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tatyana61 [14]
3 years ago
11

The diameter of a circle is 14in. Find its area in terms of pie(urgent)

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

The area of a circle is equal to:

\pi \times {r}^{2}

r = 1/2 the diameter

1/2 of 14 is 7

7 squared is 49

<em><u>The area is 49π</u></em>

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SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
Sloan [31]

ANSWER

P-G = 11{w}^{4} - 5 {w}^{2}  {z}^{2}   - 4z^{4}

EXPLANATION

The given polynomials are:

G =  - 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4}

and

P = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}

We want to subtract these two polynomials.

P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}  - (- 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4} )

Expand the right hand side to obtain:

P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}   + 3 {w}^{4}   -  2 {w}^{2}  {z}^{2}   -  5z^{4}

Group the similar terms:

P-G = 8 {w}^{4}  + 3 {w}^{4}- 3{w}^{2}  {z}^{2} -  2 {w}^{2}  {z}^{2}   -  5z^{4} + z^{4}

Combine the similar terms to get:

P-G = 11{w}^{4} - 5 {w}^{2}  {z}^{2}   - 4z^{4}

7 0
3 years ago
Express the terms of the following sequence by giving a recursive formula.
emmasim [6.3K]

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Step-by-step explanation:

First of all, we have to determine if the given sequence  is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7

Hence,

The recursive formula for given sequence is: a_n = a_{n-1}-7

And the terms will be expressed as:

a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
4 years ago
LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
4 years ago
Read 2 more answers
BRAINLIST!!! The area of Alex's room is 168 square feet. If his room is a rectangle and one side is 12 feet, how long is the oth
Cloud [144]

Answer:

the missing length is 14 feet.

Step-by-step explanation:

a = L × W

168ft² = 12 × W     - divide both sides of the equation by 12

                             - 168 ÷ 12 = 14

168ft² = 12 × 14

6 0
3 years ago
Please help!!!
WINSTONCH [101]

Answer:

14

Step-by-step explanation:

2(l+b)

2(3+4)

2(7) now do multiply

answer 14m

6 0
3 years ago
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