Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue =
x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
Answer:
424 cm²
Step-by-step explanation:
The figure is composed of a square and a trapezium on top
A of square = 18² = 324 cm²
A of trapezium =
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 8, b₁ = 18 and b₂ = 7 , then
A = 0.5 × 8 × (18 + 7) = 4 × 25 = 100 cm²
Area of hexagonal park = 324 + 100 = 424 cm²
Answer:
y = 4x-7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
4x-y = 7
Subtract 4x from each side
-y = -4x+7
Multiply each side by -1
y = 4x-7
Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
Answer:
Step-by-step explanation: