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gregori [183]
3 years ago
7

a pie chart is divided into four sectors in fig. 12.42. Each sector represents a percentage of the whole. The two larger sectors

are equal and each represents x%. What is the angle subtended by one of those larger sectors ?​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

Angle formed by the sector measuring x% will be 126°.

Step-by-step explanation:

Since, sum of all sectors formed in a circle is 100%.

By adding the measures of all the sectors,

x + x + 21 + 9 = 100

2x + 30 = 100

2x = 70

x = 35%

Now we know sum of all the central angles formed at the center of a circle = 360°

Therefore, angle formed by x% = 360° × 35%

                                                    = \frac{360\times 35}{100}

                                                    = 126°

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A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent
dedylja [7]

Answer:

20%

Step-by-step explanation:

Value increased in 5 years =  £95000 -  £80000 = £5000

Value increase in 1 year  =5000/5 = 1000

Increase % = (1000/5000 ) * 100  = (1/5) *100 = 20%

6 0
3 years ago
jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
FOLLOW DIRECTIONS PLEASE! GIVE ACTUAL ANSWERS PLEASE! WILL MARK BRAINLIEST! MORE QUESTIONS TO COME!
GalinKa [24]

Answer:

A) it is constant

B) x-intercept=2

C) y-intercept=4

D) absolute maximum is positive infinity

E) absolute minimum is negative infinity

8 0
2 years ago
Lenny’s favorite radio station has this schedule:
kirill [66]
Answer: choice C) 19/60

----------------------------------------------------------------------------------------------------

Explanation: 

Add up the minute values: 19+4+37 = 60

We have a total of 60 minutes. Of that total, 19 minutes is dedicated to news.

Divide the two values (19 and 60) to get the fraction 19/60. We can't reduce from here so we leave it like that.
4 0
3 years ago
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the
trasher [3.6K]

Answer:

Mean=685

Variance=36.7

Step-by-step explanation:

The mean of uniform discrete distribution can be expressed as the average of the boundaries

mean=( b+a)/2

The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.

σ²=[(b-a+1)^2 - 1]/12

We were given the wavelength from from 675 to 695 nm which means

a= 675, b= 695

We can now calculate the mean by using the expresion below

mean=( b+a)/2

Mean=( 675 + 695)/2

=685

The variance can be calculated by using the expression below

σ²=[(b-a+1)^2 - 1]/12

σ²=[(695-675+1)^2 -1]/12

σ²=440/12

σ²=36.7

Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively

7 0
3 years ago
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