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ohaa [14]
2 years ago
12

All of the quadrilaterals in the shape below are squares. Find the area of the shaded region

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

To find area of square one :-

Given :

  • side = 9 (unit)

To find :

  • Area of square

We know :

Area of square = side²

Therefore:-

→Area of square = 9²

→Area of square = 9 × 9

→Area of square = 81 (unit)²

To find area of square two :-

Given :

  • side = 11 (unit)

To find :

  • Area of square

We know :

Area of square = side²

Therefore:-

→Area of square = 11²

→Area of square = 11 × 11

→Area of square = 121 (unit)²

Now it's clearly visible that the whole figure is also. a square .

Therefore AE = CP

Which means area of square three = 81 (unit)²

Now area of shaded figure :-

  • Area of square one + Area of square two + Area of square three
  • 81 + 81 + 121
  • 283 (unit)²

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One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?
alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^{18}y^{11}  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_{r+1}=^nC_ra^{n-r}b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \\n-r =18 \text{ and }  r=11\\n=m

i.e.

m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29

Hence, the value of m is 29.

7 0
3 years ago
Simplify. logv7 13 + logv7 10 v=base exponent
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4 0
3 years ago
Please help me out!!! :)
alexgriva [62]

Answer:

x = 26°

Step-by-step explanation:

The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller

x = \frac{1}{2} (66° - 14°) = 0.5 × 52° = 26°

8 0
3 years ago
Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which
creativ13 [48]
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36  24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2   36 / 12 is 3  2/3    Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333 
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours
 
 Andrew:
 4 x 6 = 24 
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%

Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage         <span />
4 0
3 years ago
Read 2 more answers
A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compou
SIZIF [17.4K]

Answer:

Option D

Step-by-step explanation:

The compounded interes formula states that:

V(t) = P (1 + r/n)^ (nt)

t = years since initial deposit  = 3

n = number of times compounded per year  1

r = annual interest rate (as a decimal)  = 4% / 100 = 0.04

P = initial (principal) investment = $500

Then V(t) = $500 ( 1 + 0.04/1)^3 = 562,43

So the correct answer is option D.

4 0
3 years ago
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