I am a 2 digit number.

Mathematics

1 answer:

AlexFokin [52]4 years ago

5 0

Answer:

Step-by-step explanation:

6+5=11

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For the right triangles below, find the exact values of the side lengths a and d.

VashaNatasha [74]

Answer:

$a = \frac{4\sqrt3}3$ ; $d= 2\sqrt 2$

Step-by-step explanation:

First one is half an equilateral triangle. It means the hypotenuse is twice the shorter side, so 2a. Then let's apply the Pythagorean theorem:

$(2a)^2 = a^2 + 4^2\\4a^2 = a^2 + 16\\3a^2 = 16$

At this point is simply take the square root, use the positive value since they're lengths, and rearrange the fraction to have things look nice:

$a^2 = \frac{16}3\\a= {4\over \sqrt3}\\a = {4\sqrt3\over \sqrt3 \sqrt3}}\\ a = \frac{4\sqrt3}3$

Second one is half a square - or if you prefer, it's an isosceles right triangle, both side lengths are 2. Then its Pythagoras again:

$d^2 = 2^2 + 2^2\\d^2= 4+4 = 8\\$

Again, we just have to pick the square roots, and rearrange in a better looking way.

$d= \sqrt 8 = \sqrt{4\cdot2} = 2\sqrt 2$

6 0

3 years ago

What is the average of 1/2 and 1/3

nadya68 [22]

Hi there!

In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :

( $\frac{1}{2} + \frac{1}{3}$ ) ÷ 2 = average

Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.

To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!

So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.

For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.

for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.

and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6

$\frac{5}{6}$ ÷ 2 = $\frac{5}{12}$