SiriusBlack4577
contestada

I'll give brainliest if you show your work. Plz answer quickly. 0.89 is a square root except the only one that is being divided by 2.
Four students provide the following approximations for the square root of 0.89.
Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of 0.44<0.89/2<0.45.
Matthew states that the square root of 0.89 is between 0 and 1 because of 0< 0.89<1.
Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0^2
Ming states that the square root of 0.89 is between 0.93 and 0.95 because of (0.93)^2<0.89<(0.95)^2
Which solution(s) are correct?
Anyah's only
Ming's only
Anyah’s, Matthew’s, and Rhoda’s
Matthew’s, Rhoda’s, and Ming’s

Respuesta :

battlefortroy
Hello! I'll take a shot at this:

Basically, these four students are disputing the square root of .89

You are to find our which are correct, and which are not. 

First thing you should do is find out for yourself what the square root really is. You can do this by hand or by calculator for this it's really simple either way. 

But if you choose to do it by a calculator, just enter it into a TI-84 or any other calculator that deals with square root calculations. 

The square root of .89 is: 0.9433981132

Now that we know this, let's examine the student's and their answers.

Anayah thinks it's between .44 and .45
Matthew believes it is anywhere between 0 and 1
Rhoda believes it is between .9 and 1.0
Ming believes it is between .93 and .95

Well, we already know that roughly, it's .94 

.94 falls on the number line after 0, and JUST before 1
This means Matthew is correct. 

It is also between .9 and 1.0, as it's .94
This means Rhoda is also correct

Even more specifically, it's between .93 and .95
This means Ming is ALSO correct.

Sorry Anayah, you're wrong girl!!

Your answer is D: Matthew's, Rhoda's, and Ming's.

deepakrai138

The correct option is D. Matthew’s, Rhoda’s, and Ming’s.

Given,

Four students provide the following approximations for the square root of 0.89.

On calculating,

[tex]\sqrt{0.89} =0.943398113[/tex]

Now considering the 4 students approximations,

1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of [tex]0.44<0.89/2<0.45.[/tex] This statement of  anyah is false because the [tex]\sqrt{0.89} =0.943398113[/tex], hence it not lies in between [tex]0.44[/tex] and [tex]0.45.[/tex]

2. Matthew states that the square root of [tex]0.89[/tex] is between 0 and 1 because of 0< 0.89<1. clearly the value of [tex]\sqrt{0.89} =0.943398113[/tex] lies in between [tex]0[/tex] and [tex]1.[/tex]So this statement is true.

3. Rhoda states that the square root of [tex]0.89[/tex] is between [tex]0.9[/tex] and [tex]1.0[/tex] because of [tex]0.9^2 <0.89<1.0^2[/tex] . this statement is true because the square of [tex]0.9[/tex] is [tex]0.81[/tex] and the square of [tex]1[/tex] is [tex]1[/tex] , and [tex]0.89\\[/tex] lies in between them. So the statement is  true.

4. Ming states that the square root of [tex]0.89[/tex] is between [tex]0.93[/tex] and [tex]0.95[/tex] because of [tex](0.93)^2<0.89<(0.95)^2[/tex]. this statement is also true.

Here only Anyah's statement is false.

Hence the correct option is D. Matthew’s, Rhoda’s, and Ming’s.

For more details on Square root follow the link:

https://brainly.com/question/1527773