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Jordan is cutting a 2 meter by 1 1/4 meter piece of rectangular paper into two pieces along its diagonal. what is the area of ea

MariettaO [177]

Each piece will have an area which is 1/2 of the area of the rectangle. The diagonal cuts the rectangle in half.

= 1/2 ( 2 * 1/1/4)

= 1 1/4 m^2

3 0

3 years ago

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A water tank is shaped like the cone shown here. How much water can the tank hold? Use 3.14 for . If water is drained from the

Anna35 [415]

Question:A water tank is shaped like the cone shown here. How much water can the tank hold? Use 3.14 for . If water is drained from the tank to fill smaller tanks that each hold 200 m³ of water, how many smaller tanks can it fill

Answer:

Amount of water = 871.87 in³

Number of tanks = 4 tanks

Step-by-step explanation:

Applying,

V = 1/3πr²h........... Equation 1.

Where V = volume of the tank, h = height, r = radius.

From the diagram attached,

Given: h = 17 m, r = 7 m.

Substitute these values into equation 1

V = 1/3(17)(7²)(3.14)

V = 871.87 m³.

Hence the amount of water the tank can hold is 871.87 m³

If the water is drained to a tank of 200 m³,

The number of tanks it can fill is = 871.87/200 = 4 tanks.

3 0

3 years ago

last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the

Aleonysh [2.5K]

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

3 0

3 years ago

-100,-200,0,-25,30 in order from least to greatest

Paraphin [41]

-200,-100,-25,0,30

Step-by-step explanation:

negatives will always be less than positives with negatives you put greatest to least and then 0 and then positives from least to greatest

5 0

4 years ago

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Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or

lana66690 [7]

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

= 259.2

Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

m bit (3, 0.94)

At p(m≤1) = B (1; 3, 0.94)

= 0.010

(b) Using your answer to part (a),

(1 – p) = 0.010

Error for 1 bit transmission error.

(c) How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

= B (2; 5, 0.94)

= 0.002

(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

= 25000 x 0.06

= 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

= 259.2

3 0

3 years ago