105(12) = $1,260(.15) = 189
189 is the fifteen percent times the total amount at the end of the year, add it plus the year total, and you have (drumroll please) $1,449 total.
So C. $1,449
It's don't have equal between that equation ?
Answer:
The right answer is <u>D) 8.8</u>
Step-by-step explanation:
The room is a square, meaning all four sides are 20ft long.
Because we know all the side lengths, we can find the perimeter of the square by adding the side lengths together.
(20 + 20 + 20 + 20) = 80
Now that we know the perimeter, we have to match this number to the feet of crepe paper.
We can find this by dividing the total length needed by the length a single roll provides.
80 / 8 = 10
Therefore, we know that Katie will have to buy a minimum of 10 rolls if she wants to cover the entire perimeter of the room.
Hope this helps! :)
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
