Answer:
3053.5517 cm^3 ; 1/8
Step-by-step explanation:
Given the following :
Volume (V) of sphere = (4/3)πr^3 where r = radius
Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm
V = (4/3) × π × 9^3
V = 1.3333 × π × 729
V = 3053.5517 cm^3
When diameter(d) is reduced to half
d = d/2
Volume (V1) of sphere with diameter 'd' =
V1 = (4/3)π(d/2)^3
Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4
V2 = (4/3)π(d/4)^3
V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]
V1 / V2 = (d/2)^3 / (d/4)^3
V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]
V1 / V2 = 8 / 64
V1 / V2 = 1 / 8
Answer:
3
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(- 2, - 6) and (x₂, y₂ ) = D(4, - 3)
CD = 
= 
= 
=
=
= 3
← exact value
5s+s= -48
⇒ 6s = -48
⇒ s= -48/6
⇒ s= -8.
The final answer is s=-8~
Answer:
a. y = 2+4.3x when x = -6
substituting value of x, we get
<u>y=2+4.3*-6=2-25.8=23.8</u>
b. y = (x-3)² when x = 9
substituting value of x, we get
<u>y</u><u>=</u><u>(</u><u>9</u><u>-</u><u>3</u><u>)</u><u>²</u><u>=</u><u>6</u><u>²</u><u>=</u><u>3</u><u>6</u>
c. y=x-2 when x = 3.5
substituting value of x, we get
<u>y</u><u>=</u><u>3</u><u>.</u><u>5</u><u>-</u><u>2</u><u>=</u><u>1</u><u>.</u><u>2</u>
d. y=5x-4 when x = - 2
substituting value of x, we get
<u>y</u><u>=</u><u>5</u><u>*</u><u>-</u><u>2</u><u>-</u><u>4</u><u>=</u><u>-</u><u>1</u><u>0</u><u>-</u><u>4</u><u>=</u><u>-</u><u>1</u><u>4</u>
Answer:
The correct answer is A) -439
Step-by-step explanation: