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jonny [76]
3 years ago
6

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approxima

te the volume of the mountain in
cubic kilometers.
Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

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Wilhelmina wrote a check for $72 to pay her monthly Internet bill, but when
lesantik [10]

Answer:

her bank statement will show that she has $144 less than her checkbook balance

Step-by-step explanation:

let the amount of money in the bank before writing the check be x

after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)

However, the bank correctly records the debit of the $72, resulting  a balance of: $(x-72)

Hence compared to her checkbook,  the bank records will show an amount difference of :

(x-72) - (x + 72)

= x - 72 -x -72

= -144

i.e her bank statement will show that she has $144 less than her checkbook balance

3 0
3 years ago
Read 2 more answers
Need help!! I can't figure this out
Sidana [21]

9514 1404 393

Answer:

  12. $1,035,057.23

  13. $988,881.23

  14. $7,762.93

  15. $8,686.16

  16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

  sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

  monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

__

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

  A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

__

13. The total of payments is ...

  $74×12×52 = $46,176

So, the interest earned is ...

  $1,035,057.23 -46,176 = $988,881.23

__

14. The amount available in perpetuity is the monthly interest on this account balance.

  $1,035,057.23 × .09/12 = $7,762.93

__

15. The monthly amount available for 25 years is found from the amortization formula:

  A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

__

16. The amortization formula is used for this, too.

  8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

  P = $8066/0.00833568 = $967,647.66

7 0
2 years ago
Help me?!?! Giving out brainliest
Oliga [24]
Your answer would be C

34x22=748

748h=1500
6 0
3 years ago
Read 2 more answers
If the perimeter of this triangle is to be no more than 77 feet, write an inequality and
Sergio039 [100]

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

6x+23\leq 77

6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

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3 years ago
I need Someone to help me with this problems equation and answer must be correct (100 Points)
soldier1979 [14.2K]

Answer:

1) 3x+18=45       x=9

2)8-5x=-7          x=3

3)3+2x=15         x=6

4) 12million - 2 million  = 10 million

Step-by-step explanation:

3 0
2 years ago
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