the range of the scores is 95-58 = 37
Answer:
1. false
2. false
3. true
4. true
5. true
6. false
Step-by-step explanation:
1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
3. The value of both expressions when t = 3 is 30.
4. The value of both expressions when t = 7 is 54.
5. The expressions are equivalent.
6. The expressions are not equivalent.
6t + 12 = 6(t + 2)
6(3) + 12 =6((3) + 2)
18 + 12 = 6(5)
30 = 30
6(7) + 12 = 6((7) + 2)
42 + 12 = 6(9)
54 = 54
Answer:
16 feet
Step-by-step explanation:
Area of a Triangle: (Base*Height)/2.
Therefore, Base:(2A)/Height =(2*24)/2=16
With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.
<h3>What is the surface area of a truncated prism?</h3>
The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:
A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)
A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²
A = 276 cm²
With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.
To learn more on surface areas: brainly.com/question/2835293
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