Review the graph of g(x).
1 answer:
You might be interested in
Answer:
The correct option is;
Yes, his calculations are correct and the volumes for figures are equal
Step-by-step explanation:
The volume, V, of a square (of side s) pyramid of height h =
Where:
s = 9.7 inches
h = 9 inches
We have;
The volume, , of a cylinder of radius r = Base area × Height, h = (π×r²)×h
Where:
Base area = π×r²
r = Radius of the cylinder = 5.47 inches
h = Height of the cylinder = 3 inches
= π × 5.47² × 3 = π × 29.9209 × 3 = π × 89.7627 = 281.998 ≈ 282 m³
Therefore, Jude is correct.
The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Step-by-step explanation:
The given is,
A lighthouse is 150 feet tall.
Cast a shadow of 30 feet.
Kyle is 6 feet tall.
Step:1
Ref the attachment,
From triangle ABC,
tan ∅ = ......................(1)
Where, Opp = AB = 150 feet
Adj = BC = 30 feet
Equation (1) becomes,
tan ∅ =
= 5
∅ = 5
∅ = 78.69°
∅ is same for both ABC and PQR triangle.
From triangle PQR,
tan ∅ = ......................(1)
Where, Opp = PQ = 6 feet
Adj = QR = x
Equation (1) becomes,
tan 78.96° =
5 =
x = = 1.2
Shadow length of Kyle, x = 1.2 feet
Result:
The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
