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Define x :
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Let the width be x.
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Find Area of the walkway :
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Area = 30x + 30x + 20x + 20x + 4x²
Area = 100x + 4x²
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Find cost of the walkway in term of x:
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1m² = $10
100x + 4x² = 10(4x² + 100x)
(100x + 4x²)m = $(40x² + 1000x)
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Find Width of the walkway :
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The budget is $6000
40x² + 1000x = 6000
40x² + 1000x - 6000 = 0
x² + 25x -150 = 0 //Divide by 40 through
(x - 5)(x + 30) = 0 //Factorise
x = 5 or x = -30 (Rejected, width cannot be negative)
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Answer: The width can be 5m wide.
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9514 1404 393
Answer:
- ornament area = 379.8 cm²
- paint needed: 114 bottles
Step-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
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If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
Answer:
The values of x are
Step-by-step explanation:
we have
Solve for x
Adds 42 both sides
Divide by 6 both sides
simplify
square root both sides
therefore
The values of x are
Answer:
lines are perpendicular
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
Where c is the value of the x- coordinates the line passes through
x = - 1 ← is the equation of a vertical line
The equation of a horizontal line parallel to the x- axis is
y = c
Where c is the value of the y- coordinates the line passes through
y = - 1 ← is a horizontal line
Since lines are vertical and horizontal they are perpendicular to each other.
Answer:
2
Step-by-step explanation:
