Answer:
Volume of composit figure= 4834.14 cm^3
Step-by-step explanation:
here's your solution
=> Radius of hemisphere = 9 cm
==> volume of hemisphere = 2/3πr^3
==> volume of hemisphere = 2/3*22/7* 9^3
==> volume = 1526.04 cm^3
=> Radius of cylinder = 9 cm
=> Height of cylinder = 13 cm
==> volume of cylinder = πr^2h
==> volume of cylinder = 22/7*9^2*13
==> volume of cylinder = 3,308.1 cm^3
Volume of composit figure = 1526.04 + 3308.1
= 4834.14 cm^3
hope it helps
Answer:
-9/10
Step-by-step explanation:
- Find the LCM of 10 and 3: 30
- Alter the numerators to fit the denominators: 3 × 3 = 9, -1 × 10 = -10
- Re-write the fractions: 9/30 ÷ -10/30
- 9/30 ÷ -10/30 = 9/30 × -30/10
- 9/30 × -30/10 = -270/300
I hope this helps!
Answer:
$210
Step-by-step explanation:
We will model the food booth and game booth as linear functions
where
is the charge per day,
is the flat fee, and
is the number of days.
Food booth: 
Game booth: 
We solve for both equations, letting
:


We add the two values to obtain the total cost of $210.
Hello :
by moivre theorem :
[2(cos15*+isin15*)]^3 = 2^3(cos(3×45*)+isin(3×45*))
=8 (cos45*+isin45*)
= 8 ( √2/2 +i √2/2)
= 4√2 + 4√2 i ..... ( <span>in standard form a+bi)
</span>a = b = 4√2