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timurjin [86]
3 years ago
10

WILL GIVE BRAINLIEST ANSWER! A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 33m wide. F

ind the area of the sidewalk in square meters. Use 3.14 for piπ.
Mathematics
1 answer:
Alina [70]3 years ago
5 0

Answer:

The area of the sidewalk is 144.44 m².

The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.

Since the radius is half the diameter, r = 25/2 = 12.5.

The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².

The diameter of the bed is 21, so the radius is 21/2 = 10.5.

The area of just the flower bed is 3.14(10.5)² = 346.185.

The difference between the two is 490.625-346.185 = 144.44 m².  This is the area of the walkway.

<em>Have a Great Day!</em>

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Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

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2 years ago
Ribbon sells for $3.75 per yard. Find the cost, in dollars, for 48 inches of ribbon.
Leto [7]

Answer:

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if rounding then 5 dollars

Step-by-step explanation:

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Y=f(x+4) graphed help
Inessa [10]

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Step-by-step explanation:

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Solve the linear equation. 8x+32=1/5(25x−15)−4x
Kipish [7]

Answer: x= 5

Step-by-step explanation:

8x+32=1/5(25x−15)−4x

8x + 32 = <u>25x -15</u> - 4x   <u><em>- 25x -15/  5</em></u>

                    5

8x + 32 = 5x -3 - 4x

8x + 4x - 5x = -32 - 3

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x = 35/7

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5 0
3 years ago
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

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Simplifying both sides by 17:

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a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
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