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3 years ago

The diameter of a circle is 6 m. Find its area in terms of π π.

Mathematics

2 answers:

gavmur [86]3 years ago

7 0

Area of circle = πr ²
Radius is half on diameter =6/2=3m
π(3²)=9πm²

Xelga [282]3 years ago

4 0

Step-by-step explanation:

this is totally simple.

the formula for the area of a circle (as you can find with any search on the internet in seconds) :

A = pi×r²

r is the radius.

and once you understand even the most basics of a circle, you know that the radius is half of the diameter.

so, in our case, r = 6/2 = 3 m

the area of the circle is therefore

pi×r² = pi×3² = pi×9 m²

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What is the lcm of 56 and 136

Citrus2011 [14]

Answer:

$LCM(56,136)=952$

Step-by-step explanation:

To find the LCM of two numbers, factorize both these numbers:

$56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17$

These two numbers have the common factor of $2^3.$

Now multiply this common factor by the remaining factors:

$LCM(56,136)=2^3 \cdot 7\cdot 17=952$

Therefore, the LCM is 952.

8 0

3 years ago

What is the linear function equation that best fits the data set?

slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

8 0

3 years ago

HELP ASAP! The number of entertainment websites in 1995 wass 54. By 2004 there were 793 entertainment website..

AleksandrR [38]

<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...

In a more written out way, the steps would be

slope = rise/run

slope = (y2-y1)/(x2-x1)

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

3 0

3 years ago

Quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm. Which could be the side lengths of a dilation of HIJK wit

matrenka [14]

Answer:

Step-by-step explanation:

The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.

When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:

12 X 1.5 =18 cm

26 X 1.5 =39 cm

14 X 1.5 =21 cm

30 X 1.5 =45 cm

A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:

18cm, 39cm, 21cm and 45cm.

<u>The correct option is C.</u>

6 0

3 years ago

Hey can I have some help with this I am very confused

aniked [119]

m<5=40°

Reason-Its Given

m<2=140

Reason-Given

<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.

<5 and 2 are same side interior angles (Clearly shown on diagram .

We can call them co responding interior angles and their sum will be 180 if lines are parallel

a||b

Let's verify

Let the angle below <1 be <3

Now

<2+<3=180

<5+<4=180

<5=<2

$\\ \sf\longmapsto$

Hence verified

4 0

3 years ago