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3 years ago

What is the radius and diameter of the following circle?

Mathematics

1 answer:

belka [17]3 years ago

6 0

Answer:

Radius = 5.1

Diameter = 10.2

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes from the center to the outside of the circle, so it is the radius

You might be interested in

Can a remainder in a division problem equal the divisor

Rufina [12.5K]

Well the answer is No.A remainder will always be smaller than the divisor ,because the divisor is the one that used to divide the dividend and the remaining number that cannot be divided by the divisor is called the remainder.
Questions?

6 0

3 years ago

Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane

liraira [26]

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

Answer:

$Rate = 0.935042^\circ /cm$

Step-by-step explanation:

Given

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

$T(x,y) =x\sin2y$

$r = 1m$

$v = 2m/s$

Express the given point P as a unit tangent vector:

$P = (\frac{1}{2}, \frac{\sqrt 3}{2})$

$u = \frac{\sqrt 3}{2}i - \frac{1}{2}j$

Next, find the gradient of P and T using: $\triangle T = \nabla T * u$

Where

$\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j$

So: the gradient becomes:

$\triangle T = \nabla T * u$

$\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j]$

By vector multiplication, we have:

$\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}$

$\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)$

$\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5$

$\triangle T = 0.935042$

Hence, the rate is:

$Rate = \triangle T = 0.935042^\circ /cm$

3 0

2 years ago

The world's smallest plane has a length of 12 feet and the world's longest plane has a length of 302 feet. Write an absolute val

iren [92.7K]

An absolute value equation which could represent the length of a plane is : 12 feets ≥ x ≤ 302 feets

Smallest length of a plane = 12 feets

Longest length of a plane = 302 feets

This means that the minimum length of a plane cannot be below 12 feets and the maximum length of a plane cannot be above 302 feets

Using x as the length of a plane :

To represent as an absolute value ; we use inequality :

Minimum length ≥ x ≤ maximum length

12 feets ≥ x ≤ 302 feets .

Learn more : brainly.com/question/18109354

8 0

2 years ago

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo

BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is n = 120

The mean of the proportion is p = 0.09

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p(1-p)}{n} }$