Answer:
B. He used the wrong expression to represent the area of the base of the pyramid.
Step-by-step explanation:
Given
See attachment for pyramid

Required
Vikram's error
The surface area of a square pyramid is:

Where




So:


By comparing the calculated expression with

Option (b) is correct
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
Before we solve for anything, let's remember what our formula is.
The circumference of a circle is 2PiR (2 x Pi x R).
Our radius is 157.64.
Pi is 3.14 (estimated).
Let's plug our numbers into the formula.
Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).
Your circumference is:
989.979 ft^2.
I hope this helps!
Answer:
(3, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
3x + y = 10
y = x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 3x + (x - 2) = 10
- Combine like terms: 4x - 2 = 10
- Isolate <em>x </em>term: 4x = 12
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 2
- Substitute in <em>x</em>: y = 3 - 2
- Subtract: y = 1
And we have our answer!
Answer:
h = 9
Step-by-step explanation:
cylinder A = 
*4 = 113.0973355 
Cylinder B = 113.0973355 
113.0973355
= 
*h
113.0973355
/ 4
= h
8.999999999998 = h
I think b/c of the rounding error of rounding off pi, that h= 9