Mathematics, 04.02.2020 05:03 morronefamily1

A15-meter by 23-meter garden is divided into two sections. two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.
what is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?

A15-meter by 23-meter garden is divided into two sections. two sidewalks run along the diagonal of t

Answers: 3

Show answers

Answers

Answer from: winterblanco

1) The square section

The side length of the square is 15m.

You can use Pythagora's theorem to find the length of the diagonal:

Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2

=> Diagonal = √(450m^2) = 21.21m

2) The small rectangle section

The sides of this rectangle are 23 - 15 = 8 m and 15 m

Now use the Pythagora's theorem:

diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>

diagonal = √(289m^2) = 17 m

3) Then the sum of the lengths of the diagonals of the two sections is 17m + 21.21 m = 38.21

38.21 m

Answer from: 200251

The approximate sum of the lengths of the two sidewalks, shown as dotted lines is 38.21m.

Given that,

Total Length of the garden = 23m

The side length of the square section = 15m

The side length small rectangle section = 23m - 15m = 8 m

We have to find,

The approximate sum of the lengths of the two sidewalks, shown as dotted lines.

According to the question,

The square section,

The side length of the square is 15m.

By using Pythagoras theorem the length of the diagonal:

$( Diagonal )^{2}$ $= (15m)^{2} + (15m)^{2}$ $= 450m^{2}$

Diagonal = $\sqrt{450m^{2} }$ = 21.21m

The small rectangle section,

The sides of small rectangle are = 23m - 15m = 8 m

Now, By using the Pythagoras theorem:

$(Diagonal)^{2} = (8m^{2} ) + (15^{2}m) = 289m^{2}$

Diagonal = $\sqrt{289m^{2} }$ = 17 m

The sum of the lengths of the diagonals of the two sections is,

= 17m + 21.21 m = 38.21m

Hence, The approximate sum of the lengths of the two sidewalks, shown as dotted lines is 38.21m.

For the more information about Pythagoras Theorem click the link given below.

link

Answer from: Quest

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

Answer from: Quest

Bis the answer! hope this

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Apublic library wants to place 4 magazines and 9 books on each display shelf. the expression 4s+9s represents the total number of items that will be displayed on s shelves. simplify the expression

Answers: 2

Answer

Mathematics, 21.06.2019 17:30

Cora bought a package of erasers. there are 4 pink erasers and 12 blue erasers. what is the ratio of pink erasers to blue erasers?

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

Factor the following expression. 27y3 – 343 a. (3y + 7)(9y2 + 2ly + 49) b. (3y – 7)(9y2 + 2ly + 49) c. (3y – 7)(932 – 217 + 49) d. (3y + 7)(92 – 2ly + 49)

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

For what type of equity loan are you lent a lump sum, which is to be paid within a certain period of time? a. a line of credit b. equity c. a second mortgage d. an amortization

Answers: 3

Answer

You know the right answer?

A15-meter by 23-meter garden is divided into two sections. two sidewalks run along the diagonal of t...

Questions