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2 years ago

OAB is a sector of a circle with centre O and radius 8 cm.

Mathematics

1 answer:

max2010maxim [7]2 years ago

4 0

Answer:

The perimeter of the sector is :30.5 cm

Step-by-step explanation:

Mathematically, we have the area of the sector as;

e/360 * pi * r^2

r is 8 cm

so we have

58 = e/360 * pi * 8^2

58/64 * 360/pi = e

e = 103.85

To get the perimeter,

we have length of the arc plus 2r

Length of the arc is;

e/360 * 2 * pi * r

add 2 r;

e/360 * 2 * pi * r + 2r

so we have

103.85/360 * 2 * pi * 8 + 2(8)

= 14.5 + 16

= 30.5 cm

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David’s bowling score is 5 less than 3 times Aaron’s score. The sum of their score is 215. Find the score of each student. Write

xenn [34]

Answer:

David's score= 160 ; Aaron's score = 55

Step-by-step explanation:

let Aaron's score be 'x'.

so, David's score will be 3x - 5

(3x - 5) + x = 215

3x + x - 5 = 215

4x = 215 + 5

4x = 220

x = 220/4

x = 55

therefore, Aaron's score = 55

David's score is (3x - 5) = (3*55) - 5 = 165 - 5 = 160

8 0

2 years ago

Order of operations 5-2(5-27)+5

Artist 52 [7]

The answer to your question would be 54

Work Shown:

5-2(5-27+5

Calculate with parenthesis (5-27): -22

5-2(-22)+5

Multiply and divide (left to right) 2(-22): -44

5-(-44)+5

Add and subtract (left to right) 5-(-44)+5

54

3 0

1 year ago

The domain of this function is {-12,-6,3,15}. Y=-2/3x+7

Evgen [1.6K]

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

<h3>Which is the function?</h3>

The function is defined by:

$y = -\frac{2}{3}x + 7$

Hence, when x = -12:

$y = -\frac{2}{3}(-12) + 7 = 15$

When x = -6:

$y = -\frac{2}{3}(-6) + 7 = 11$

When x = 3:

$y = -\frac{2}{3}(3) + 7 = 5$

When x = 15:

$y = -\frac{2}{3}(15) + 7 = -3$

More can be learned about functions at brainly.com/question/25537936

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1 year ago

I need help with 4 and 5 what are the answers?

ira [324]

Answer:

4. U = 54

5. C=80

Step-by-step explanation:

Basically you move the denominator to the other side and multiply. please take note of the signs(positve, negative)

7 0

2 years ago

|0.7x+5|>6.7 Help plz

Pavlova-9 [17]

Answer:

$\large\boxed{x\dfrac{17}{7}}\\\downarrow\\\boxed{x\in\left(-\infty,\ -\dfrac{117}{7}\right)\ \cup\ \left(\dfrac{17}{7};\ \infty\right)}$

Step-by-step explanation:

$|0.7x+5|>6.7\iff0.7x+5>6.7\ or\ 0.7x+56.7\qquad\text{subtract 5 from both sides}\\0.7x>1.7\qquad\text{divide both sides by 0.7}\\x>\dfrac{1.7}{0.7}\to x>\dfrac{17}{7}\\\\(2)\\0.7x+5$

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2 years ago