2 ) k</u><u> is this series written in </u><u>sigma notation. </u>
What is the series written in sigma notation?
- A series can be represented in a compact form, called summation or sigma notation.
- The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
- The expression is read as the sum of 4n as n goes from 1 to 6 .
Given:
2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87
If we look at the power it is always one less the term i.e., for first term the value of k=0.
So, the series in the form of summation can be written as
∑ k = 1 88 2.5 ( 1.2 ) k
Learn more about sigma notation
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