in a regular polygon, the measure of each interior angle is 108° . How many sides does the polygon have? the polygon has _____ sides

Answer:

3t+8

Step-by-step explanation:

Answer:

3t + 8

Step-by-step explanation:

Let the number be represented by

t

Now Interpreting the statement;

Three times a number;

3 × t

3t

Increased by eight;

3t+8

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Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

m<8=1024

Step-by-step explanation:

Since they are asking for m<8, we do 128*8=1024.

Answer:

this is to hard and I like math

Answer:

can we get a picture

Step-by-step explanation:

Answer: 14.4/2

Step-by-step explanation: to find the average time, we add both numbers then divide by how many numbers we have, which is two. So 7.5 + 6.9 = 14.4. we then divide by 2, so 14.4/2.

The first step is to express each number in terms of its prime factors

Therefore,

68 = 2 * 2 * 17

170 = 2 * 5 * 17

153 = 3 * 3 * 17

We can see that the only factor that is common to the three numbers is 17

Therefore,

Highest common factor = 17

Answer:

mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Answer:

First calculate the 6% of 28900

6 x 28900/ 100= $ 1734

now because IS NOT compound interest then multiply by 2 the result

2x $1734 = $3468

Answer:

Rational because it's a whole number

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have a good day :)

Step-by-step explanation:

The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Step-by-step explanation:

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

Mean=78.16666666666667‬ or 78.17 rounded

Median=  80.5

Step-by-step explanation:

Mean=add all up and divided by amount of numbers

median= order numbers from smallest to biggest and find the middle

\(\huge\text{Hey there!}\)

\(\large\textbf{Equation: }\)

\(\large\textsf{(3x)(4x)}\)

\(\large\textbf{Solving:}\)

\(\large\textsf{(3x)(4x)}\)

\(\large\textsf{= 3x} * \large\textsf{4x}\)

\(\large\textbf{Combine the like terms:}\)

\(\large\textsf{(3x * 4x)}\)

\(\large\textsf{= 3x * 4x}\)

\(\large\textsf{= 12x}^2\)

\(\large\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{Option\ D. 12\mathsf{x}^2}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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The correct statement is A) the graph will have a y-intercept at (0, 64.8).

The correct statement about the graph of the exponential function is:

A) The graph will have a y-intercept at (0, 64.8).

In the given function f(x) = 64.8(1.2)^z, where x represents the number of years since 2010, the value of f(x) represents the number of people using smartphones in millions. When x = 0, which corresponds to the year 2010, the function evaluates to:

f(0) = 64.8(1.2)^0

f(0) = 64.8(1)

f(0) = 64.8

This means that when x is 0, the number of people using smartphones is 64.8 million. Therefore, the graph of the exponential function intersects the y-axis at the point (0, 64.8), which corresponds to the y-intercept.

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The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

The correct answer is A) (4 x 3) x 2 and 4 x (3 x 2)

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

\(y\:\alpha \:x\\y=kx\)

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion \(y=kx\)

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

122.30 cm²

Step-by-step explanation:

Divide the polyhedron into shapes:

+) 2 triangles with the same area.

The area of the triangle is
(4.3×11)÷2 = 23.65 cm².
And with two triangles of the same area we take the sum of both areas
23.65 + 23.65 = 47.3 cm²

+) 3 rectangles with different areas.

(3×6) + (3×8) + (3×11) = 75 cm²

So the surface area is the sum of areas of the triangles and rectangles

47.3 + 75 = 122.3 = 122.30 cm²

Answer:

p O H = 2.35

Step-by-step explanation:

Answer: choice A

Step-by-step explanation:

the transposed matrix would be

5 3

2 -1

so

5*5+2*2=29

3*5+2*-1=13

5*3-2*-1=13

3*3+-1*-1=10

which gives us the answer

29 13

13 10

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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