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3 years ago

14

If the rat moves through the maze randomly, out of 100 attempts, how many times would you expect Romeo to end up in room A? How

many times would you expect him to end up in room B? Explain.

1 answer:

yuradex [85]3 years ago

3 0

50 and 50 because half of 100 is 50 and 50

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How you know when you need to add parenthesis in an expression

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Answer:

rjeov oke eieie

Step-by-step explanation:

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3 years ago

13. Solve 32x+3 = 243 for x.

Alika [10]

The Answer should be 7.5
If you would like me to elaborate, let me know

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3 years ago

Read 2 more answers

Evaluate the expression below if<br> a = 8 and b=-5<br> I a l - I b I

Grace [21]

The answer should be 3 since its the absolute value and thats just how far a number is from 0 so it would be 8-5=3

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2 years ago

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

18. A glasscutter needs to cut rectangular pieces of

ololo11 [35]

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

All four interior angles = 90° each.
Opposite sides are parallel and equal to each other.
Diagonals should be of the same length and should bisect each other.

<h3>Properties of a Rectangle</h3>

All four angles of a rectangle are 90° each.
There are two pairs of parallel sides that are equal in length.
The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

Make the four interior angles 90° each.
The opposite sides should be parallel and equal to each other.
The diagonals should be of the same length and should bisect each other.

Learn more about properties of rectangle on:

brainly.com/question/2835318

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3 years ago