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timofeeve [1]
1 year ago
13

3. Adjacent sides of a rectangle are in the ratio 5:12, if the perimeter of the rectangle is 34 cm, find the length of the diago

nal. 3. Adjacent sides of a rectangle are in the ratio 5:12 , if the perimeter of the rectangle is 34 cm , find the length of the diagonal.​
Mathematics
1 answer:
notsponge [240]1 year ago
3 0

Answer:

Adjacent sides are in the ratio 5 : 12

That means,

Let length = 12x and breadth = 5x

Perimeter = 34

2(l+b) = 34

12x + 5x = 17

17x = 17

x = 1

Lenth =12 cm

Breadth = 5 cm

By Pythagorean theorem

The length of the diagonal of rectangle = 13 cm

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abruzzese [7]

Answer:

a_n=a_{n-1}+2^{n-1}\ \ n>1

Step-by-step explanation:

Recursive Sequence

We are given the following sequence:

-1, 1, 5, 13...

It's required to find the recursive term for the sequence.

A recursive formula calculates each term as a function of one or more previous terms.

To find the recursive formula, we must find a pattern and transform it into a math expression.

Let's write the sequence, and below it, the difference of consecutive terms:

-1,   1,   5,   13...

+2,  +4,  +8

Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.

The exponent is one less than the number of the term, thus:

a_n-a_{n-1}=2^{n-1}

Thus:

\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}

Testing:

n=1

a_1=-1 (given).

n=2

a_2=a_{1}+2^{2-1}=-1+2^{1}=1

n=3

a_3=a_{2}+2^{3-1}=1+2^{2}=5

n=4

a_4=a_{3}+2^{4-1}=5+2^{3}=13

3 0
2 years ago
Write an equation in point-slope form of the line having the given slope that contains the given point. m=34m=34, (36,24)
Basile [38]
All we have to do is input the x, y, and m value into the equation. It'd look like tihs:

y - 24 = 34(x -36)
3 0
3 years ago
Need help quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Nookie1986 [14]

Answer:

-10,000 / -2000, although 10,000/2000 gives the same answer.

Step-by-step explanation:

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Also, she wants to descend 10,000 feet, so that makes it -10,000 int he equation.

3 0
3 years ago
The sum of two numbers is eight one number is four less than the other find the numbers
mash [69]

Step-by-step explanation:

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

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4 0
2 years ago
Read 2 more answers
For their homecoming​ parade, the students of​ U-Math have created a colorful​ banner, 57 meters in​ length, that is made of two
BartSMP [9]

Answer:

Length\ of\ the\ long\ piece=40\ meters\\\\Length\ of\ the\ short\ piece=17\ meters

Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

Set up a system of equations:

\left \{ {{s+l=57} \atop {s=l-23}} \right.

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

(l-23)+l=57\\\\2l=80\\\\l=\frac{80}{2}\\\\l=40

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

s=40-23\\\\s=17

6 0
3 years ago
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