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Elina [12.6K]
3 years ago
10

The diagonal of a square is 27 cm long. The diagonal of a smaller square is 12 cm long. What is the difference between the lengt

hs of these two diagonals?
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

length of big square

\sqrt{27}  = 5.2

length of small square

\sqrt{12 }  = 3.5

difference between length of two square

=5.2-3.5

=1.7

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Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F b
zubka84 [21]

Answer:

F = k\frac{m_1m_2}{r^2}

Step-by-step explanation:

Direct proportional:

Multiplication

Inverse proportional:

Division

The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses

This means that:

F = k\frac{m_1m_2}{}

Inversely proportional to the square of the distance r between the objects.

Denominator is r^2. Thus:

F = k\frac{m_1m_2}{r^2}

4 0
2 years ago
How many integers from 1 through 100,000 contain the digit 6 exactly once?
wariber [46]
Consider the set of all (not-all-zero) decimal strings of length 6. This is the set of strings


000001
000002
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099998
099999
100000

There are obviously 100,000 strings in this set, so we have a one-to-one correspondence to the integers between 1 and 100,000. Think of any string starting with 0s as the number with the leading 0s chopped off.

There are two choices for the first digit, either 0 or 1, but a number can only contain a 6 if the first digit is 0; otherwise, the number would exceed 100,000. For every digits place afterward, if a given digits place contains a 6, then the remaining four places have 9 possible choices each, choosing from 0-9 excluding 6. If we fix the 6 in, say, the second digits place, then the number of integers between 1 and 100,000 containing exactly one 6 is


1\cdot1\cdot9^4=6561


where the first 1 refers to the only choice of 0 in the first digits place, the second 1 refers to the unique 6 in the next place, and the remaining four places are filled with one of 9 possible choices.


Now, notice that we can permute the digits of such a number in 5 possible ways. That is, there are 5 choices for the placement of the 6 in the number, so we multiply this count by 5.

5(1\cdot1\cdot9^4)=32,805
4 0
3 years ago
Can anyone help! I have done 1 and 3 but I’m lost on the rest! Will give extra points!
MrRissso [65]

Answer:

i think thats good but for me umm so good hehe

4 0
2 years ago
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10 point to Help with this ?
DENIUS [597]

All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

<h3>What is congruence transformation?</h3>

A congruence transformation is defined as a movement of shape such that it can produce a shape that is congruent to the original.

There are three types of congruence transformation;

1. Translation

2. Reflection

3. Rotation

Given;

Shape B is made by applying a single transformation to shape A.

Hence, All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.

Learn more about transformations ;

brainly.com/question/11352944

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weqwewe [10]

Answer:

Step-by-step explanation:

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