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spayn [35]
3 years ago
8

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. E

xplain all steps and identify the properties used. n/-3 + 5 > 4
Heres what i did i just want to check my answer
n/-3 + 5 > 4.
subtract 5 from both side:
n/-3 > -1.
Multiply both sides by -3 and reverse Inequality sign
n < 3.
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

Answer:

Your answer is correct

Step-by-step explanation:

Indeed subtracting 5 from both sides would be n/-3> -1

Multiplying both sides by -3 would give you n < 3 (obviously after reversing the inequality sign)

Triss [41]3 years ago
7 0

Answer:

n

Step-by-step explanation:

We have been given an inequality \frac{n}{-3}+5>4. We are asked to solve the given inequality by explaining all the steps.

First of all, we will subtract 5 from both sides of inequality using subtraction property of inequality as:

\frac{n}{-3}+5-5>4-5

\frac{n}{-3}>-1

To solve for n, we will multiply both sides of inequality by -3. We need to remember that when we multiply or divide an inequality by a negative number, the sign of inequality reverses.

\frac{n}{-3}\cdot (-3)

n

Therefore, the solution of our given inequality would be n.

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What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n
mr Goodwill [35]

Answer:

f(n)=(-2)(n-1)

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: f(n)=(-2)(n-1) Because the n^{th} term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

\\f(n)=3(-2)^{n-1}

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

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Answer:

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Step-by-step explanation:

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