Part A)
A mixed number is in the form where W is any whole number part. The p and q are also whole numbers, which when combined together, form the fractional part p/q
To have a mixed number between 3 and 4, we must make the whole part W equal to 3. The p and q can be anything you want as long as p is smaller than q, this is so p/q is a fraction smaller than 1. So for example, we could have p = 2 and q = 7. So the mixed number is one example of a value between 3 and 4.
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Part B)
This seems to be asking the same exact thing as part A. I'll give another example. The mixed number is between 3 and 4. Again notice the whole part is W = 3. The other two pieces are p = 4 and q = 9. We have p smaller than q.
Question 8:
Steps:
1. Find the area of the 2 triangles at both end.
2. Find the lateral surface area (that is, 3 rectangles)
3. Add them up.
Step 1:
Area of triangle = 1/2 x base x height
Area of 1 triangle = 1/2 x 4 x 5.7 = 11.4 m²
Area of 2 triangles = 11.4 x 2 = 22.8 m²
Step 2:
Area of the lateral surface area = perimeter of the triangle x height
Area of the lateral surface area = (4 + 7 + 5.7) x 8.6 = 143.62 m²
Step 3:
Total surface area = 22.8 + 143.62 = 166.4 m² (nearest tenth)
Answer: 166.4 m²
Question 9:
Steps:
1. Find the area of the square base.
2. Find the area of the 4 triangles.
3. Add them up.
Step 1:
Area of the square = 8 x 8 = 64 cm²
Step 2:
Area of 1 triangle = 1/2 x 8 x 15.3 = 61.2 cm²
Area of 4 triangles = 61.2 x 4 = 244.8 cm²
Step 3:
64 + 244.8 = 308.8 cm²
Answer: 308.8 cm²
Question 10:
Volume = Length x Width x Height
Volume = 1 1/2 x 2 1/2 x 8 = 30 ft³
Answer: 30 ft³
Answer:
x=6, -6
Step-by-step explanation:
take the root of both sides then solve