Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
Answer:
y=4x-5
Step-by-step explanation:
The given sequence is neither arithmetic nor geometric.
Further explanation:
In order to check whether a sequence is geometric or arithmetic we have to find the common ratio and common difference respectively
Common difference is the deifference between cunsecutive terms of a sequence while common ratio is the ratio between two consecutive terms.
Common difference is denoted by d and common ratio is denoted by r
- If the common difference is same then the given sequence is an arithmetic sequence
- If the common ratio is same then the given sequence is a geometric sequence
Given
1, 3, 6, 10, 15
Common difference:
Here
As the common difference is not same, the given sequence is not an arithmetic sequence
Common Ratio:
As the common ratio is also not same the sequence is not a geometric sequence.
The given sequence is neither arithmetic nor geometric.
Keywords: Arithmetic sequence, Geometric Sequence
Learn more about sequences at:
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