Ask question

Ask question

All categories

3241004551 [841]

3 years ago

10

John and Mary Smith plan to put a wooden fence around their yard in order to keep the mean cats away from their dog Fido. There

is a gate that is 3.13 m long which is not included as part of the length of the fence. What total length of fence is required to enclose a rectangular yard whose sides are 14.2 m and 21.6 m in length

1 answer:

QveST [7]3 years ago

6 0

Answer:

68.47 m

Step-by-step explanation:

Data provided:

The shape of the yard as rectangular

Length of the gate = 3.13 m

Sides of the yard = 14.2 m

Length of the yard = 21.6 m

Therefore,

The total length of the fence

= Perimeter of the rectangular yard - Length of the gate

or

= 2 ( Side of the yard + Length of the yard ) - Length of the gate

= 2 ( 14.2 + 21.6 ) - 3.13

= 71.6 - 3.13

or

The total length of the fence = 68.47 m

You might be interested in

Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

>> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

>> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

3 0

3 years ago

Jak wykonać to zadanie

balandron [24]

Step-by-step explanation:

jsjsjsjshjososnsnxjxjxjxjxjdjdj

8 0

3 years ago

I'll give brainlest to first correct answer!!!

zvonat [6]

Answer:

I think there both negative but I'm not sure

Step-by-step explanation:

if one is a positive and one is a negative then reflect over the y axis they should both turn negative

6 0

2 years ago

Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?

yarga [219]

Point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form

4 0

3 years ago

Jackie drinks a bottle of water and a bottle of orange juice every morning.

melisa1 [442]

Answer:

15.30

Step-by-step explanation:

use code tiko

3 0

3 years ago

Read 2 more answers