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LenKa [72]
4 years ago
4

Shown below is a blueprint for a rectangular kennel at a pet hotel. The blueprint of the rectangular kennel shows one side is 24

feet and another side is 13 feet. What is the total length of fencing needed to enclose the kennel? The total length needed is blank feet. The solution is
Mathematics
1 answer:
zaharov [31]4 years ago
5 0

Answer:

74 feet

Step-by-step explanation:

Given that,

length of a rectangular kennel = 24 feet

width of a rectangular kennel = 13 feet

To find,

total length of fencing needed to enclose the kennel

we will use perimeter formula of rectangle

perimeter length needed to enclose the kennel = 2(L + w)

= 2(24 + 13)

= 2(37)

= 74 feet

So, the total length of fencing needed to enclose the kennel = 74 feet

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Julian wrote this number pattern on the board:
geniusboy [140]

Answer:


Step-by-step explanation:


10, 24 and 38 are composite numbers.


(10 can be divided by 5 and 2; 24 can be divided by 8, 3, 12 and 2; 38 can be divided by 19 and 2).


The others are prime numbers.

3 0
4 years ago
Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa
Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0
4 years ago
Write a recursive formula for each sequence given or described below.
valentinak56 [21]

Answer:

a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ......

Step-by-step explanation:

Doug has joined a job with a starting salary of $30000 per year.  

Hence, if a₁ is the salary of Doug in the first year, then  

a₁ =30000

Now, each year Doug will receive a raise of $3000 in his salary.

Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.

Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.

Therefor, in the similar manner the recursive formula for his salary in each year will be given as a_{n} =a_{n-1} +3000 and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)

7 0
3 years ago
The number of children at the library was 3 times the number adults. The total number of people at the library was 48. How many
Rufina [12.5K]

Answer:

D 36

Step-by-step explanation:

<em>Write the information algebraically</em>

c = 3a

c + a = 48

c = children, a = adults

<em>In the second sentence (in bold), we can replace c with 3a</em>

c + a = 48 → 3a + a = 48

<em>Simplify</em>

3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)

<em>We can then substitute or plug in a = 12 into the original equation:</em>

c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)

<h3>There are 36 children</h3>
7 0
3 years ago
Which of the following is an arithmetic sequence?
Travka [436]

Step-by-step explanation:

C. n 1 2 3 4

an 3 6 9 15

hope this helps you

have a great day : )

5 0
3 years ago
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