Answer:
144
Step-by-step explanation:
On this shape we are going to splt up the 4 triangles for the square to make it simple.
So, firstly, plug is the h an w of one of the triangles into the formula for the area of a triangle which is hxw/2
H=9
W=6
9x6/2=27
Then multiply the area of the triangle, 27, to get the total area of all 4 triangles (since they all have the same measurements)
27x4=108
108 is the area of all 4 triangles
Next, just put the l and w into the equation for the area of a square which is lxw
L=6
W=6
6x6=36
36 is the area of the square
Lastly, just add the areas of the triangles and the square together
108+36=144
144 is the total area/surface area, of the pyramid
Answer:
![\sec\theta=\sqrt{1+\tan^2\theta}](https://tex.z-dn.net/?f=%5Csec%5Ctheta%3D%5Csqrt%7B1%2B%5Ctan%5E2%5Ctheta%7D)
Step-by-step explanation:
The trigonometric identity is :
![\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta](https://tex.z-dn.net/?f=%5Csec%5E2%5Ctheta-%5Ctan%5E2%5Ctheta%3D1%5C%5C%5C%5Cor%5C%5C%5C%5C%5Csec%5E2%5Ctheta%3D1%2B%5Ctan%5E2%5Ctheta)
We need to express secθ in terms of tanθ.
The above equation becomes,
![\sec\theta=\sqrt{1+\tan^2\theta}](https://tex.z-dn.net/?f=%5Csec%5Ctheta%3D%5Csqrt%7B1%2B%5Ctan%5E2%5Ctheta%7D)
Hence, this is the required solution.
Answer: 113 inches
Step-by-step explanation:
To solve the question, we have to find the perimeter of a circle since the skirt is circular. This will be:
Perimeter = 2πr
where
π = 3.142
r = diameter/2 = 36/2 = 18
The closest measurement needed for the sequin trim will then be:
= 2πr
= 2 × 3.142 × 18
= 113.112
= 113 inches