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4 years ago

two sides of a triangle measures 25 cm + 35 CM which of the following would be the measure of the third side

1 answer:

5 0

Assuming those are the legs of the triangle and that you need to find the hypotenuse... I would use the formula: a^2+b^2=c^2
It doesn't matter what a and b are, just fill it in.
25^2+35^2=c^2
625+1225=c^2
1850=c^2
Take the square root of 1850, it isn't a perfect square so I got: 43.01.
If you want, just round it to 43, idc.
So, if I were to check my work, I would need to remember that the hypotenuse is the longest side.
Since 43 is the hypotenuse, it is the longest side.

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lapo4ka [179]

$cos(2x) = \frac{1}{\sqrt{2}}$
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3 years ago

Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c

aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is $\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}$ .

The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is $\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}$

In the other cases, Ayo wins £1.40, with $1 - \frac{18}{72} = \frac{54}{72}$ probability.

Hence, his expected profit for a single game is:

$E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583$

For 216 games, the expected value is:

$E = 216(0.2583) = 55.8$

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

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3 years ago

Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following: A. B

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Given

$\left[\begin{array}{ccc}-2&3\\2&4\\\end{array}\right]$ + $\left[\begin{array}{ccc}3&1\\-1&2\\\end{array}\right]$

Add corresponding elements to obtain the sum, that is

= $\left[\begin{array}{ccc}-2+3&3+1\\2-1&4+2\\\end{array}\right]$

= $\left[\begin{array}{ccc}1&4\\1&6\\\end{array}\right]$ → C

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4 years ago

CAN SOMEONE PLEASE HELP WITH MY MATH??? LOOK AT THE PHOTO PLEASEEE I NEED THIS ASAP

Ilia_Sergeevich [38]

The perimeter of the given rectangle will be ( 12x + 10 ).

<h3>What is the perimeter?</h3>

The perimeter is defined as the sum of all the sides of the given shape. For a triangle, the perimeter will be the sum of all the sides of the rectangle.

It is given that the two sides of the rectangle are (2x + 2) and (4x + 3). Then the perimeter of the rectangle will be calculated as below:-

Perimeter = Sum of all the sides of the rectangle

Perimeter = 2 ( 2x + 2 + 4x + 3 )

Perimeter = 4x + 4 + 8x + 6

Perimeter = 12x + 10

Therefore, the perimeter of the given rectangle will be ( 12x + 10 ).

To know more about the perimeter follow

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1 year ago

Type the correct answer in the box.

statuscvo [17]

Step-by-step explanation:

V should be written as (1/3) pi r^2 h

V = (1/3) pi r^2 h multiply by 3

3V = pi r^2 h Divide by pi

3V/ pi = r^2 h Divide by r^2

3V / (pi *r^2 ) = h

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3 years ago