Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, 4)
Point (3, 12)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction] Subtract:
- [Fraction] Divide:
Answer:
242.52 cubic inches
Step-by-step explanation:
Volume of the cake pan = Length × Width × Height
From the about question, we have the following dimensions for the cake pan
8 inches wide = Width
11 inches long = Length
7 cm deep = Height
We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.
Converting Height in cm to inches
From the question,
2.54 cm = 1 inch
7cm = x inch
Cross Multiply
2.54 × x = 7 × 1
x = 7/2.54
x = 2.7559055118 inches
Volume of the cake pan =
8 × 11 × 2.7559055118
= 242.51968504 cubic inches
Approximately, the volume of the cake pan = 242.52 cubic inches
What is the maximum volume, in cubic
inches, the cake pan can hold is 242.52 cubic inches
160 is 100% of 160, 480 is 4 times that. So 400%
Answer:
1058.4 in^2
Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2
Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2
Add them together: 498.4 + 560 = 1058.4 in^2
Yes because they are constant throughout the table.
