Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
So you have 3/4x2/3 because it's 2/3 of the bag left, so you find the least common denominator (bottom number of fraction), which in this case is 12, so you find how you get to 12 for each of the bottom numbers, so x3 on the first one, and x4 on the other one. then you multiply the top numbers by what you multiply the bottom ones by, so it would be 9/12x8/12 you then multiply both numbers so 72/144 and then you simplify that to 1/2 so it's 1/2lb.
Answer:
for the third one 2/5 for the fourth one 3/5
Step-by-step explanation:
For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.
For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.
hope this helps if it doesn't I will correct myself :)
One million two hundred eighty nine thousand three hundred four
