Step-by-step explanation:
x² - 14x + 58
= (x - 7)² + 9.
Hence the vertex is (7, 9).
Answer:
255.7 cm²
Step-by-step explanation:
A = 10²(3.14) = 314
(293/360)(314) = 255.7 cm²
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Answer:
C
Step-by-step explanation: