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Pie
2 years ago
10

Compare the ratios 4:5 and 16:20.

Mathematics
1 answer:
Katarina [22]2 years ago
6 0

Answer:

They are equal

Step-by-step explanation:

When comparing ratios, we simply want to find out if the numbers are greater than, less than, or equal to each other. We have 4:5 and 16:20.

To find out the comparison;

Step 1: We find the LCM of the denominators ie 5 and 20, which is 20

Step 2: We divide the LCM by both sides, like this: 20÷5=4 and 20÷20=1.

Step 3: Now, multiply each ratio by the result of its individual denominator division ie

\frac{4 \times 4}{5 \times 4}  \: and \:  \frac{16 \times 1}{20 \times 1}  =  \frac{16}{20}  \: and \:  \frac{16}{20}

Step 4: Convert back to ratio form, we have: 16:20 and 16:20

From the above ratios, we have found out that 4:5 and 16:20 are equal when compared.

I hope this helps.

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Which polygon will tessellate the plane?
Sedaia [141]

Answer:

Equilateral triangles, squares and regular hexagons are the only regular polygons  that will tessellate. Therefore, there are only three regular tessellations.

Step-by-step explanation:

6 0
3 years ago
Between 20 and 28 students signed up for the chess club. The students could not be divided exactly into groups of 2,3,4 or 5. Ho
Artemon [7]
23

Those are not the answer: 
1) 20 - can be divided by 2
2) 21 - can be divided by 3
3) 22 - can be divided by 2
4) 24 - can be divided by 2 and 4.
5) 25 - can be divided by 5
6) 26 - can be divided by 2
7) 27 - can be divided by 3
8) 28 - can be divided by 2 and 4
8 0
3 years ago
Is 12.54 greater than 12.539?
Damm [24]

Answer:

yes

Step-by-step explanation:

12.54

>

12.53

reason why is because of the 4>5

8 0
3 years ago
Read 2 more answers
There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum
stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               Volume, V = a^{2}\frac{h}{3}.....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           = 10^{2}(\frac{13}{3}  )

                                           = (100)(4.333)

                                           = 433.33 cm^{3}

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            Volume of available aluminium > Volume of right square pyramid

                                               1000 cm^{3} > 433.33 cm^{3}

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

6 0
3 years ago
Read 2 more answers
The sum of four consecutive integers is 342. What is the third term in the sequence
Fofino [41]

Answer:

86

Step-by-step explanation:

let  four consecutive integers: n  , n+1  , n+2  , n+3

n  + n+1  + n+2 + n+3 = 342

4n + 6 = 342

4n + 6  - 6  = 342 - 6

4n = 336

divid by : 4

n = 84

but the third term is : n +2   so : 84+2 = 86

4 0
3 years ago
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