Answer:
The lateral height of the square pyramid is
Step-by-step explanation:
step 1
Find the surface area of the cube
The surface area of the cube is equal to
where
b is the length side of the cube
w have
substitute
step 2
Find the lateral height of the square pyramid
we know that
the surface area of the square pyramid is equal to
where
B is the area of the base
b is the base of the lateral triangle (base of the square)
h is the lateral height of the square pyramid
-----> is the same surface that the cube
substitute the values and solve for h
C (x-9)(x-5)
Proof:
-9-5=-14
-9*-5=45
Foiling:
x^2-5x-9x+45
x^2-14x+45
The area of the rectangular garden is 50 x 10 = 500 square feet.
The perimeter of the rectangular garden is 50 + 50 + 10 +10 =120 feet.
The perimeter of the square also needs to be 120 because it is using the same amount of fence.
Divide 120 by 4 sides: 120/4 = 30
Each side of the square garden would need to be 30 feet.
The area of a square is Side^2, 30^2 = 900 square feet.
The square is 900 - 500 = 400 square feet more.
The graph of the solution set for the given system of inequalities can be seen below.
<h3>
How to graph the system of inequalities?</h3>
Here we have two inequalities:
2x + y < 0
y ≥ -4 - 2x
First, we can write both of these in slope-intercept form, to get:
y < -2x
y ≥ -2x - 4
To graph the first one, we need to graph a dashed line along:
y = -2x (we use a dashed line because the symbol < means that the points on the line are not solutions).
And then we shade the region below that line.
For the second one, we need to graph a solid line along:
y = -2x - 4 (this time we sue a solid line, because the points on the line are solutions).
And then we must shade the region above the line.
The graph of the system of inequalities can be seen below. The double shaded region is the solution set for the system.
If you want to learn more about systems of inequalities:
brainly.com/question/9774970
#SPJ1