Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.

Match the number set or type of number with the correct category

beks73 [17]

An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.

<h3>What is the difference between a rational and a irrational number?</h3>

The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...

<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>

Integers: This refers to numbers that are not expressed as fractions.

Rational decimals: This includes repeating decimals such as 0.4545...

Rational ratios: This includes numbers such as 1/2 or 1/4.

Rational whole numbers such as 0,1,2, etc.

Learn more about rational numbers in: brainly.com/question/17450097

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6 0

1 year ago

Jamie has a square mirror with side lengths of 6 inches.

Sophie [7]

Are we supposed to find the area? If so, It's 36 because 6 times 6 equals 36 :p Hope I helped.

8 0

3 years ago

Read 2 more answers

Question 9

IgorC [24]

The answer is (C) the middle one

7 0

2 years ago

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there are five students in the lunch line. May is 48 inches tall, Ann is 45 inches tall ,Con is 42 inches tall ,Bell is 52 inche

kirill115 [55]

Bell is the tallest person at 52 inches, Con is the shortest person at 42 inches. So 54 - 42 = 12

6 0

2 years ago

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PLZ HELP ME ☻ <img src="https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bxy%7D%7Bx%20%2B%20y%7D%20%3D%201%2C%20%5Cquad%20%5Cfrac%7Bxz%7D%

Yanka [14]

Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$

8 0

2 years ago