A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-thirds cups of liquid detergent. How much liquid in all, in cups, is needed?

6 and 1/12 cups

Step-by-step explanation:

For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:

11/3 + 7/4 + 2/3

Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.

13/3 + 7/4

Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.

If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):

https://youtu.be/bcCLKACsYJ0 -- Khan Academy

https://youtu.be/5juto2ze8Lg -- Math Antics

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

its an acute right triangle

step-by-step explanation: