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3 years ago

A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for mc015-1.jpg

2 answers:

7 0

Since the formula for circumference is pi*diameter, you multiply 3.14 by 622 mm to get 1953.08 mm as your circumference.

gtnhenbr [62]3 years ago

5 0

Answer: 1953.08 mm

Step-by-step explanation:

We know that circumference of a circle is given by ;-

$\text{Circumference}=2\pi r$ , where r is the radius of the circle.

Given: the diameter of the wheel = 622 mm

Then, the radius of the wheel = $\dfrac{622}{2}=311\ mm$

Now, the circumference of the wheel is given by ;-

$\text{Circumference}=2\pi (311)\\\\\Rightarrow\ \text{Circumference}=2(3.14)(311)\\\\\Rightarrow\ \text{Circumference}=1953.08\ mm$

Hence, the circumference of the wheel = 1953.08 mm.

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Answer:

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Step-by-step explanation:

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2 years ago

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assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. find the

drek231 [11]

Answer:

65.3658 inches

Step-by-step explanation:

Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value $x_{0}$ such that $P(X < x_{0}) = 0.76$ , but, $0.76 = P(X < x_{0}) = P((X-63.6)/2.5 < (x_{0}-63.6)/2.5) = P(Z < (x_{0}-63.6)/2.5)$ , i.e., $(x_{0}-63.6)/2.5$ is the 76th percentile of the standard normal distribution. So, $(x_{0}-63.6)/2.5 = 0.7063$ , $x_{0} =63.6+(2.5)(0.7063) = 65.3658$ . Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.

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3 years ago

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Lina20 [59]

first subtract the last equation from the first. this gives:-

-x + y = -8 .....................(1)

Then multiply the first equation by 2 and add it to the 2nd equations This gives

9x = 18

so x = 2

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Substituting for x and y in the second equation

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2 years ago

Find the area of the figure. Round to the nearest hundredth when necessary.

Delvig [45]

Answer:

215.20 ft^2

Step-by-step explanation:

The figure has 2 semi-circles.

First we find the area of each circle using the formula $\pi r^{2}$ because that is the area formula for a circle.

The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.

Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.

Left: r=11

Right: r=4

Then, plugging both into the formula for area of a circle, we get

Left: 380.1327

Right: 50.26548

We must divide each by two because we are only looking for semi-circle which is exactly half the area of a full circle.

Then,

Left: 190.066

Right: 25.1327

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3 years ago

This diagram shows a sector of a circle radius 11cm

denis-greek [22]

Step-by-step explanation:

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1 year ago