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8090 [49]
3 years ago
15

Can the numeric value for the area of a circle ever equal the numeric value for the circumference of the same circle? Explain

Mathematics
1 answer:
Vlad [161]3 years ago
4 0
C=2pr, a=pr^2 

pr^2=2pr 

<span>r=2</span>
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Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
frez [133]

Answer:

30

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

8 0
3 years ago
George bought 6 gallons of gasoine for $20.34.
Kryger [21]

Answer:

Step-by-step explanation:

Divide 20.34 by 6 and you should get 3.39

5 0
3 years ago
Read 2 more answers
Plz help i need help
Brums [2.3K]
A(3,1) B(2,5) C(4,4)
7 0
2 years ago
???????anyone know...
RUDIKE [14]
The answer is:  " 60° " .
__________________________________________________________
     " m∠A = 60° " .
__________________________________________________________
Explanation:
__________________________________________________________

Note:  All triangles, by definition, have 3 (three) sides and 3 (three angles).

The triangle shown (in the "image attached") has three EQUAL side lengths.   Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.

All triangles by, definition, have 3 (three) angles that add up to "180° " .

Since each of the 3 (three) angles is equal;  and the three angles are:  

  "∠A" , "∠B" , and "∠C" ;

We can find the measure of "∠A" ; denoted as:  "m∠A" ; as follows:
______________________________________________________
    m∠A  = 180° ÷ 3 = 60° .
______________________________________________________
The answer is:  " 60° " .
______________________________________________________
   m∠A = " 60° " .
______________________________________________________
7 0
3 years ago
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