Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
Use the pythagorean theorem to solve this: a^2 + b^2 = c^2.
You already have a and b which are 3 and 4. Square them up and you will get 9 + 16 = c^2.
Add.
25 = c^2
Lastly, square root both sides.
5 = c
The length of AB is 5.
Answer:
22 is the answer
Step-by-step explanation:
Answer:
a < - 3
Step-by-step explanation:
Given
- 2a > 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus
a < - 3
Angle D is equal to Angle B because AB and DE are parallel to each other.
AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.
Setting up the equation you have:
2x + 2x + 72 = 180
Simplify:
4x + 72 = 180
Subtract 72 from each side:
4x = 108
Divide both sides by 4:
x = 108 / 4
x = 27