Answer:
each card's thickness ×no of cards=total thickness
3/160×X=3/4
X=3/4×160/3
X=40
40 cards r in the stack
Answer:
323 feet
Step-by-step explanation:
This is basically the Pythagorean Theorem. If you have experience with this formula, you will know that it only works with right triangles. Why are we talking about a triangle when this problem speaks of rectangles? Well, this is because when a rectangle is split diagonally, it is now two separate triangles. The Pythagorean Theorem states that a^2 + b^2 = c^2. To begin, we will take the base and height of the triangle and either square root them or square them. In this case, you will need to square them. When this is done, you will have the numbers 90,000 and 14,400. What do we do with these? We will add them together now. Next, we will take the sum of these two numbers (104,400), and square root it. This leaves you with 323.109888, but, we need to round it to the nearest foot or, the nearest whole number. This will give us 323 feet as our final answer. Glad I was able to help! ;):)
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
Answer: x = 27°
Step-by-step explanation: Both are alternate interior angles
