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Yanka [14]
3 years ago
9

Find the number of permutations of the first eight letters of the alphabet taking four letters at a time.

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0
The number of permutations of 8 different things taken 4 at a time is given by:
8C4=\frac{8!}{(8-4)!}=8\times7\times6\times5=1680
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Find the length of the diameter of circle 0
r-ruslan [8.4K]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

5 0
2 years ago
What’s the algebraic expression of ? Twice the sum of a number n and 2 ?
Mandarinka [93]

Answer:

A is the answer. 2(n+2)

5 0
3 years ago
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ivolga24 [154]

Answer:  Choice B) SAS

=======================================================

Explanation:

The sides that have the double tickmarks are the same length. This forms one "S" of "SAS".

The square angles are 90 degree angles, or right angles. They are congruent. This forms the "A" of "SAS".

The overlapping sides are the same length, which forms the second "S" of "SAS".

The angle is between the two sides allowing us to use SAS. The order is important.

5 0
3 years ago
James invests $5400 in two different accounts. The first account paid 14 %, the second account paid 6 % in interest. At the end
HACTEHA [7]

Given:

Total invested amount = $5400

Rate of interest for first account = 14%

Rate of interest for second account = 6%

Total interest after one year = $580

To find:

The amount invested in each account.

Solution:

Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).

Total interest = 14% of $x + 6% of $(5400-x).

580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)

Multiply both sides by 100.

58000=14x+6(5400-x)

58000=14x+32400-6x

58000-32400=8x

25600=8x

Divide both sides by 8.

\dfrac{25600}{8}=x

3200=x

Now,

5400-x=5400-3200

5400-x=2200

Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.

7 0
3 years ago
ILL MARK AS BRAINLESS PLS HELP
yanalaym [24]

Answer:

5765/574

Step-by-step explanation:

there u go lol

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3 years ago
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