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erastova [34]
3 years ago
9

Which of the following measurements could be the side lengths of a right triangle?

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

For this case we have that every rectangle traingule complies with the Pythagorean theorem:

c = \sqrt {a ^ 2 + b ^ 2}

Where:

c: It is the hypotenuse

b: It's the base

a: It's the height

It is noted that if we replace:

a = 66\\b = 88\\c = \sqrt {66 ^ 2 + 88 ^ 2}\\c = 110

So, we have c = 110 \ in ^ 2

If we evaluate the other options we will obtain wrong results.

Thus, a rectangle triangle can have measurements of:

66 in, 88 in and 110 in respectively

Answer:

Option b

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choose five ordered pairs whose first and second coordinates are equal. plot these points and connect them. what kind of figure
Effectus [21]

Answer:

The figure is a straight line.

The figure lies in the first and the third quadrants.

Step-by-step explanation:

Take five ordered pairs as (1,1),(2,2),(-1,-1),(-2,-2),(3,3)

Here, the first and second coordinates are equal.

Now, plot these points and connect them.

From the graph, it can be observed that the figure is a straight line.

Also, the figure lies in the first and the third quadrants.

Download pptx
5 0
3 years ago
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Kazeer [188]

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a <u>Bernoulli</u> <u>Experiment</u>, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate <em><u>Expected</u></em> <em><u>Value</u></em>, which is the mean, in these conditions:

E(X)=\frac{r}{p}

r is number of times it is repeated

p is probability it happens

Solving:

E(X)=\frac{5}{1/6}

E(X) = 30

<u>Variance</u> is given by:

Var[X]=\frac{r(1-p)}{p^{2}}

Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}

Var[X]=5.\frac{5}{6}.6^{2}

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

4 0
3 years ago
How do i solve for y and z?
MAVERICK [17]
Y = 6, z = 2

~Hope this helped!~

(The first page is the beginning of the equation, and the next page is the ending)

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kompoz [17]
B is the answer.

x (the variable for number of hours worked) must be connected the number indicating the hourly rate, which is 56.

375 must be added at some point in the equation due to it being an indicated signing bonus (it has to be added).
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3 years ago
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