What is the next number in the sequence below. 216, 72, 24,

HELp meh with this question it very hard

Dovator [93]

Answer:

AB = 7 cm

Step-by-step explanation:

Use the law of cosines to find the side AB:

$AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =$
$\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}$

Use the Heron's area formula next:

$A = \sqrt{s(s - a)(s-b)(s-c)}$ , where s- semi perimeter

s = 1/2[x + x + 3 + $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ )
s - a = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x - 6) = 1/2 ( $\sqrt{x^2+3x+9 }$ - 3)
s - b = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x) = 1/2 ( $\sqrt{x^2+3x+9}$ + 3)
s - c = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2 $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 - $\sqrt{x^2+3x+9}$ )

Now

(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

Next

A² = 3/16(x² + 3x)(x² + 3x)
300 = 3/16(x² + 3x)²
1600 = (x² + 3x)²
x² + 3x = 40

Substitute this into the first equation:

$AB = \sqrt{40 + 9} = 7 cm$

4 0

3 years ago

In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70

Mars2501 [29]

Answer:

Minus 9.09090909% decrease

3 0

2 years ago

What is the simplified form of x plus 4 over x squared minus 3x minus 10 ⋅ x minus 3 over x squared plus x minus 12?

masya89 [10]

Answer:

Step-by-step explanation:

x

5

+

x

4

−

12

x

3

+

7

x

2

+

4

x

−

48

x

2

(

x

+

4

)

(

x

−

3

)

8 0

3 years ago

Solve for x 1 − 6x ≤ − 17 please help i am crying rn

irina [24]

Answer:

$x \geqslant 3$

Step-by-step explanation:

subtract 1 from both sides

-6x<-17-1

simplify

-6x<-18

divide by 6 on both sides

x>3

4 0

3 years ago

A Best Eastern Motel is a regional motel chain. Its rooms rent for $90 per night, on average. The variable cost is $40 a room pe

Vlad1618 [11]

Answer: break even point (y) = 24000

Step-by-step explanation:

This is quite simple to solve,

We will take a step by step calculation.

let us begin;

Given that the Room rent per night is = $90

Also the variable cost per night = $40

Total fixed cost = $1200,000

Now we are asked to solve for the Break even point;

Remember that at break even point, the Revenue = cost

Say the required revenue from renting y rooms R = $90y

The cost of renting y rooms = C = $ (40y + 1200,000)

therefore from this we have the Break even point as

$90y = $ (40y + 1200,000)

where y = 24000

cheers i hope this helps!!!!!!

4 0

3 years ago

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