Step-by-step explanation:
- First write the given equation
- Now take all polynomials to left side.
Answer:
8 gallons
Step-by-step explanation:
Each rectangular face of the monument has an area of ...
A = bh = (9 ft)(39 ft) = 351 ft^2
The triangular face on top of that rectangle has an area of ...
A = (1/2)bh = (1/2)(9 ft)(10 ft) = 45 ft^2
So, one side of the monument has an area of ...
one side = (351 ft^2) +(45 ft^2) = 396 ft^2
The total area of all four identical sides is ...
surface area = (4)(396 ft^2) = 1584 ft^2
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Each gallon covers 199 ft^2, to the number gallons required is ...
(1584 ft^2)/(199 ft^2/gal) ≈ 7.96 gal
Since only whole gallons can be purchased, 8 gallons of paint must be bought.
Answer:
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Step-by-step explanation:
Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
Answer:
odds and probably are the same. If there is 0.25 chance that means there is basically a 25% chance the event will happen or 1/4 chance.
Step-by-step explanation:
