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padilas [110]
3 years ago
13

A 10 2/3 inch long pipe is cut into 8 equal length pieces, how long is each piece​

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

\frac{4}{3} inches

Step-by-step explanation:

The total length of pipe is  10  2/3rd inches

It is cut into 8 equal pieces

We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:

a\frac{b}{c}=\frac{(a*c)+b}{c}

So,

10\frac{2}{3}=\frac{32}{3}

Each piece length is:

\frac{\frac{32}{3}}{8}\\=\frac{32}{3}*\frac{1}{8}\\=\frac{32}{24}\\=\frac{4}{3}

So, each piece is \frac{4}{3} inches

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The ratio of time student spends on their art project to time the student spends on their science project is 3 to 4 the total am
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3 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

#SPJ9

7 0
1 year ago
Can someone please help me
Travka [436]
22. -6
-14+8=-6

23. -8
-3+-5=-8

24. 4
17-13=4

i’m not 100% sure on these but i’m pretty sure i’m right, hope this helps !

ps. report bs answers to prevent loss of points
4 0
3 years ago
Can 5, 2, 4 be the measures of the sides of a triangle?
Karolina [17]

Answer: Yes

<u>Step-by-step explanation:</u>

In order to form a triangle, the sum of two sides must be GREATER than the third side.

a + b > c    &      a + c > b      &     b + c > a

5 + 2 > 4    &      5 + 4 > 2     &     4 + 2 > 6

    True                  True                   True

The sides 5, 2, 4 satisfy the rules for forming a triangle.

5 0
3 years ago
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