Answer:
Part A: 320 ft²
Part B: 2,304 ft²
Step-by-step explanation:
Part A:
Area of one triangular face of the square pyramid = ½*base*height
base = 32 ft
height = 20 ft
Area = ½*32*20
Area = 320 ft²
Part B:
Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces
= s² + 4(area of 1 triangular face)
s = 32 ft
area of 1 triangular face = 320 ft²
Total surface area = 32² + 4(320) = 1,024 + 1,280
= 2,304 ft²
Answer:
Step-by-step explanation:
The diagram consists of different boxes if the same sizes. Each box is a square with sides measuring 1 cm. The area of each box would be
1 × 1 = 1cm^2
The area of the parallelogram is the total number of squares that it contains. To determine this, the first step is to count the total number of complete squares. Looking at the diagram, there are 11 complete squares. This means
11 × 1 = 11 square units.
The next step is to count the number of incomplete squares and divide by 2. The number of incomplete squares are 8
8/2 = 4
4 × 1 = 4 square units
The area of the parallelogram would be
11 + 4 = 15 square units
Answer: Quadrant 2
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Explanation:
Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.
The reflection rule is 
showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.
The point started in quadrant 3 and it moves to quadrant 2 after the reflection over the line y = 0.
Side note: all points on the line y = 0 have a y coordinate of 0
Answer - A) -5
Step 1 - 3 Divided by 1/2 = 6
Step 2 - 6 + -5 = 1
Best Of Luck,
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