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ryzh [129]
3 years ago
11

A rectangular yard measuring 35ft and 45ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the

way along the fence find the area of this walk
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

First, calculate the area of the rectangular yard.

A = L x W    where A equals area, L equals length, and W equals width.

According to your stated problem:

A = 31 x 49

A = 1519 square feet          <-------Area of Rectangular yard.

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Monica [59]

Answer:

\theta = 82.2^\circ

Step-by-step explanation:

Let \  \angle BAC = \theta

Opposite = BC ,

Adjacent = AB = x = 3 ,

Hypotenuse = AC = y = 22

<em><u>Using trigonometric ratios.</u></em>

sin \theta = \frac{opposite}{hypotenuse }\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}

Since we have adjacent and hypotenuse we use cosine's  ratio

to find the angle.

           cos \theta = \frac{x}{y} = \frac{3}{22} \\\\\theta = cos^{-1} \frac{3}{22} = 82.16 = 82.2^\circ

6 0
3 years ago
In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor. Ifcandidate
zhannawk [14.2K]

Answer:

1860 - 550 = 1310 \\  = 1310

6 0
3 years ago
Suppose that someone is offering to sell you raffle tickets. There are blue, green, yellow, and red tickets available.
Ghella [55]

Answer:

Step-by-step explanation:

↑

8 0
3 years ago
Find the area of the shaded polygons:
aleksandrvk [35]

Answer:

\large\boxed{Area=9}

Step-by-step explanation:

\text{Use Pick's theorem.}

\text{Pick’s Theorem then states that:}

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i\ \text{stands for the number of points in the interior of the shape,}\\b\ \text{stands for the number of points on the boundary of the shape.}

\text{We have}\\\\i=8\ \text{and}\ b=4.\\\\\text{Substitute:}\\\\Area=8+\dfrac{4}{2}-1=8+2-1=9

8 0
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Find equation of line passimng through(1,6)¶llel to x-2y=6
butalik [34]
Since the given line is <span>ll to the req. line, so
</span>x-2y=62y = x - 6
y = (1/2)x - 3
slope = 1/2

equation of the req. line is
y - y1 = m(x - x1)
y - 6 = 1/2(x - 1)
2(y - 6) = 1(x - 1)
2y - 12 = x - 1
2y = x -1 + 12
2y = x + 11
y = (1/2)x + 11/2
4 0
3 years ago
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