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arsen [322]
3 years ago
15

Show that 155 can be expressed as the sum of power of 2 and a cube number

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0
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Find the missing side of the triangle. Round your answer to the nearest tenth if
-Dominant- [34]

Answer:

10.9

Step-by-step explanation:

adding there squres you get 118.1 taking the squareroot of that you get 10.9

6 0
2 years ago
Skyscraper Windows
Musya8 [376]

Answer:

A.) $2,166

B.) $10,545

C.) (n/2)(3.5 + 0.5n) × 38

Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

2, (2 + 0.5), (2 + 2*0.5),..., (2 + (n - 1)*0.5)

first term 'a' = 2; common difference 'd' = 0.5

Sum of the first n terms of arithmetic sequence terms is:

S = (n/2)(2a + (n - 1)d) ; Where a = 2 and d = 0.5

S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

To wash all windows with n stories :

S × 38 windows

A.) To wash all windows : stories = 12

n = 12

(12/2)(3.5 + 0.5(12)) × 38

6(3.5 + 6) × 38 = $2,166

B.) if building is 30 stories tall:

n = 30

(30/2)(3.5 + 0.5(30)) × 38

15(3.5 + 15) × 38 = $10,545

C.) If building is n stories tall :

(n/2)(3.5 + 0.5n) × 38

4 0
3 years ago
Can 1 2/88 be simplified any lower?
pochemuha

Yes. It can be simplified into 1 1/44

6 0
3 years ago
Read 2 more answers
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo.
Akimi4 [234]
9 more keepers would need to be added i believe <span />
3 0
3 years ago
Read 2 more answers
The formula for density is d = m/v,
Mekhanik [1.2K]

Answer:

Kg per cm

or

Kilograms per cubic meter

Step-by-step explanation:

This formula can be represented as something similar to miles per hour (or kilometers per hour). Looking at the fraction will eventually give you the distance for every hour once it its fully simplified.

Use this problem as an example. d=4/2 where 4 means kilograms and 2 means cubic meters. Once fully simplified to 2/1 you can say there is 2 kilograms per cubic meter which is considered your volume.

4 0
3 years ago
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