Answer:
27 feet
Step-by-step explanation:
Two walls have same area
Area of first wall(square) = 18*18 = 324
Area of second wall = 12 * x = 324
324/12 = 27
27 feet
Groups of four for the group of 288 and groups of five for the group of 360
Step-by-step explanation:
common factor 8 and 18 is 2.
For y=3x+4, you would put 4 on the y-intercept and from that point you go up 3 and right 1 and then plot the second point.
For y=-x-4, you would put -4 on the y-intercept and from that point go down 1 and right 1 and then plot the second point.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3