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Karo-lina-s [1.5K]
3 years ago
8

Pancho built a cabinet shaped like a rectangular prism. The length of the base is 6 inches, and the width is 70 inches. What is

the area of the base of the cabinet in square inches?
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

420in^2

Step-by-step explanation:

Given data

Length of base= 6 in

Widht of base= 70 in

We know that area= Length*Width

substitute

Area= 6*70

Area= 420 in^2

Hence the area of the base is 420in^2

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Prove that: (12^13–12^12+12^11)(11^9–11^8+11^7) is divisible by 3, 7, 19, and 37. The answer should be like: x^b*3*7*19*37. Also
n200080 [17]

Answer:

Step-by-step explanation:

Given (12^13–12^12+12^11)(11^9–11^8+11^7),

(12^13–12^12+12^11)(11^9–11^8+11^7) =

[(12^12)12 – 12^12 + 12^11][(11^8)11 – 11^8 + 11^7)

[(12^12)(12 – 1) + 12^11][(11^8)(11 – 1) + 11^7] =

(12^12(11) + 12^11)(11^8(10) + 11^7) =

(12^11(12x11) + 12^11)(11^7(11x10) + 11^7) =

[(12^11)(12x11 + 1)][(11^7)(11x10 + 1)] =

[(12^11)x(11^7)](12x11 + 1)(11x10 + 1) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](133 x 111) =

[(12^11)x(11^7)](14763) =

[(12^11)x(11^7)](3x7x19x37)

From here, it is clear that the given number is divisible by 3, 7, 19 and 37.

6 0
3 years ago
A circular rug has a radius of 4.5 feet.What is the circumstance of the rug ? use 3.14
devlian [24]

circumference =  2*pi * r

                         =2* 3.14 * 4.5

                         =3.14 * 9

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3 years ago
Each pack cost 3. he spent a total of 18 on gum. how many packs of gum did he buy.
TEA [102]

Answer:

So to figure that out you would take the money that he spend which was 18, each pack of gum cost 3, so to figure out the question you would simply divide 18 by 3 which would give you 6.

so how would you check that answer you could take 6 and multiple by the cost of each pack which would give you 18.

so answer is 6.

Step-by-step explanation:

18/3

=6

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3 years ago
Please hurry
tester [92]

Answer:

D

Step-by-step explanation:

divide 10 times starting with 100.

The answer is 25/256 or 0.09765625

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3 years ago
The following table shows the data collected from 2 random samples of 100 students from an after-school club regarding their fav
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