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2 years ago

A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?

Mathematics

1 answer:

Alenkinab [10]2 years ago

7 0

Answer:

The chain is around 11 feet in length.

Step-by-step explanation:

Area of a circle = π × r²

380 ft² = π × r²

121 ft² = r²

11 ft = r

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your plant runs two assembly line line a produces 427 units per hour and line b produces 519 units per hour how many more units

Juli2301 [7.4K]

Line b produces 92 more units per hour

3 0

2 years ago

Read 2 more answers

Points Pand Q lie in plane A. How many lines contain P

jeka94

Answer:

The correct answer is :

1. Line PQ (One line PQ).

Step-by-step explanation:

The first step to solve this question is to draw the plane A with the points P and Q lying on it.

We know that given two different points there is only one line that contains this two different points.

Let's analyze each option.

''2. Lines PQ and QP''

This option is wrong because there aren't two different lines. In fact it is only one line that can be named line PQ or line QP.

''3. The 2 lines PQ and QP plus another line that does not lie in plane A.''

This option is assuming that exist three lines that contain P and Q. This option is also wrong.

''1. Line PQ''

This option is correct. It will be clarify with the drawing I will attach.

''We can't name them all!''

This option is assuming that exist infinite lines that contain P and Q. This option is wrong.

In the drawing I call the line that contains P and Q as line L.

Given that P and Q lie in plane A necessarily the line L must lie on the plane A.

8 0

3 years ago

Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of cour

Anna11 [10]

Since it's a multiple of 24, it has to be a multiple of the factors of 24.

Factors of 24:
2,3,4,6,8,12

You can use some of this knowledge to help create the number.
Since the # needs to be a multiple off 2, the last digit needs to be an 8

All numbers that are multiples of 3 have the property that all of their digits added together have to be a number that is evenly divisible by 3.

so your number will look like:
_ _ _ _ _ 8

so start trying combinations for the other 5 digits that give you a number that is a multiple of 3: 3,6,9,12,15, ect. If you can't find one, then it's impossible

5 0

2 years ago

I need 3 questions answered please.

kakasveta [241]

Answer:

$3) \: \: 113 {ft}^{2}$

$4) \: false$

$5) \: 70 {ft}^{2}$

Step-by-step explanation:

3) Area of a circle is

$\pi \times {r}^{2}$

Where r = 6

Thus,

$area = \frac{22}{7} \times {6}^{2}$

$area = \frac{22}{7} \times 36$

$area = 3.143 \times 36$

$area = 113 {ft}^{2} \: (nearest \: whole \: number)$

4) False

Area of a circle is measured by the formula below:

$area = \pi \times {r}^{2}$

5) The formula for calculating the area of a rectangle is given thus:

$area \: of \: a \: rectangle = l \times w$

Where, l = 10ft; w = 7ft

$area = 10ft \times 7ft = 70 {ft}^{2}$

8 0

3 years ago

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?

emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which represents by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.
The response variable calories is the output.

The equation is:

$y = 121 + 1.42x$

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0

2 years ago