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inysia [295]
2 years ago
9

Can 4 cm, 5 cm and 6 cm be the sides of a right triangle?Justify.

Mathematics
1 answer:
balu736 [363]2 years ago
7 0

Answer:

See explanation below

Step-by-step explanation:

Can 4 cm, 5 cm and 6 cm be the sides of a right triangle?Justify.

For the side of the triangle to be right angled, the sum of the longest side must be equal to the sum of the squareof the other two sides

Given the sides 4cm, 5cm and 6cm

Longest side = 6cm

Square of longest side =6² =36cm

Sum of the square of other two sides = 4²+5²

= 16+25

= 41

Since 36≠41, hence the sides does not form a right angle.

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Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r
alexira [117]

Answer: The probability is P = 0.056

Step-by-step explanation:

The invited ones are:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia

So we have a total of 10 persons.

The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

For the next slot we have 8 options (because Xeres already arrived, and Regina must arrive at last)

For the next slot we have 7 options.

for the next one we have 6 options, and so on.

So the combinations are:

C = 1*8*7*6*5*4*3*2*1*1 = 40320

Now, the total number of combinations is:

for the first slot we have 10 options, for the second we have 9 options and so on.

c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

7 0
3 years ago
I need help with this problem and if you can help me I would definitely appreciate it :)
Georgia [21]

Answer:

a. x=2, y=13

b. x=14, y=25

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Step-by-step explanation:

3 0
3 years ago
Approximate the change in the volume of a right circular cylinder of fixed radius requals21 cm when its height decreases from he
Tasya [4]
The volume of the cylinder is given by:
 V = pi * r ^ 2 * h
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 V1 = pi * ((21) ^ 2) * (12)
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 The change in volume is given by:
 V1-V2 = 16625.30832-16486.76409
 V1-V2 = 138.54423 cm ^ 3
 Answer:
 the change in the volume is:
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katrin [286]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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