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2 years ago

If the measure of arc AB is 100 degrees, what is the measure of

Mathematics

1 answer:

ololo11 [35]2 years ago

3 0

The measure of the angle is 50 degrees because it is half the arc that it is enclosed by

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Jordan ran for 12 minutes.

schepotkina [342]

Answer:

1 minute =60second

12x60=720second

6 0

3 years ago

Read 2 more answers

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)

Step :2

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

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

Find the dimensions

$\frac{dA}{dx} = 0$

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

Step 3:-

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

Conclusion:-

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

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

8 0

3 years ago

Mathematics algebra sat

Leya [2.2K]

Hey there!

2(p + 1) + 8(p - 1) = 5p

2(p) + 2(1) + 8(p) + 8(-1) = 5p

2p + 2 + 8p - 8 = 5p

10p - 6 = 5p

SUBTRACT 5p to BOTH SIDES

10p - 6 - 5p = 5p - 5p

SIMPLIFY IT!

5p - 6 = 0

ADD 6 to BOTH SIDES

5p - 6 + 6 = 0 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 0 + 6 because it helps solve for the p-value

5p = 0 + 6

5p = 6

DIVIDE 5 to BOTH SIDES

5p/5 = 6/5

CANCEL out: 5/5 because it gives you 1

KEEP: 6/5 because gives you the result of the p-value

SIMPLIFY IT!

p = 6/5

Therefore, your answer is: p = 6/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8 0

2 years ago

Read 2 more answers

$18.39 is what percent of $329.64?

pickupchik [31]

18.39 is 5.58% of 329.64.

We have to find that 18.39 is what percent of 120?

First, make the assumption that 329.64 is 100% as it is our output value.

We next represent the value we seek with x, therefore

100% = 329.64

And, x% = 18.39

Now, we get pair of simple equations

100% = 329.64 ........(1)

x% = 18.39 ........(2)

Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);

100% / x% = 329.64 / 18.39

Taking the reciprocal of both sides, we get

x% / 100% = 18.39 / 329.64

or x = 5.58%

Hence, 18.39 is 5.58% of 329.64.

To learn more about percentages, visit: brainly.com/question/14319057

#SPJ9

6 0

2 years ago

Find the area of this figure. A= cm2

soldier1979 [14.2K]

Answer:

area of rectangle=7×5=35cm²

area of triangle=1/2×4×3=6cm²

Step-by-step explanation:

area of figure=35+6=41 cm²

7 0

3 years ago