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3 years ago

Need help solving. (No Links Please)

Mathematics

2 answers:

Naily [24]3 years ago

8 0

To find this, you will take the area of a circle minus area of a square.

Area of a circle: pi• r^2

R is the radius. The radius is half of a diameter. Divide 11 by 2 to get 5.5.

Keep in mind that the instructions says to use 3.14 instead of the pi button so you will just use that instead of pi.

A = (3.14)(5.5^2)
A= (3.14)(30.25)
A= 94.985

A square has the same side lengths, so you would just multiple 8 by 8 to get 64.

Area of a triangle minus area of a square:
94.985-64

= 30.985 ft^2.

** Area will always be squared.

Airida [17]3 years ago

3 0

Answer:

About 316.13

Step-by-step explanation:

We know:

Diameter (d) = <u>11</u> (of the circle)

Area of the circle: pi(11)^2 = <u>121pi </u>

Side of the square = <u>8 </u>

so area of the square is 8^2 = <u>64</u>

Area of the shaded region:

121pi-64 =316.13

hope this helped

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Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

$\displaystyle \large{r=\frac{a_{n+1}}{a_n}}$

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

Above should be applied for series that have common ratio not equal to 1.

$\displaystyle \large{S_n=a_1 \cdot n}$

Above should be applied for series that have common ratio exactly equal to 1.

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Topics

Sequence & Series — Geometric Series

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Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

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3 years ago

Please help for brainliest answer

melamori03 [73]

Frequency for success is 244
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3 years ago

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

$40x -10x \leq 9,800$

Where $x$ represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so