unit 10 circles homework 9 standard form of a circle all things algebra

The total cost for five years of her rent is less than she buys the townhome. Then the correct option is C.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Marquet is relocating to an area where she will be attending college.

She finds a townhome with an option to rent or buy.

The conditions of each are shown below.

rent: move-in cost of $1,350 and monthly payment of $795.

buy: move-in cost of $8,235 and monthly payments of $750.

Marquet plans to stay in the area for the 5 years it will take her to get a graduate degree, so she decides to buy.

The total cost for five years when she rents.

→ 1350 + 795 × 12 × 5

→ $49,050

The total cost for five years when she buys.

→ 8235 + 750 × 12 × 5

→ $53,235

She made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 years period.

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Answer:

c. she made a poor decision if the property value does not increase. renting the townhome would be cheaper over the 5 year period.

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

The indicated angles are same side exterior angles since located on the same side of the transversal and exterior to parallel lines.

Same side exterior angles are supplementary, so their sum is 180.

Solve the following equation for x

Angles are supplementary as they are same side exterior angles

Answer:

first, we need to know the gradient of the line, 2x+3y=15

Gradient of the line is -2/3

from 3y=-2x+15

Y=-2x/3+5

Step-by-step explanation:

new gradient will be 3/2 since the initial gradient is perpendicular to the new one

therefore, considering the general equation of the line, y-y1=m(x-x1)

where y1=3 and x1=1

we can therefore substitute in the values into the above equation

so, y-3=3/2(x-1)

y-3=3x/2-3/2

2y-6=3x-3

2y-3x=-3+6

2y-3x=3

therefore, the equation of the line perpendicular to line 2x+3y=15 is 3x-2y=-3

Answer:

  C

Step-by-step explanation:

The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.

__

  A(x) = x²

  A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____

Additional comment

The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.

The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)

A function that represents the number of minutes it takes to deliver x newspapers is y = 12 + 2x/3.

The function that represents the number of minutes it takes to deliver x newspapers is: total minutes = time it takes to orgainse the newspapers + time it takes to deliver x newspapers

Time it takes to orgainse the newspapers = 12 minutes

Time it takes to deliver x newspapers = 2x / 3

y = 12 + 2x/3

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I dont know how to delete a answer and i got it wrong apparently so sorry

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

Answer:

Day 1

4 times

8 mins

1 time

0 times

1 time

0 times ( I never use it)

Day 2

2 times

5.30 mins

0 times

2 times

0 times

0 times

Day 3

5 times

0 mins

0 times

2 times

1 time

0 times

Step-by-step explanation:

Hope it helped you

Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

More can be learned about standard deviation at https://brainly.com/question/24754716

Answer:

SAS

Step-by-step explanation:

AB congruent to MN

Angle B congruent to Angle N

BC congruent to NP

Check both triangles

So

Two sides are equal and their corresponding angles are equal

Answer:

Option A

Step-by-step explanation:

Step 1:  Compare the sides

We can see that it was rotated in a way where Y is similar to R, X is similar to Q, and Z is similar to S.

[tex]\frac{SQ}{XZ }\neq \frac{QR}{XY} \neq \frac{RS}{YZ}[/tex]

[tex]\frac{0.5}{1}\neq \frac{1}{1.5}\neq \frac{1.5}{2}[/tex]

[tex]0.5\neq 0.6667\neq 0.75[/tex]

Answer:  Option A

Answer:

j = 0.13333333333

j = 4/30

just divide both sides by 5 my friend

Answer:

Simplify the following:

m + m + m + m + m + m - m + m - m

m + m + m + m + m + m - m + m - m = 5 m:

Answer: 5 m

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

Answer:

45 + (30*6)

Step-by-step explanation:

Answer:

20.25 × pi cm²

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius.

in our case

9×pi = 2×pi×r

9 = 2r

r = 9/2 = 4.5 cm

the area of a circle is

pi×r²

in our case that is

pi×(4.5)² = 20.25 × pi cm²

Answer:

2: 142.5

3: 42

Step-by-step explanation:

Remark

Problem 2

The diagonals of a kite meet at right angles. They also bisect each other. So the two triangles on the left and right side of the kite are congruent.

Because the smaller diagonal is bisected, you need only find the area of 1 of the triangles and double it.

1/2 of the smaller diagonal is the altitude of the triangle. The base is the other larger diagonal.

Solution

Area of the left triangle

Givens

altitude = 7.5

Base = 14 + 5 = 19

formula

Area = 1/2 * B * h

Solution

Area = 1/2 * 19 * 7.5

Area = 71.25

But there are 2 such triangles

Area of both = 71.25 * 2 = 142.5

Answer: A

Problem 3

Remark

The way they have given you the problem, you could be easily fooled. The 2 does not help you at all.

A parallelogram has an area of B * h. Those are the two numbers you use.

Givens

Base = 6

height = 7

Formula

Area = B * h

Solution

Area = 6*7

Area = 42

Answer: Area = 42m^2

Answer:

138

Step-by-step explanation:

According to PEMDAS (explains which operation you do first)

(Parentheses

Exponents

Multiplication or Division

Addition or Subtraction),

1. multiplication comes before addition

2. Even if it was 89+7x7, it would still be 7x7 first.

3. 7x7=49. Add it to 89 and you get 138

Answer:

1302

Step-by-step explanation:

Answer:

the answer to this is D. 2006

Answer:

It really depends if there is more work with this, but of it is just p to the power of two. it would be p².

Answer: 0.066, or a 6.6% Statistical Probability.

Step-by-step explanation:

When dealing with Statistical Probability, you are attempting to find the theoretical chance of an action occuring.

With the two actions described, one being a wheel with five set outcomes, and a dice with six set outcomes, you can find the probability of random numbers/outcomes by taking

[tex]\frac{1}{6} \\and\\\frac{1}{5}[/tex]

1/6 being number cube, 1-2-3-4-5-6

and

1/5 being spinner. A-B-C-D-E

In the Event, (made up by actions), it is described that The Cube AND Spinner are rolled and spun at random.

Also, The description asks: what is the probability of landing on B and rolling an even number?

So, the 1/6 chance of the dice becomes 1/3, or .33 or 33%.

And, the 1/5 chance for the spinner stays the same, because it is a single unit. So, probability of landing on B is still 1/5, or .2 or 20%.

When two actions are present in an Event, you are to procedurally multiply the outcomes by the decimal percentage, fraction, or actual percentage, to find the chance of occurence.

In this scenario, I used .2 x .33 and got 0.066

Which, equals 6.6%

I found this by multiplying the decimal percentage by 100, to scale the chance on a 100/100 based scale. In this case, the multiplier on the numerator is .066 ... creating 6.6/100, or .066 or 6.6%

Hope this Helped!

Applying the law of cosines, the measure of angle Y in the image below, to the nearest whole degree, is: B. 64°

Law of cosines is given as: y² = x² + z² – 2xz(cosY)

Given the following:

x = 12

y = 16

z = 17

Y = ?

Apply the law of cosines:

16² = 12² + 17² – 2(12)(17)(cosY)

256 = 433 - 408(cos Y)

256 - 433 = -408(cos Y)

-177 = -408(cos Y)

-177/-408 = cos Y

Y = cos^(-1)(177/408)

Y ≈ 64°

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Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

Answer:

$250

Step-by-step explanation:

50+100n= 50+100(2)= 50+200=250

Sincerest Apologies if this is incorrect

The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.

It is defined as the tax rate applied on the solely earned money by a single entity.

Algeria has a workforce of 9,416,534

Each entity average annual salary = $6,844

The raise in tax revenue = $ 9 bilion

To find the income tax rate we must find the total income of the workforce,

= 9,416,534×6844

= $64.45 billion

Now for income tax:

[tex]\rm = \frac{Tax \ revenue}{Total \ income}[/tex]

[tex]=\rm \frac{9 \ billion}{64.45 \ billion}\times 100[/tex]

≈ 14 %

Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.

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Answer: You d u m b. -3/4

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

72=2*2*2*3*3

96=2*2*2*2*2*3

Hcf=2*2*2*3=24#

Answer:

17.4 ft²

Step-by-step explanation:

The formula to find the area of a triangle:

1/2 x b x h, where b is the base and h is the height.

1) Substitute the given values into the formula and solve it.

= 1/2 x 6 x 5.8

= 1/2 x 34.8

= 17.4

Answer:

Area= 17.4 ft²

Step-by-step explanation:

The formula of the area of any triangle is given by: A = [tex]\frac{b*h}{2}[/tex]

where A: area of the triangle

           b: base of the triangle

           h: height of the triangle

in this figure we have:

b= 6ft

h= 5.8ft

A= [tex]\frac{6 * 5.8}{2}[/tex] = [tex]\frac{34.8}{2}[/tex]=17.4 ft²

HOPE THIS HELPS :)

Answer:$11

Step-by-step explanation: 50c - 300= 250

Add 300 to both sides

Divide both sides by 50