Answer:
Step-by-step explanation:
To calculate the total surface area, you first need to calculate the surface area of one of the 4 triangles and multiply that by 4.
We can solve this two ways (I would recommend using 2).
1)
Using herons formula:
a, b, c = different sides of the triangle (length)
s = (a + b + c) / 2
a = 
If we input values:
a = b = c = 6.5m
s = (3 * 6.5) / 2 = 9.75
which is about 18.29478 (exact answer: 
)
18.29478 * 4 = the entire area = 73.17912 m^2
exact whole area: 
2)
Each of the four triangles can be divided into 2 more triangles.
(2 * 4 = 8 = total amount of new small triangles)
How we calculate the area of one of the new small ones:
(h * w) / 2 = a
h = 5.6m
w = (width of one of the four triangles width divided by 2) = 3.25m
3.25m * 5.6m = 18.2m^2
18.2m^2 / 2 = 9.1m^2
There are 8 of the new small triangles in the biggest triangle made up of four smaller ones.
So if we take 9.1m^2 * 8, we get the total area!
Total area: 72.8m^2
Happy to help you!
If you have any questions, ask in the comments below!
Have a good day! (●'◡'●)
Answer:
(x + 4), (y + 9)
Step-by-step explanation:
y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.
The turning point of y = x^2 is at the origin (0, 0).
So the transformation is 4 units to the right and 9 units upwards:
(x + 4), y+ 9).
Solution
For this case we need to find the number of cubes in the stack given so then we can do this:
The first line present 5 cubes
The second line present 5 cubes
And the last line we got:
10 cubes
Then the total of cubes are:
10 +5+5 = 20 cubes
If we need to find the number of faces we can do the following:
5+ 4+ 4+4 +4 +1 + (5+4+4+4+4+1 ) + (5+4+4+4+4+1 ) + (5+ 4+4+4 +4 )
And solving we got:
22+22+ 22+21= 87
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer:
Square length of 5cm
Step-by-step explanation:
Given
Required
Determine the possible measure of square from the rectangular sheet
To do this, we simply calculate the greatest common factor (GCF) of the dimension of the rectangle.
The common factor is: 5
<em>Hence, the side length of the square is 5cm</em>
