Answer:
ef + eg
Step-by-step explanation:
Distributive Property: a(b +c) = (a*b) + (a*c)
e(f +g) = e*f + e*g
= ef + eg
The volume of the sphere is 900 cm³
Step-by-step explanation:
- Step 1: Given the diameter of the ball = 12 cm. Find radius.
Radius = diameter/2 = 12/2 = 6cm
- Use the formula for volume of a sphere to find the volume.
Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
Answer:
144,148,152
Step-by-step explanation:
Here we will have, 4x + 4(x+1) + 4(x+2) = 444
=> x + (x+1) + (x+2) = 111 (dividing both sides by 4)
=>x + x+1 + x+2 =111
=> 3x + 3 = 111
=> 3x = 108
=> x = 36.
So, the three desired numbers 4x, 4(x+1) and 4(x+2) are,
4*36, 4*(36+1) and 4*(36+2)
That means the numbers are, 144, 148 and 152.
Answer:
b
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides
60x + 30 = 25x + 275 ( subtract 25x from both sides )
35x + 30 = 275 ( subtract 30 from both sides )
35x = 245 ( divide both sides by 35 )
x = 7
Then
KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b
