∛125x^21y^24
Split them up:
∛125 * ∛x^21 * ∛y^24
∛125 = 5
∛x^21 = x^7 21/3 = 7
∛y^24 = y^8 24/3 = 8
The simpler form of the radical expression: ∛25x^21y^24 is: <span>D. 5x^7y^8</span>
Basically just do the problem backwards.
72÷9=8
72÷8=9
29°
Consider the right triangle between the plank and the ground
the angle can be found using tangent ratio
tanx° = 
where adjacent = 18 and opposite = 10
tanx° = 
x = 
() = 29.0546 ≈ 29°
So 4/5 times "something" = 32.
That means that something = 32 / (4/5) = 40.
To turn this multiplication around, it helps to think about 2 * 3 = 6, how would you write 3 = ?. You quickly :"see" that it should be 3=6/2.
Answer:
96 cm²
Step-by-step explanation:
The surface area of a pyramid is the sum of the base area and the area of the four triangular faces. Using the formulas for each of these, a simplified formula can be written.
A = s(s +2h)
where s is the side length of the square base, and h is the slant height of a triangular face.
__
For the given dimensions, s=4 cm, h=10 cm, the surface area is ...
A = (4 cm)(4 cm +2×10 cm) = (4)(24) cm²
A = 96 cm²
The surface area of the pyramid is 96 square centimeters.
