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3 years ago

BRAINLIEST + POINTS

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

(x-2)^2 + (y-4)^2 = 5^2

Step-by-step explanation:

Hello!

The standard equation of a circle with center at (h,k) and radius r is:

(x+h)^2 + (y-k)^2 = r^2.

Filling in the known info (h=2, k=4, r =5), we get:

(x-2)^2 + (y-4)^2 = 5^2

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Triangle ABC has angle measures as shown.

sladkih [1.3K]

As with any triangle, the sum of angles is 180°.

(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4

(b)
Angle A = x -5 = 30 -5 = 25

Angle B = 3x +30 = 3*30 +30 = 120

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A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

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