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Mazyrski [523]
4 years ago
13

15.

Mathematics
1 answer:
Mila [183]4 years ago
4 0
To tackle a similarity question, you would need to find a scale factor:
which is the multiplier to shrink or grow a measurement proportionately.

Therefore, to find the grow factor;

It’s AB/AE = 5/3

So our scale factor is 5/3

To find BC or AD, we need to grow the EF measurement as it is the smaller measurement of the corresponding side. So:

EF x 5/3 = AD
2 x 5/3 = 3.33333333333
So 3.3333333 is AD or BC

So we now have to find the area of both rectangle.

Rectangle AEFG = 3 x 2 = 6
Rectangle ABCD = 5 x 3.3333 = 16.6666

Ratio of yellow to blue is
Ratio of smaller to larger which is:

6 to 16.666666

After that we need to simplify the ratio, afterwards, we will get:

9 to 25

Hence the answer is
9:25
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The tables show the number of chin-ups done by students in two different gym classes. 2nd Period 3 4 12 14 7 7 8 4 8 3 11 10 9 8
Mekhanik [1.2K]

Answer:

On average, students in the 4th period did more chin-ups than students in the 2nd period

Step-by-step explanation:

Given the table values as

2nd Period     3  4 12 14 7  7  8  4  8  3  11  10  9   8 10 4  8 7  13 9

4th Period      10 3 14 14 16 15 7 12 7  10 12  8  10  9 6  11  9 1   2 5

Find the average chin-ups done by students in the gym classes

For 2nd Period gym class, the average will be;

=sum of chin-ups ÷ number of students

=sum of chin-ups in 2nd period gym class=

=3 + 4 +12+ 14+ 7 + 7 + 8+  4 + 8 + 3+  11+  10+  9 +  8 +10+ 4+  8+ 7 + 13+ 9\\\\=159

=number of students=20

Average=159÷20

=\frac{159}{20} =7.95\\\\\\=8

For 4th Period gym class

Sum of chin-ups=

=10+ 3+ 14+ 14 +16 +15+ 7 +12 +7+ 10+ 12 +8+ 10+ 9+ 6+ 11+ 9 +1 +2 +5\\\\\\=181

Number of students=20

Average number of chin-ups in the 4th period gym class

=\frac{181}{20} =9.05\\\\\\=9

Average number of chin-ups in 2nd Period Class = 8

Average number of chin-ups in 4th Period Class= 9

Conclusion; On average students in the 4th period gym class made more chin-ups (9) than those in 2nd period gym class (8).

3 0
4 years ago
Read 2 more answers
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5
satela [25.4K]

Answer:

The number he thought of was 13

Step-by-step explanation:

Revers the problem

3.5 * 3 = 10.5

10.5 - 4 = 6.5

6.5 * 2 = 13

7 0
3 years ago
HELP FAST The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of th
ollegr [7]

Answer

I attach the image of the circle in the picture below

Circumference larger circle = 62.831 in

Step-by-step explanation:

The perimeter of a circle is defined as

P = 2* pi* r

where

r corresponds to the radius of the circle.

In this case,

r = d/2 = 3 in

The perimeter of the smaller circle results

P1 = 2*(3.1416)*(3 in) = 18.8495 in

The circumference of the smaller circle is 30% of the circumference of the larger circle, so

P1 = 0.3* P2

P2 = 18.8495 in / 0.3 = 20\pi = 62.831 in

4 0
3 years ago
Round 24,299 to the nearest thousand
seraphim [82]

Answer:

Your anser is 24,000

Step-by-step explanation:

If the number is above 5 or is 5 then the number goes up but if the number is 4 and under the number stay's the same

3 0
4 years ago
Please help. Find the product or quotient in simplified form. Explain how to multiply and divide fractions.
miskamm [114]
<span>5 1/6 x 1/3
</span>first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18 
=> then divide them to get answer as mixed fraction ..
=> 1 13/18  ..

<span>3 1/2 / 1 1/3
</span>=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2 
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3 
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4 
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8 
=> answer as mixed fraction = 2 5/8 ...

Hope it helps !!!


7 0
3 years ago
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