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Varvara68 [4.7K]
3 years ago
15

A figure is made up of 5 identical squares, the area of the figure is 405 squares inches, what is the perimeter

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
The side length of each square is √(405/5) = 9 inches, but the perimeter of the figure depends on how the squares are arranged.

# # #
# # . . . . . . . . will have a perimeter of 90 inches

# # # # # . . . will have a perimeter of 108 inches⊕
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Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =
Semmy [17]

Answer:

The rate of interest for compounded annually is 6.96 %  .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

The amount after 5 years = Rs 6440

Let The rate of interest = R %

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, Rs 6440 = Rs 4600 × (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, \frac{6440}{4600} =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

or, 1.4 =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, (1.4)^{\frac{1}{5}} = 1 + \dfrac{R}{100}

or, 1.0696 =  1 + \dfrac{R}{100}

or, \dfrac{R}{100} = 1.0696 - 1

Or, \dfrac{R}{100} = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 %  .  Answer

5 0
2 years ago
Multiply this expression :: -2/7 • (-3 5/8)​
Helen [10]

Answer: 29/28

Step-by-step explanation:

-2/7 x (-3 5/8)

= -2/7 x -29/8

= 2/7 x 29/8 = 1/7 x 29/4

= 29/28

7 0
2 years ago
PLEASE HELP with the question 7
sergey [27]

Answer:

4.8 miles per hour.

Step-by-step explanation:

12:2.5

2.5/2.5=1

12/2.5=4.8

3 0
2 years ago
(HELP MEH) Why is √​5​​ irrational?
xxTIMURxx [149]

Answer:

  D.)  because it cannot be expressed as a ratio of integers

Step-by-step explanation:

The root of any integer that is not a perfect square is irrational. 5 is not a perfect square, so is irrational—it cannot be expressed as the ratio of integers.

__

<em>Proof</em>

Suppose √5 = p/q, where p and q are mutually prime. Then p² = 5q².

If p is even, then q² must be even. We know that √2 is irrational, so the only way for q² to be even is for q to be even—contradicting our requirement on p and q.

If p is odd, then both p² and q² will be odd. We can say p = 2n+1, and q = 2m+1, so we have ...

  p² = 5q²

  (2n+1)² = 5(2m+1)²

  4n² +4n +1 = 20m² +20m +5

  4n² +4n = 4(4m² +4m +1)

  n(n+1) = (2m+1)²

The expression on the left will be even for any integer n; the expression on the right will be odd for any integer m. This equation cannot be satisfied for any integers m and n, so contradicting our assumption √5 = p/q.

We have shown using "proof by contradiction" that √5 cannot be the ratio of integers.

4 0
3 years ago
Ik that no one would like to help me with this but my friend is not feeling well today. hes out with a cold today so can yall ma
ruslelena [56]

Answer:

aww yeah sure!

3 0
2 years ago
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