All categories

3 years ago

A hula hoop has a three foot diameter how far will it travel in 6 revolution

Mathematics

2 answers:

Tcecarenko [31]3 years ago

8 0

<h2>Answer:</h2>

It will travel 56.52 ft in 6 revolution.

<h2> Explanation:</h2>

We know that Circumference of circle = 2πr

where diameter is already given so by putting it in the formula we get the following result for radius(r)

Diameter = 3 ft

Therefore the radius r = diameter/2 = 3/2 = 1.5 ft

So circumference of loop is:

Circumference = 2πr = 2 * 3.14 * 1.5 = 9.42 ft

We have to find the distance traveled in 6 revolution

As we know that distance traveled in one revolution = 9.42 ft

So distance traveled in 6 revolution = 6 * 9.42 = 56.52 ft

Nesterboy [21]3 years ago

4 0

Answer:

Distance traveled in 6 revolution = 56.52 ft

Step-by-step explanation:

Formula:

Circumference of circle = 2πr

r - Radius of circle

It is given that,

A hula hoop has a three foot diameter.

Diameter = 3 ft

Therefore the radius r = diameter/2 = 3/2 = 1.5 ft

To find the circumference of loop

r = 1.5 ft

Circumference = 2πr = 2 * 3.14 * 1.5 = 9.42 ft

To find the distance traveled in 6 revolution

Distance traveled in one revolution = 9.42 ft

Distance traveled in 6 revolution = 6 * 9.42 = 56.52 ft

You might be interested in

What sides are the triangles?

Solnce55 [7]

Answer:

Step-by-step explanation:

From the picture attached,

In ΔABC and ΔGFE,

AC ≅ EG [Given]

BC ≅ EF [Given]

AB ≅ FG [Given]

By the SSS property of congruence, ΔABC ≅ ΔGFE

The two triangles are related by SSS property of congruence, so the triangles are congruent.

3 0

2 years ago

How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT

Sophie [7]

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

3 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05

Tresset [83]

Answer:

(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .

Step-by-step explanation:

We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.

Let X = Distribution of number of surface flaws in plastic panels

So, X ~ Poisson( $\lambda$ )

The mean of Poisson distribution is given by, E(X) = $\lambda$ = 0.05

which means, X ~ Poisson(0.05)

The probability distribution function of a Poisson random variable is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!}; for x=0,1,2,3...$

Now, we know that $\lambda$ for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.

Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5

(a) Probability that there are no surface flaws in an auto's interior =P(X=0)

P(X = 0) = $\frac{e^{-0.5}*0.5^{0}}{0!}$ = $e^{-0.5}$ = 0.6065

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws = $P(X = 0)^{10}$

So, $P(X = 0)^{10}$ = $0.6065^{10}$ = 0.00673

8 0

3 years ago

What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?

Brut [27]

We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 × X = Y ⇒ first discounted price.

Y - 0.25 × Y = Z ⇒ second discounted price.

Z - 0.15*Z = T ⇒ total discounted price.

X - 0.30 × X = (1 - 0.30) × X = 0.70 × X = Y

Y - 0.25 × Y = (1 - 0.25) × Y = 0.75 × Y = Z

Z - 0.15 × Z = (1 - 0.15) × Z = 0.85 × Z = T

since Z = 0.85 × Y, then 0.85 × Z = 0.85 × 0.75 × Y

since Y = 0.70 × X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X

based on the above, then T = total discount

= 0.85 × 0.75 × 0.70 × X

= 0.44625X

30/25/15 series discount is equivalent to a total discount of 44.625%

7 0

3 years ago

I WILL GIVE BRSINLIEST

Ganezh [65]

I’m not 100% sure, but I believe it’s A and C

6 0

3 years ago

Read 2 more answers