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LekaFEV [45]
3 years ago
9

A hemisphere of radius 4 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the cen

ter of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume.
Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

Answer:

Sawwekei

Step-by-step explanation:

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Brian deposited $4000 into an account with 5.4% interest, compounded monthly. Assuming that no withdrawals are made, how much wi
Yanka [14]
The future value of the amount deposited will be given by:
FV=p(1+r/100n)^nt

where:
FV=future value
p=principle
r=rate
n=terms
t=time
thus substituting our values in the formula we get:
FV=4000(1+5.4/1200)^(6×12)
FV=$5,526.57

Answer: $5,526.57
8 0
3 years ago
Let A = Aaron's age today and M = Maria's age today.
kondor19780726 [428]

Aaron is 4 years and Maria is 14 years old.

A = Aaron's age today

M = Maria's age today.

a. The equation based on the statement given will be:

M = A + 10

b. Maria's age based on the statement in 6 years will be:

= (A + 10) + 6

= A + 16

c. Based on the information above, the equation to solve their ages will be:

A + 16 = 2(A + 6)

A + 16 = 2A + 12

Collect like terms

2A - A = 16 - 12

A = 4

Therefore, Aaron is 4 and Maria is 14 years.

Read related link on:

brainly.com/question/22866879

3 0
3 years ago
Rena wrote all the integers from 1 to 12. <br><br> How many numbers did she write?
Aleksandr [31]

Answer:

15

integers from 1 to 9 have only one number each, so in total 9 numbers. integers from 10 to 12 have 2 numbers each, 3*2=6. 9+6=15

7 0
3 years ago
Read 2 more answers
Trig question easy answer for 15 points
sattari [20]

Answer:

x =  \boxed{10}

Step-by-step explanation:

\sin(60)  =  \frac{x}{12}  \\ x = 12 \sin(60)  \\ x = 12(0.8660254038) = 10.4

4 0
3 years ago
HELP PLZ ILL MAKE YOU BRAINLEIST
klemol [59]

Answer:

depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Step-by-step explanation:

7 0
3 years ago
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