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Andreyy89
2 years ago
13

Jaime had ten posters, but only five could fit on his closet door. how many

Mathematics
1 answer:
sukhopar [10]2 years ago
5 0

There are 30240 different ways can he arrange the five posters out of the ten on his closet door

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total, n = 10
  • Posters to arrange, r = 5

The number of ways is calculated as:

Ways =^nP_r

This gives

Ways =^{10}P_5

Apply the permutation formula

Ways = 30240

Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door

Read more about permutation at:

brainly.com/question/11732255

#SPJ1

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Nady [450]

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4a + 3b - 2a - 6b<br> .. help lol
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2a-3b

Step-by-step explanation:

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Help! Thanks!!!!!!!!!
san4es73 [151]

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


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3 years ago
Please help and explain if so thank you
myrzilka [38]

Answer:

<em>y = 6</em>

Step-by-step explanation:

Slope-intercept form:

y = mx + b

m = slope; b = y-intercept

A line with slope 0 is a horizontal line. Since one point on the line has y-coordinate 6, then all points on the line have y-coordinate 6. The y-intercept is 6.

m = 0; b = 6

y = mx + b

y = 0x + 6

y = 6

4 0
3 years ago
How many sides does the polygon have?<br> 8<br> 10<br> 12<br> 15
Lynna [10]

Answer:

B

Step-by-step explanation:

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