Find the perimeter of 8cm, 5cm, 7cm,<br> 10cm

BabaBlast [244]

The value of the expression will be 8.166.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 13.41 x (5.4 divided by 9)

Now,

Solve the expression as;

⇒ 13.41 x (5.4 divided by 9)

⇒ 13.41 x (5.4 ÷ 9)

⇒ 13.41 x 0.6

⇒ 8.166

Thus, The value of the expression will be 8.166.

Learn more about the expression visit:

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6 0

1 year ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

What is the slope of the line that passes through the points (2.-4 and (2,4)

Vadim26 [7]

Answer:Undefined

Step-by-step explanation:

4 0

3 years ago

Is this true or false?<br><br> w(5)=w(-5)

attashe74 [19]

Answer:

<h2><u><em>False</em></u></h2>

Step-by-step explanation:

Is this true or false:

w(5)=w(-5)

we give the value 1 to w to keep it simple

1 ( 5 ) = 1 (-5 )

5 = -5

<em>It's false</em>

8 0

3 years ago

The steps below show the incomplete solution to find the value of m for the equation 5m − 2m + 4 = −1 + 12: Step 1: 5m − 2m + 3

Delicious77 [7]

Given:

Consider the equation is:

$5m-2m+3=-1+12$

Some steps of the solution are given.

To find:

The next step of the solution.

Solution:

Step 1: The given equation is:

$5m-2m+3=-1+12$

Step 2: Simplifying right hand side.

$5m-2m+3=11$

Step 3: Simplifying left hand side.

$3m+3=11$

These steps are already given. So, the next step is:

Step 4: Subtracting 3 from both sides.

$3m=8$

Therefore, the correct option is (b).

8 0

2 years ago

Find the perimeter of 8cm, 5cm, 7cm, 10cm