The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
B. y=2x-5
-4y=8x-20
y=-2x+5
2x-5=-2x+5
x=2.5
2x*2.5-5=0
-2x*2.5+5=0
so (2.5,0)
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
<u>Step-by-step explanation:</u>
Percent stands for per hundred.
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
Example – 75%
= 75/100
= 0.75
<u>To convert decimal to mixed fraction:</u>
1. Divide the given decimal number by the place of the decimal and remove the point from the numerator.
Example – 5.25
= 525/100
2. Simplify the fraction if possible.
Example = 525/100 = 21/4
3. Divide the numerator by the denominator.
On solving we get, 5 as the quotient and 1 as the remainder.
To convert into a mixed fraction = the remainder becomes the numerator and denominator remains the same
Mixed fraction becomes = 5 1/4
Answer:
Population
Step-by-step explanation:
In mathematics, when we talk about the people, places, or things under consideration, we are referring to the population. The Population is the entire sum of objects in a study. When a researcher wants to study factors that concern a particular set of people, places, or things, the group under study is the population. For example, the researcher might want to do a study on the amount of food consumed by Brazilian students in the year 2019. The Brazilian students represent the population, because they are the group of people being studied.
The population under study might sometimes be difficult to study as a whole. For example, the study of the entire Brazilian students might be cumbersome. In such cases, a sample can be drawn from the population and studied, or the population narrowed down a little more, so that it can be easily studied.
