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denis23 [38]
4 years ago
9

What is the radius? Esther & jim plan to add a pond to there property. the area of the pond is 11 square meters. A) 3 B)√3 C

)5/2 D)√7/2
Mathematics
1 answer:
Maslowich4 years ago
8 0
Radius is the line drawn from the direct center of a circle to the outer edge

assuming the pond is a circle
area=pi times radius^2
area=11
11=pi times radius^2
aprox pi to 3.14
11=3.14 times radius^2
divide both sides by 3.14
3.503=radius^2

square root both sides
√3.5=radius which is also √5/2 or C

the answer is C
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(10)sin(40°) = AC

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3 years ago
- Write a recursive formula to represent the sequence below.<br> (3,7, 11, 15, 19,23,27,31,35, ...)
NemiM [27]

<em><u>The recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n  = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

a_n =a_1+(n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

a_1=3

Substitute in above formula,

a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1

<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n = 1, 2, 3, ......

8 0
3 years ago
The photo is kinda blurry but I need help fast
enyata [817]

To find the rate of change find the difference in the Y values for every X value.

From X 1 to X 3 the Y value changes by -10

-10 / 2 = -5.

The rate of change is -5.

The initial value is when X = 0

When X is 1, the Y value is 20, using the rate of change of -5, this means when X is 0, the Y value would be 25.

The answer would be, the initial value is 25, rate of change is -5

3 0
4 years ago
Read 2 more answers
-4x+y=23 and 4x-9y=-15
astra-53 [7]

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1

5 0
3 years ago
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