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stiks02 [169]
4 years ago
10

Center (-11,-10) and radius 8 units

Mathematics
1 answer:
Tju [1.3M]4 years ago
8 0

Answer:-11/j

Step-by-step explanation:

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The area of the regular octagon is approximately 54 cm2. What is the length of line segment AB, rounded to the nearest tenth?
erastova [34]

Answer:

AB = 3.3 cm

Step-by-step explanation:

The formula to find out area of a regular octagon is given by

A=2(1+\sqrt{2})a^{2}

where a is the length of each side of the regular octagon.

Plugin A=54 into the formula

54=2(1+\sqrt{2})a^{2}

Divide both sides by 2

\frac{54}{2} =\frac{2}{2} (1+\sqrt{2})a^{2}

27 = (1+\sqrt{2})a^{2}

Plugin √2 as 1.41

27 = (1+1.41)a^{2}

27 = (2.41)a^{2}

Divide both sides by 2.41

\frac{27}{2.41} = \frac{2.41}{2.41} a^{2}

11.20 = a^{2}

Taking square root on both sides

\sqrt{11.20}  = \sqrt{a^{2}}

a = 3.346

a = 3.3 cm (rounded to nearest tenth)

so, length of side AB = 3.3 cm

6 0
3 years ago
Read 2 more answers
Help me?? i need help.
lilavasa [31]

Answer:

x = r - h

Step-by-step explanation:

When solving for x, we want to get x all by itself on one side of the equals side. It doesn't matter which side.

In this case, we have <em>x</em><em> </em><em>+</em><em> </em><em>h</em><em>.</em><em> </em>Since we want x alone we have to get rid of the h. We can do this by subtracting h from both sides (whatever you do to one side, you have to do to the other side).

r = x + h \\ r - h = x + h - h \\ r - h = x

Therefore, x = r - h.

6 0
3 years ago
Read 2 more answers
A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.
KengaRu [80]
8 pens costs 1.09
1 pen costs 1.09/8=0.13625
7 0
3 years ago
Read 2 more answers
Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an inv
loris [4]

Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

Then;

0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

300 - 0.02a = 290

-0.02a = -10

a = -10/-0.02

x = 500

Thus;

the amount invested in an investment paying 8% interest = $500

the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500

4 0
3 years ago
Suppose you begin a job with an annual salary of $32,900. Each year you are assured of a 5.5% raise. What its the total amount t
murzikaleks [220]

Answer: The correct option is C

Step-by-step explanation:

You begin a job with an annual salary of $32,900

Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.

This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as

Sn = [a(r^n - 1)] / r - 1

Where

Sn = sum of the nth terms of the series

a = the first term(salary of the first year

r = common ratio

n = number of years.

From the question,

a = 32900

n = 15

r = 105.5/100 = 1.055

S15 = [32900(1.055^15 - 1)] / 1.055 - 1

S15 = [32900(2.23247649224 - 1)] / 0.055

S15 = [32900 × 1.23247649224] / 0.055

S15 = $737245

7 0
3 years ago
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