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Masteriza [31]
3 years ago
13

You will use 220ft of fencing to fence a rectangular plot of land. The length is 20 more than the width. What are the dimensions

of the rectangular plot? (Withyour work?)
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0
Set up the following equations:

L + W = 110
L - W = 20

110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.

We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:

2L = 130

Divide both sides by 2 to get L by itself:

L = 65

The length of the rectangle is 65 feet.

Plug this value into the second equation:

65 - W = 20

Add W to both sides:

65 = 20 + W

Subtract 20 from both sides:

45 = W

The width of the rectangle is 45 feet.
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What is the area of a circle if its radius is 5? Step-by-step explanation too.
sesenic [268]

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5

4 0
3 years ago
Find the area of following rhombuses. Round your answers to the nearest tenth if<br> necessary.
polet [3.4K]

Answer:

Area =55.4ft^2

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

\tan(60) = \frac{4\sqrt 3}{x}

Solve for x

x = \frac{4\sqrt 3}{\tan(60)}

\tan(60) = \sqrt 3

So:

x = \frac{4\sqrt 3}{\sqrt 3}

x = 4

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

Base = 4\sqrt 3

Height = 4

So, the area of the rhombus is 4 times the area of 1 triangle

Area = 4 * \frac{1}{2} * Base * Height

Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4

Area =2 * 4\sqrt 3 * 4

Area =55.4ft^2

7 0
3 years ago
The question is in the jpg.
dexar [7]
First, you need to find the height, in which it says “a height that’s half the length of the longer base side. Can you guess what that is between 7 and 5? It is 7. And you would find half of that which is 3.5. Now you know the height is 3.5. The formula to find a rectangular pyramid's volume is lwh/3 which you would do 7 * 5 * 3.5, which is equal to 122.5, and then you would divide that by 3, which is 40.833 which would round to 40.8, so there is your answer.
It is 40.8 units^3
7 0
3 years ago
Please i need this asap.
yKpoI14uk [10]

<u>Answer (1):</u>

Coefficient of any term  means the number multiplied in that term including sign.

ab^2 is same as 1ab^2.

Hence required coefficient is 1.



<u>Answer (2):</u>

4(3-7)^2+102


=4(-4)^2+102


=4(16)+102


=64+102


=166


Hence final answer is 166


<u>Answer (3):</u>

\sqrt{\frac{49}{25}}


=\frac{\sqrt{49}}{\sqrt{25}}


=\frac{7}{5}


Hence final answer is \frac{7}{5}


4 0
2 years ago
Read 2 more answers
The members of a basketball team are selling shirts during spirit week. The cost is $15 for the design and $2.50 to print each t
zhannawk [14.2K]

Answer:

The slope is 2.5 and the y-intercept is 15.

Step-by-step explanation:

The slope is 2.5 and the y-intercept is 15.

m= slope

b= y-intercept

7 0
3 years ago
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