Answer:
Step-by-step explanation:
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given
Radius = 5 centimeters
Height = 15 centimeters
Therefore,
Volume of cone = 1/3 × 3.14 × 5² × 15 = 392.5 cubic centimeters
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Answer:
403.33
Step-by-step explanation:
The price is in square yd not feet so change ft to yds
3 ft = 1 yd
12 ft = 12/3 = 4 yds
10 ft = 10/3 yds
A = l * w = 4 * 10/3 = 40/3 yd^2 = 13 1/3 yd ^2
Now multiply by the price per yd^2
13 1/3 yd^2 * 30.25 = 403.333333
Rounding to the nearest cent
403.33
Step-by-step explanation:
x = $5
y = $1
4x + 10y = $30
4(5) + 10(1) = 30
$20 + $10 = $30
5x + 5y = $30
5(5) + 5(1) = 30
$25 + $5 = $30
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)
