Calculate the length of ab. round to the nearest hundredth. if possible, explain your answer ( very much appreciated but not needed ) because i don’t understand this subject and i’m just trying to learn.

the length of AB nearest to hundredth is 8.48 cm

Step-by-step explanation:

Pythagoras theorem states that the square of the hypotenuse side is equal to the sum of the other two sides.

Labelled the diagram as shown below.

In a right triangle BDC.

DC = 9 cm , BD = x units and BC = 12 units

then,

by Pythagoras theorem in triangle BDC

Substitute the given values we have;

Simplify:

Subtract 81 from both sides we get;

cm

Now, in triangle BDA:

AD = 3 cm and BD = x cm

Using Pythagoras theorem, to solve for AB

Substitute the given values we have;

         .....[1]

Substitute the value of in [1] we get;

or

Simplify:

cm

Therefore, the length of AB nearest to hundredth is 8.48 cm

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !