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postnew [5]
3 years ago
5

A donut machine makes small glaze donuts the diameter of each doughnut is 8 cm. What is the circumference of each doughnut creat

ed ?Round to the nearest hundredth.
Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer:

50.29 cm

Step-by-step explanation:

Given:

Diameter of each doughnut = 8 cm

To find: circumference of each doughnut

Solution:

Circumference refers to the boundary of a geometric figure.

A doughnut has the shape of a circle.

Let r represents the radius of the circle.

Diameter of each doughnut = 8 cm

Radius of each doughnut (r) = Diameter/2

=\frac{8}{2}\\ =4 \,\,cm

Circumference of each doughnut =\pi r^2\\

Put r=4\,\,,\pi=\frac{22}{7}

So, circumference = =\frac{22}{7} (4)^2

=\frac{352}{7} \,\,cm\\=50.29\,\,cm

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31.20 is 65 percent of 48 so 100-65=35. the answer is 35%
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3 years ago
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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

this means that 2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

also we know that \cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
3 years ago
I have 14 Baseballs in 23 tennis balls and some boxes of baseballs with 12 baseball and I have the equal amount of boxes of tenn
katovenus [111]

Answer:

The answer is below

Step-by-step explanation:

I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls

Solution:

Let n represent the number of boxes of each type.

Given, the number of boxes of tennis = number of boxes of baseball, hence:

n = number of boxes of tennis = number of boxes of baseball.

Already I have 14 baseball and I bought boxes of baseballs with 12 baseball to a box, therefore:

Number of baseballs = 14 + 12n

I have 23 tennis ball and I bought boxes of tennis balls with 16 baseball to a box, therefore:

Number of tennis balls = 23 + 16n

Total number of balls = number of baseballs + number of tennis balls

Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n

Total number of balls = 37 + 28n

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2 years ago
Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Pl
GuDViN [60]

Answer:

A

Step-by-step explanation:

We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.

8 0
2 years ago
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10x = 6x+36

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3 years ago
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