Answer:
72 square yards
Step-by-step explanation:
If half of the diagonal of a square is 6 yards, then the full diagonal is 12 yards, and then you can find the side length by using the Pythagorean theorem. You know that all of the sides of the square are equal, so let's call them s.




Therefore, since the area of a square is the side length squared, the area of this square is 72. Hope this helps!
Answer: k=8
Step-by-step explanation:
24 thirds (24/3) or 8 (simplified)
Yes he has enough index cards for all students
Answer:
The side C equals to 10. hence the answer is letter A
Step-by-step explanation:
To solve this, we need to use trigonometric functions.
we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.
Given α= 45º and Lo= 5√2 and replacing in the equation:
sin (45º) = 5√2 / C (1)
Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):
sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10