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mr Goodwill [35]
3 years ago
8

bryan is laying down sod in his yard to grow a new lawn.each piede of sod is a 1 foot by 1 foot square. How many pieces of sod w

ill bryan need to cover his yard if his yard measures 30 feet by 14 feet?
Mathematics
1 answer:
siniylev [52]3 years ago
3 0
Sod=1*1
to cover =30*14
to cover=420
to cover divided by one piece
=420/1
=420 pieces
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ABCD is a trapezoid.<br> What is the area of trapezoid?
lana [24]
Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
  Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
  Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
  Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
  Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
  Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
  Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
  Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
  (5/8 -1/6 -1/12)AB·h = 30 cm²
  AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
  Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
6 0
3 years ago
A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the
velikii [3]

Answer:

The angle is 5.0^{0}.

Step-by-step explanation:

The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;

Sin θ = \frac{opposite}{hypotenuse}

The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;

Sin θ = \frac{35}{400}

Sin θ = 0.0875

θ = Sin^{-1} 0.0875

  = 5.02^{0}

The angle made by the rope with respect to the ground is approximately 5.0^{0}.

3 0
3 years ago
A certain number added to its square is 30. Find the number
Alex Ar [27]
X+x²=30
x²+x-30=0
(x+6)(x-5)=0
x=-6 or x=5
5 0
3 years ago
Solve for k.<br> 14k+ 17 &gt; 3
Alborosie

Answer:

5

Step-by-step explanation:

5rrrrrrrrrrrrrffrrffjfhrhrhrhffhffh

6 0
2 years ago
Read 2 more answers
Can someone please help I will be giving Brainliest to whoever can answer :)
storchak [24]

The inequalities are matched with their correct graph respectively as follows:

  1. D ⇒ {(x, y): y > x²}.
  2. G ⇒ {(x, y): y ≥ x²+ 3
  3. C ⇒ {(x, y): y ≤ 3x² + 2}
  4. A ⇒ {(x, y): y ≥ 2x² - 5x + 1}
  5. J ⇒ x²- 3x ≥ 0
  6. H ⇒ x² - 3x + 2 ≤ 0
  7. B ⇒ {(x, y): y ≤ 1 - x²}
  8. B ⇒ {(x, y): y ≥ -1}

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

6 0
1 year ago
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