All categories

3 years ago

Area of the lawn? Please

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

6 0

Answer:

68 m²

Step-by-step explanation:

The formula for the area of a rectangle is:

Area = Length x Width

Let's put in the numbers we have been given.

A = 14 x 10

Multiply.

A = 140

So, we know the area of the entire rectangle is 140 square meters (m²). To get the area of just the lawn, we need to find the area of the other sections and then subtract them.

Let's first find the area of the flower bed. The formula for the area of a triangle is:

Area = $\frac{1}{2}$ x Base x Height

Let's put in the numbers we have been given.

A = $\frac{1}{2}$ x 3 x 8

Multiply.

A = 12 m²

Let's now find the area of the vegetable patch. The formula for the area of a trapezium is:

Area = $\frac{1}{2}$ x Height x (a + b)

Note that a and b in this formula are the two parallel sides of the trapezium.

Let's put in the numbers we have been given.

A = $\frac{1}{2}$ x 10 x (5 + 7)

Evaluate.

A = 60 m²

Now we have the area of all three shapes:

Rectangle garden: 140 m²

Triangular flower bed: 12 m²

Trapezoid vegetable patch: 60 m²

Let's now subtract the area of the triangle and trapezoid from the area of the rectangle.

140 - 60 - 12 = 68 m²

Lesechka [4]3 years ago

5 0

Answer:

I cant see the picture can you re post

Step-by-step explanation:

You might be interested in

Determine the formula for the nth term of the sequence: -2,1,7,25,79,...

rodikova [14]

A plausible guess might be that the sequence is formed by a degree-4* polynomial,

$x_n = a n^4 + b n^3 + c n^2 + d n + e$

From the given known values of the sequence, we have

$\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}$

Solving the system yields coefficients

$a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4$

so that the n-th term in the sequence might be

$\displaystyle x_n = \boxed{\frac{5 n^4}{8}-\frac{19 n^3}{4}+\frac{115 n^2}{8}-\frac{65 n}{4}+4}$

Then the next few terms in the sequence could very well be

$\{-2, 1, 7, 25, 79, 208, 466, 922, 1660, 2779, \ldots\}$

It would be much easier to confirm this had the given sequence provided just one more term...

* Why degree-4? This rests on the assumption that the higher-order forward differences of $\{x_n\}$ eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of $\{x_n\}$ by $\Delta^{k}\{x_n\}$ . Then

• 1st-order differences:

$\Delta\{x_n\} = \{1-(-2), 7-1, 25-7, 79-25,\ldots\} = \{3,6,18,54,\ldots\}$

• 2nd-order differences:

$\Delta^2\{x_n\} = \{6-3,18-6,54-18,\ldots\} = \{3,12,36,\ldots\}$

• 3rd-order differences:

$\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}$

• 4th-order differences:

$\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}$

From here I made the assumption that $\Delta^4\{x_n\}$ is the constant sequence {15, 15, 15, …}. This implies $\Delta^3\{x_n\}$ forms an arithmetic/linear sequence, which implies $\Delta^2\{x_n\}$ forms a quadratic sequence, and so on up $\{x_n\}$ forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

5 0

2 years ago

Ted and Meg have each drawn a line on the scatter plot shown below:

expeople1 [14]

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

_________________________________________________

❂✨Answered By PureCartier✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

8 0

3 years ago

Read 2 more answers

What is the theoretical probability that a coin toss results in two heads showing?

myrzilka [38]

Answer:

Very likely

Step-by-step explanation:

(1/2)x2=1

8 0

3 years ago

Two consecutive odd numbers total -20 find the smaller

Yakvenalex [24]

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

6 0

2 years ago

NO LINKS OR I WILL REPORT

Elenna [48]

Answer:

Gina's height in inches: 63 inches

Noelle's height in inches: 67 inches

Equation: n + (n - 4) = 130

Step-by-step explanation:

n + (n - 4) = 130

n + n - 4 = 130

2n - 4 = 130

2n - 4 + 4 = 130 + 4

2n = 134

2n ÷ 2 = 134 ÷ 2

n = 67

67 - 4 = 63

7 0

3 years ago