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A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism

NeTakaya

The correct question is
A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.

we know that
length=3 1/2 in--------> (3*2+1)/2=7/2 in
width= 5 in
height=1 1/2 in--------> (1*2+1)/2=3/2 in

[volume of the prism]=[length]*[width]*[height]
[volume of the prism]=[7/2]*[5]*[3/2]=105/4 in³-------> 26.25=26 1/4 in³

the answer is 26 1/4 in³

7 0

3 years ago

Rosita earns money by walking dogs after school and on weekends.She walks Madeline every other day,buddy every fourth day,and er

leonid [27]

On 12th day Rosita will walk all three dogs

Solution:

Given that Rosita earns money by walking dogs after school and on weekends

She walks Madeline every other day,buddy every fourth day,and ernie every third day

Today she walked all three dogs

To find: the day when she walked all three dogs

From given question,

Madeline is walked every other day means every two days: 2

Buddy is walked every fourth day: 4

Ernie is walked every third day: 3

To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3

L.C.M of 2, 4, 3:

List all prime factors for each number

Prime Factorization of 2 shows:

2 is prime => $2^1$

Prime Factorization of 3 shows:

3 is prime => $3^1$

Prime Factorization of 4 is:

$2 \times 2 = 2^2$

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 = 12

Thus on 12th day Rosita will walk all three dogs

4 0

4 years ago

A triangle has 2 angles that each measure 84°. What kind of triangle is it?

Gennadij [26K]

Answer:

The answer is acute triangle

7 0

3 years ago

Read 2 more answers

One of the legs of a right triangle measures 4 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If neces

Aleks04 [339]

Answer:

√308 or 17.5

Step-by-step explanation:

c^2=a^2+b^2

c^2-a^2=b^2

Substitute

18^2-4^2=b^2

324-16=b^2

b^2=308

b=√308 or b=17.5

7 0

3 years ago

A clock gains 4 minutes every hour. One day it is set to the correct time, 9:00 AM. What is the correct time when the clock show

Serhud [2]

First we have to figure out how many hours have passed. Since 1PM also means 1300 hours, we'll subtract 9 from 13. 13-9=4. therefore, 4 hours have passed. if it gains 4 minutes every hour, we'll multiply the amount of hours that have passed by the amount the clock gains every hour. 4x4=16. now we subtract 16 from 1300 because the clock is ahead of the real time, but remember and hour only has 60 minutes! 1300-16=1244. Therefore, the correct time is 12:44PM.

4 0

3 years ago