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topjm [15]
3 years ago
10

The general manager of a

Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

18564

Step-by-step explanation:

In the problem Given, we just need to see t any 6, the order of selection does not matter, hence, this is a combination problem :

Using the combination relation :

nCr = 18C6

Recall ;

nCr = n! / (n-r)!r!

18C6 = 18! / (18-6)!6!

18C6 = 18! / 12!6! = (18*17*16*15*14*13) / (6*5*4*3*2*1)

18C6 = 13366080 / 6!

18C6 = 18564

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Katena32 [7]
The answer looks like it's A.
5 0
3 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0
2 years ago
The area of a rhombus is 90 square inches. If the longer diagonal measures 18 inches, what is the length of the shorter diagonal
lorasvet [3.4K]
10 Inches

A = p q / 2

p = diagonal 1
q = diagonal 2

2A / q = p

Solve for p
180/18 = 10
5 0
3 years ago
Someone help please this is for trigonometry
Softa [21]
Hi there!

Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.

Anyways,

tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75

cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78

For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...

angleC=180-(90+50)
angleC=180-140
angleC=40°
4 0
3 years ago
If a bicyclist travels 3 miles in 15 minutes, how far will he travel in 25 minutes maintaining a constant speed? (includes units
Irina-Kira [14]

<u>Answer:</u>

5 miles

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

15 × ? = 25

3 × ? = ?

15 × 1 and 2/3 = 25

3 × 1 and 2/3 = ?

3 × 1 and 2/3 = 5

Your welcome and Rate as Brainliest

3 0
3 years ago
Read 2 more answers
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