Answer:
= 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
= 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:

V (volume) = ?
Solving:(<span>Cylinder volume)
</span>




<span>Note: Now, let's find the volume of a hemisphere.
</span>
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:

If: We know that the volume of a sphere is

, but we have a hemisphere, so the formula will be half the volume of the hemisphere

Formula: (<span>Volume of the hemisphere)
</span>

Solving:





<span>Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
</span>
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
W= width
l= length= 4w
Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w
LENGTH
l=4w
l=4(2)
l=8 yards
CHECK:
16= (8)(2)
16= 16
ANSWER: The length is 8 yards and the width is 2 yards.
Hope this helps! :)
Answer:
Refer to the picture above.