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shtirl [24]
2 years ago
9

In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of

12 inches. Approximately how much space does each canister need filled with confetti?
A
452 in3

B
509 in3

C
905 in3

D
7,238 in3
Mathematics
1 answer:
professor190 [17]2 years ago
5 0

Answer:

C. 905 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

We know that the volume of a sphere is expresses as

V= 4/3πr³

Given that the diameter of the sphere is 12inches

Radius r= 12/2= 6 inches

Substituting our radius we can solve for the volume

V=4/3(3.142*6³)

V= (4*3.142*216)/3

V= 2714.68/3

V= 904.9in³

Approximately V= 905in³

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The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 <u>1,609 meter </u>    x   <u>      1 mile       </u>   =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x <u>  1,760 yards </u>   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

3 0
2 years ago
The number 8/7 = 1.14285714285714 ... obviously has no exact representation in any decimal floating point system (beta = 10) wit
arlik [135]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the first point:

Yes, the Finite Floating Point Structures are considered  Where \beta = 7

\to \frac{8}{7}= (1.1)_7

\bold{= 1 \times 7^0 + 1 \times 7^{-1}}\\\\

In the second point:

There is no device with a finite floating-point since the right side is  

This equality never happens, then, with the rational numbers (\alpha_i and \beta is rational).

5 0
2 years ago
Which city has a minmmum value that is lower arcadia or oakdale
spayn [35]
Oakdale is the answer I think
8 0
2 years ago
Which sentence best shows the significance of Rider giving Margie the stone?
Leto [7]

Answer:

(A)

Step-by-step explanation:

6 0
2 years ago
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas cost
DENIUS [597]

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

8 0
2 years ago
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