A 30-sided regular polygon has an angle measure represented as 6g.

Determine the value of g

g = 30
g = 28
g = 180
g = 168

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

\(s=60^{2} h\)

While,

s seconds

h hours.

Answer:

option A is correct

hope it helps

Answer:

Step-by-step explanation:

ꀍꂦᖘꏂ‌  ꓄ꀍꀤꌚ  ꀍꏂ꒒ᖘꌚ  ꌩꂦꀎ

Answer:

this is really possible to solve.

Step-by-step explanation:

5x+29 or 4x+26.....and many more

The coordinates of the image of the dilation are

Dilation 1

The coordinates are given as:

A (5.5, 4.5), B (6, 2), C (3.5, 1.5), D (3, 4)

The scale factor of dilation is

k = 2

This means that we multiply the coordinates by 2.

So, we have:

A (11, 9), B (12, 4), C (7, 3), D (6, 8)

Dilation 2

The coordinates are given as:

A (-12, 24), B (-30, 0), C (-36, 36)

The scale factor of dilation is

k = 1/3

This means that we multiply the coordinates by 1/3.

So, we have:

A (-4, 8), B (-10, 0), C (-12, 12)

Dilation 3

The coordinates are given as:

A (3, -5), B (3, -2.5), C (0, -4), D (0, -2)

The scale factor of dilation is

k = 2

This means that we multiply the coordinates by 2.

So, we have:

A (6, -10), B (6, -5), C (0, -8), D (0, -4)

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After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

1. 3/25

2. 22/25

3. 2/25

4. 7/50

5. 1 6/25

Step-by-step explanation:

Answer:

1.3/25

2.22/25

3.2/25

4.7/50

5.1 6/25

Answer:15/2

Step-by-step explanation:

Answer:

c and d?

Step-by-step explanation:

im not sure if thats right but those are the only 2 numbers that i see beetween the number line

Answer:

A, C, D, E

Step-by-step explanation:

-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8

-9/10 as a decimal is -0.9 so it is too high

-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8

-1/4 as a decimal is -0.25  so it is too high

-2/5 as a decimal is -0.4 so it is between 0.2 and 0.

EDIT: 1/4 is right actually so it's d to.

Answer:

1. -4/7

2. 4/3

3. x^2 + 16x + 63

4. x^2 + 19x + 90

Step-by-step explanation:

1. (1, 8) and (8, 4)

slope = m = (8 - 4)/(1 - 8) = -4/7

2. (2, 4) and (5, 8)

slope = m = (8 - 4)/(5 - 2) = 4/3

3. (x + 9)(x + 7) =

= x^2 + 7x + 9x + 63

= x^2 + 16x + 63

4. (x + 10)(x + 9) =

= x^2 + 9x + 10x + 90

= x^2 + 19x + 90

The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

The system of equations is given as

2x - y + 2z = -6

-3y + z = -2

2x - 3z = -4

Subtract 2x - 3z = -4 from 2x - y + 2z = -6

This is represented as

(2x - y + 2z = -6) - (2x - 3z = -4)

This gives

- y + 5z = -2

Multiply - y + 5z = -2 by 3

-3y + 15z = -6

Subtract -3y + 15z = -6 from -3y + z = -2

This is represented as

(-3y + z = -2) - (-3y + 15z = -6)

This gives

-14z = 4

Divide by -14

z = -2/7

Substitute z = -2/7 in - y + 5z = -2

- y - 5 * 2/7 = -2

This gives

- y - 10/7 = -2

Rewrite as:

y = 2 - 10/7

Evaluate

y = 4/7

Substitute z = -2/7 in 2x - 3z = -4

2x - 3 * 4/7 = -4

This gives

2x - 12/7 = -4

So, we have:

2x = 12/7 - 4

Evaluate

2x = -16/7

Divide by 2

x = -8/7

Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

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Answer:

u · v = - 13

Step-by-step explanation:

dot product of u = 〈3, - 4〉and v =〈- 7, - 2〉

(3î - 4j) • (- 7î - 2j) = - 21 + 8 = -13

-TheUnknownScientist

The dot product of u = 〈3, - 4〉 and v =〈- 7, - 2〉 as u · v = - 13.

The dot product of the two function u and v can be calulated as

u · v = (xî + yj) • (aî + bj)

The dot product of u and v is a scalar because dot product is always a scalar.

The dot product of u = 〈3, - 4〉 and v =〈- 7, - 2〉

u · v = (xî + yj) • (aî + bj)

= (3î - 4j) • (- 7î - 2j)

= - 21 + 8

= -13

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If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.

The rational zero theorem is used to determine the rational roots of a polynomial function.

Rational Zero Theorem statement:-

The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients

f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,

p is a factor of the constant a₀,

q  is a factor of the leading coefficient an,

and p and q are relatively prime.

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Answer:

Step-by-step explanation:

Answer:

  20%

Step-by-step explanation:

You want to know the tax rate if the added tax brings the cost of $45 purchase to a total of $54.

The multiplier applied to a purchase cost to add the tax is ...

   (1 +r)

where r is the tax rate.

Here, that means ...

  45(1 +r) = 54

  1 +r = 54/45 = 1.20

  r = 1.20 -1 = 0.20 = 20%

The tax rate Delia paid on the articles she bought was 20%.

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

D, C, B, A

Step-by-step explanation:

Given the prices below:

Store A: price $99.99 and discount of 15%

15% discount :

Discounted price : (1 - 0.15) * $99.99 = $84.99

Store B: price $95.99 and discount of 12%

12% discount :

Discounted price : (1 - 0.12) * $95.99 = $84.47

Store C: price $90.99 and discount of 10%

10% discount :

Discounted price : (1 - 0.10) * $90.99 = $81.89

Store D: price $89.99 and successive discounts of 5% and 5%

5% discount :

Discounted price : (1 - 0.05) * $89.99 = $85.4905

5% discount :

(1 - 0.05) * $85.4905 = $81.22

Cheapest = store D, then then C, then B, then A

D, C, B, A

Answer:

is D on Edge

Step-by-step explanation:

Answer:

1. Proportion

2. Not Proportion

3. Proportion

4. Proportion

5. Proportion

Step-by-step explanation:

Hope it helps you :))))))

Have a good day

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

11.3 ft

Step-by-step explanation:

\(V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)\)

Since, gravel is in the shape of right circular cone.

\(\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft\)

Answer:

51.256km/hr

Step-by-step explanation:

average speed is equal to the distance over time

Time = 5hr

distance = 256.28 km

speed = 256.28/5

speed =51.256km/hr

Answer:

Where is question

Step-by-step explanation:

Q is a non-negative linear combination of permutation matrices.

A non-negative linear combination of permutation matrices is a matrix P that can be expressed as a linear combination of permutation matrices P1, P2, ..., Pn such that each coefficient in the linear combination is non-negative. This can be expressed as:

\(P = c1P1 + c2P2 + ... + cnPn\)

where c1, c2, ..., cn are all non-negative real numbers. For example, consider the following matrix Q:

\(Q = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{bmatrix}\)

We can express Q as a non-negative linear combination of permutation matrices P1, P2, P3 as follows:

\(Q = \frac{1}{3}\begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{bmatrix} + \frac{1}{3}\begin{bmatrix} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \end{bmatrix} + \frac{1}{3}\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}\)

Therefore, Q is a non-negative linear combination of permutation matrices.

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Answer:

8.302

Step-by-step explanation:

cos(41)x/11

since x is on top then just multiply

cos(41)(11)

x=8.302 round it how u like

Answer:

8.3

Step-by-step explanation:

It has been awhile since I have done this so I may be a bit rusty.

a = (sin(A)⋅b) / sin(B)  =  (sin(49.00∘)⋅11.00)   /  (sin(90.00∘))    =    8.30