Answer:
x = 3
Step-by-step explanation:
We are told that the length of a side of the square is x.
Now, perimeter of square = 4 × side length
Perimeter of square = 4x
Also,we are told that the triangle is equilateral and a side is (x + 1).
Thus, perimeter of triangle = 3(x + 1)
Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;
4x = 3(x + 1)
4x = 3x + 3
Subtract 3x from both sides to get;
4x - 3x = 3
x = 3
no it isn't. 2cos(x) is 2 multiplied by cos(x), cos (2x) is cos(2 multiplied by x) meaning 2x is the angle you're taking the cosine of. if you want to know what cos(2x) look up the double angle rule.
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
Answer:
Height of the brick portion of the wall is 5.61 feet.
Step-by-step explanation:
Employees of the landscaping company used brick to build the top 2/3 of the wall. The total dimensions of the wall are 8 and 1/2 * 2 and 3/4 feet. So the height of the wall = 8 and 1/2 feet or in other words 8.75 feet.
Height of the brick portion of the wall = 2/3 * 8.5 = 0.66 * 8.5 = 5.61 feet
So the height of the brick portion of the wall is 5.61 feet.
Non brick portion of the wall is 8.5 - 5.61 = 2.89
First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3
