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Zepler [3.9K]
3 years ago
7

5. Michael wants to place grass on the sides of his

Mathematics
2 answers:
Elden [556K]3 years ago
6 0

Area of the shaded region to be covered with grass is 204 yd²

Step-by-step explanation:

  • Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.

Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them

Sum of parallel sides = 25 yd + (3 + 12) = 40 yd

Distance between them = 12 yd

⇒ Total area = 1/2 × 40 × 12 = 240 yd²

  • Step 2: Find the area of the lap pool.

Area = length × width = 12 × 3 = 36 yd²

  • Step 3: Find the area of the shaded region

Area to be covered with grass = 240 - 36 = 204 yd²

rjkz [21]3 years ago
3 0

Answer:

204 square yards

Step-by-step explanation:

We need to find the area of the whole trapezoid and then subtract the area of the rectangle from that.

The area of a trapezoid is denoted by: A=\frac{(b_1+b_2)*h}{2}, where b1 and b2 are the bases and h is the height. Here, the bases are 25 and 12 + 3 = 15, while the height is 12. So plug these values in:

A=\frac{(b_1+b_2)*h}{2}

A=\frac{(25+15)*12}{2}=240 square yards

The area of a rectangle is A = lw, where l is the length and w is the width. Here the length is 12 and the width is 3, so the area is 12 * 3 = 36 square yards. Subtract this from the total 240:

240 - 36 = 204

The area of the shaded region is 204 yd squared.

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The distance from a to B is 42 feet. The slope of the roof is 24 feet. What is the height of the attic
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I need help doing everything.
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Using set notations, we have that:

1. The range of the function is:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

<h3>What is the range of the function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is given by the values of y of the function.

Hence, for this problem, the range is given by these following notations:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

<h3>When is a quadratic function increasing and when it is decreasing?</h3>

Considering a concave up quadratic function, as given in this problem, we have that:

  • It decays for the values of x before the vertex.
  • It increases for the values of x after the vertex.

In this problem, the vertex is at x = 3, hence the intervals are given as follows:

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

<h3>When a function is negative?</h3>

A function is negative when it's graph is below the x-axis. Hence, for this problem, we have that:

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

More can be learned about set notations at brainly.com/question/24462379

#SPJ1

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Write a verbal expression for 4d cubed -10
SIZIF [17.4K]
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Answer:

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Step-by-step explanation

28,1760-27,8295 = 3465 miles

3465miles/17.5gal = 198 mpg

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