Answer: the length of the prism is 9cm
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the rectangular prism is three times the width.. It means that
L = 3W
The height and the width are the same. This means that
H = W
Therefore,
Volume = 3W × × W × W = 3W³
If the volume of the prism is 81 cubic centimeters, it means that
81 = 3W³
Dividing through by 3, it becomes
81/3 = 3W³/3
W³ = 27
Taking cube root of both sides, it becomes
W = 3
Therefore, the the length of the prism would be
L = 3W = 3 × 3
L = 9 cm
Answer: Hope this helps
Step-by-step explanation: 24 divided by 4 using long division, with explanation and illustration.
Answer:
Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.
Step-by-step explanation:
We are given that Richard simplified an expression in threes steps
We have to find the incorrect step in simplification of Richard
Step 1: all the exponent are multiplied by 3

Step 2:The exponents in the denominator are multiplied

Step 3:The exponents of the same base are subtracted during division


Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.
The secant of the angle through a point (-5, 3) is -13/5
<h3>Equation of a circle</h3>
The equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
<h3>Secant of angle </h3>
The secant of the angle through a point (x, y) is secФ = r/x where
- r = radius of circle and
- x = x-coordinate of point
Now for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
Learn more about secant of an angle here:
brainly.com/question/14910565
Since it costs $4 to rent the first movie, and $X for each additional movie, the correct equation is y=4x+4.
The reason it's 4x instead of 5x is because the first movie costs $4, and the remaining 4 movies cost $X each.