Answer:
- 0.83
- 0.9
- steeper than
- slower than
Step-by-step explanation:
Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.
Michael climbs 9 stairs in 10 seconds so his rate is ...
... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second
Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.
Ted climbs fewer stairs per second, so his rate is slower than Michael's.
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<em>Comment on the problem</em>
You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)
Answer:
4.75
Step-by-step explanation:
Answer: well, the answer can really be any two numbers, as long as y is one more than x. EXAMPLE: 16 = 15 + 1, 7 = 6 + 1, -54 = -55 + 1, etc
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:
V = Ab x h
In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:
V = 4² x 10 = 160 cm³.
More can be learned about the volume of a cuboid at brainly.com/question/22694657
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