Answer:
48 inches
Step-by-step explanation:
Put the value of the variable where the variable is in the expression and do the arithmetic.
P = 8s
P = 8(6 in)
P = 48 in
The perimeter of the octagon is 48 inches.
Answer: 15° and 70°
Step-by-step explanation:
The sum of angles of a triangle is 180.
One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;
180 - 95 = 85°
The ratio of the two sides is given to be 3 : 14
Calculating the angles of each ,the angle with the ratio 3 will be
3/17 x 85 = 15°
The angle with the ratio 14 will be
14/17 x 85 = 70°
Therefore : the measures of the two angles are : 15° and 70°
.21 is decimal form, 21/100 is the fraction in simplest form.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Height = 19 cm
Since the base area is 24π cm², we would determine its radius by applying the formula,
Area of circle = πr²
24π = πr²
r² = 24
r = √24
Therefore,
Volume of cylinder = π × (√24)² × 19 = 456π cm³
It is approximately
456 × 3.14 = 1431.8 cm³
