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3 years ago

The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

Answer:

Step-by-step explanation:

It is an equal lateral triangle, a right triangle has a side that is longer then the others

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

2 years ago

the equation 7x - 3y = 42 relates to x and y. find three pairs of points (x,y) that make the equation true.

Sloan [31]

If it doesn't matter whether the points are integers or not you can just pick a number for either y or x and solve for the other variable. For example, if you pick 3 to be your x, plug it in and then solve for y. Start out with: $7x-3y=42$ Plug in 3 for x: $7(3)-3y=42$ . Then, $21-3y=42$ . Subtract 21 from both sides and then divide by -3 on both sides. You end up with y=-7 so one of your points is (3, -7)

3 0

3 years ago

This is a simultaneous equation and I need help<br> 5x+3y=27<br> 2x+y=10

Serhud [2]

Answer:

(3, 4 )

Step-by-step explanation:

5x + 3y = 27 → (1)

2x + y = 10 ( subtract 2x from both sides )

y = 10 - 2x → (2)

substitute y = 10 - 2x into (1)

5x + 3(10 - 2x) = 27

5x + 30 - 6x = 27

- x + 30 = 27 ( subtract 30 from both sides )

- x = - 3 ( multiply both sides by - 1 )

x = 3

substitute x = 3 into (2)

y = 10 - 2(3) = 10 - 6 = 4

solution is (3, 4 )

4 0

1 year ago

Read 2 more answers

Bro<br> I’m lazy and I don’t wanna do it if someone can do it it would mean a lot

NARA [144]

Answer:

Option 2.

Step-by-step explanation:

X is a number greater than the equality. Therefore the arrow will go to the bigger side. It also is not equal to the equality hence the cirle is open.

3 0

3 years ago

Read 2 more answers

The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm. Which of the following gives the product of these dimensions rou

Alexxx [7]

Answer:

Step-by-step explanation:

the answer can't be A or C because we know that 8 3/4 rounds to 9

so we have to figure out if 12 11/16 is closer to 12 or 13

anything above 8/16 should round up; therefore, 11/16 should round the 12 to be 13

8 0

3 years ago