There is no solution to the equation.
The x is cancelled out.
See attachment file below.
Hope it helped!
The area of the square pyramid is 105 sq inches.
Step-by-step explanation:
Given,
The base of the pyramid (b) = 5 inches
The height (h) = 8 inches
To find the area of the square pyramid.
Formula
The area of the square pyramid = 2bh + 
Now,
The area of the square pyramid = 2×5×8 + 
sq inch
= 105 sq inches
Hence,
The area of the square pyramid is 105 sq inches.
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:
324 square meters
Step-by-step explanation:
Hey there!
The surface area of a shape is the area of all the surfaces added up
The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96
Now we need to do this for the other sides
the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192
The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36
Now we add all the values: 96+192+36 which is 324
So the surface area of the prism is 324 square meters
