Hey guys! I’m having a lot of trouble with this paper, would anyone mind explaining one of them to me?

Mathematics

1 answer:

lyudmila [28]2 years ago

7 0

Answer: See Explanation

Step-by-step explanation:

This worksheet seems to be about "Special Right Triangles"

In this worksheet, it instructs you to find the missing side lengths.

Explaining number 1)

Step 1) Identifying the triangle and what it means

Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.

Step 2) Answer

The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)

*you can also use the following attachment to help you on this problem

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In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1

lora16 [44]

The value of x is 1/5

Step-by-step explanation:

In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.

Given probabilities are:

$\frac{1}{10}, \frac{1}{5}, \frac{1}{2}, x$

The sum of these probabilities will be equal to 1.

So,

To find x,

$\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x = 1\\\frac{1+2+5}{10}+x=1\\\frac{8}{10}+x=1\\x= 1- \frac{8}{10}\\x = 1- \frac{4}{5}\\x= \frac{5-4}{5}\\x=\frac{1}{5}$