Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Timothy scored 83 out of 100.
His percentile rank in his class = 72
Clayton scored 85 out of 100.
His percentile rank in his class = 70.
Since Clayton's percentile rank is lower than Timothy's rank.
So, Timothy performed better with respect to the rest of the students in the class.
Hence, Timothy as his percentile score is higher.
Therefore, Fourth option is correct.
<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>
Step-by-step explanation:
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Pick one coordinate point on figure 1 (-4,5)
First rotate 90 degree clockwise rule (x,y) -->(y , -x)
So (-4,5) rotate 90 degree clockwise will become (5, 4)
Then reflection over x a-xis, rule (x,y) -->(x,-y)
So (5, 4) reflection over x a-xis will be (5, -4)
Answer: first option
90 clockwise rotation around the origin, then a reflection across x - axis.
Hope it helps
Answer:
72
Step-by-step explanation:
216/3=72 in each bus.
