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3 years ago

Determine if 9 is rational or irrational and give a reason for your answer.

Mathematics

2 answers:

Irina18 [472]3 years ago

5 0

Answer:

9 is an rational number because it is a whole number

Step-by-step explanation:

meriva3 years ago

4 0

Answer: 9 is rational

Step-by-step explanation:

9 is a rational number because it can be written as a fraction in a form a/b where b is not zero. 9 is the same as 9/1.

Irrational numbers cannot be converted into a fraction because they do not terminte or repeat.

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Anyone know the area?

Elina [12.6K]

Answer: The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = ( $\frac{1}{2}$ ) * b * h ;

in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;

= (13 cm * 5 cm) / 2 ;

= [ (13 * 5) cm²] / 2 ;

= 65 cm² / 2 ;

A = " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;

or, write as: " 8 $\frac{1}{2}$ cm² " .
_________________________________________________________

5 0

3 years ago

A total of 150 new recruits join an army training course. After one month, 30 have dropped out. what is the percentage decrease

Pachacha [2.7K]

So what will it be a percentage of? it will be the percentage of the original recruits, of the original 150.

for this, we need to divide the number of recruits that left over all recruits, and multiply by 100%: $\frac{30}{150} *100%= \frac{1}{5} *100%=20%$

so the number of trainees decreased by 20 %

4 0

3 years ago

Read 2 more answers

A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size

scZoUnD [109]

Answer:

The rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by 3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Row

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

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3 years ago

Jayden had $8 last week. He now has $11. What is the percent of change?

vagabundo [1.1K]

Answer:

37.5 %

Step-by-step explanation:

11/8 = 1.375

1.375 x 100 = 137.5 %

137.5% - 100% = 37.5%

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3 years ago

Find the slope and y-intercept

Serggg [28]

Answer:

y-intercept: 0

slope:120/7

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers