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3 years ago

X+x+(x-45)+(x-45)+(x-45)=540 and they're all degrees

1 answer:

6 0

x + x + (x-45) + (x-45) + (x-45) = 540

x + x + x + x + x - 45 - 45 - 45 = 540

5x - 135 = 540

5x = 540 + 135

5x = 675

x = 675/5

x = 135

x = 135°

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Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona

lina2011 [118]

Answer:

$Tower 4 = 23.9cm$

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

$X + Z = 15.6$ ----- Equation 1

$X + Y = 18.3$ ----- Equation 2

$Z + Y = 13.9$ ----- Equation 3

Subtract equation 1 from 2

$(X + Y = 18.3) - (X + Z = 15.6)$

$X - X + Y - Z = 18.3 -15.6$

$Y - Z = 18.3 -15.6$

$Y - Z = 2.7$ ---- Equation 4

Add Equation 4 to Equation 3

$(Y - Z = 2.7) + (Z + Y = 13.9)$

$Y + Y - Z + Z = 2.7+ 13.9$

$2Y = 2.7+ 13.9$

$2Y = 16.6$

Divide both sides by 2

$\frac{2Y}{2} = \frac{16.6}{2}$

$Y = \frac{16.6}{2}$

$Y = 8.3cm$

Substitute $Y = 8.3cm$ in Equation 2 and 3

$X + Y = 18.3$ ----- Equation 2

$X + 8.3 = 18.3$

Subtract 8.3 from both sides

$X + 8.3 - 8.3 = 18.3 - 8.3$

$X = 18.3 - 8.3$

$X = 10cm$

$Z + Y = 13.9$ ----- Equation 3

$Z + 8.3 = 13.9$

Subtract 8.3 from both sides

$Z + 8.3 - 8.3 = 13.9 - 8.3$

$Z = 13.9 - 8.3$

$Z = 5.6cm$

So, we have that

$X = 10cm$

$Y = 8.3cm$

$Z = 5.6cm$

The question states that the 4th tower is made up of the three shapes;

This implies that;

$Tower 4 = X + Y + Z$

$Tower 4 = 10cm + 8.3cm + 5.6cm$

$Tower 4 = 23.9cm$

The height of the 4th tower is 23.9cm

8 0

3 years ago

Kiki works in a furniture store. Her base salary is $150 per day, plus an 8 percent commission on her sales. She sells several h

o-na [289]

Answer:

614

Step-by-step explanation:

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3 years ago

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4, 12, 20, .. Find the 46th term.

lutik1710 [3]

Answer:

46th term of the sequence is 364

Step-by-step explanation:

first term = 4

common difference = 12 - 4 = 8

46th term = first term+(46 - 1)×common difference

so,

46th term = 4 + ( 45 ) × 8
46th term = 4 + 360
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i hope it helped....

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Factor y 2 + 5y + 6. (y + 1)(y + 6) (y + 2)(y + 3) (y + 2)(y + 4)

serg [7]

y^2 + 5y + 6
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Answer:

Present Day:

Bob:Rob:Difference

3 : 4 : 1

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4 years ago:

Bob:Rob:Difference

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2 years ago