Each side of a hexagon is 10 inches longer than the previous side. what is the length of the shortest side of this hexagon if its perimeter is 401 inches?

Answer:

a ≈ 4.9

Step-by-step explanation:

using the Cosine Rule in Δ ABC

a² = b² + c² - (2bc cosA )

   = 16² + 18² - (2 × 16 × 18 × cos15° )

   = 256 + 324 - (576cos15° )

   = 580 - 576cos15

   = 23.6267 ( take square root of both sides )

a = [tex]\sqrt{23.6267}[/tex]

   ≈ 4.9 ( to the nearest tenth )

Answer:

H)

Step-by-step explanation:

First, Length XY is 20 centimeters. Since YZ = 3/5 XY, [tex]\frac{3}5\times20=12[/tex]

YZ = 12 + 20 = 32 cm, hence H)

Hope you have a nice day! (Pls mark brainliest)

Answer:

4 ft

Step-by-step explanation:

Area = 30 square ft

base = 7.5 ft

          [tex]\sf \boxed{height \ of \ rectangle = \dfrac{Area}{base}}[/tex]

                                             [tex]\sf =\dfrac{30}{7.5}\\\\=\dfrac{30*10}{7.5*10}\\\\=\dfrac{300}{75}\\\\= 4 ft[/tex]

Answer:

13) 12x=147 14) 13

Step-by-step explanation:

Break even means when they are equal in value I guess.

So 12x=147

To make it worth it to buy the movie pass, 12x>147

x>12 1/4, so at least 13 movies to make it worth it.

Answer:

Y

Step-by-step explanation:

Given equation: f(x) = ∛(x - 2)

Find the y-intercept, [set x = 0]

f(x) = ∛(0 - 2)

f(x) = ∛-2 = -1.26

y-intercept: (0, -1.26)

Find the x-intercept, [set y = 0]

0 = ∛(x - 2)

x - 2 = 0

x = 2

x-intercept: (2, 0)

Graph Y shows this characteristics by passing points (2, 0) and (0, -1.26).

Graph Y shown:

Answer:

x=11, y=2

Step-by-step explanation:

We can set 1 equal to x-5y and then solve for x. and y.

x = 5y+1

y = x-1/5

We can use this information and plug back in the values for 3y-x or x-5y.

We can set -3 = 3y-x or 1 = x-5y.

To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.

We can do a bit of algebra which would get us x = 11.

Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.

y=2

x=11, y=2

Answer:

$2.40

Step-by-step explanation:

$9.60/4 = $2.40

Answer:

Step-by-step explanation:

[tex]\frac{9.60}{4} =$ 2.40[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{5(2x - 8) + 15 = 15}[/tex]

[tex]\huge\textbf{Distribute 5 within the parentheses: }[/tex]

[tex]\mathbf{5(2x) + 5(-8) + 15 = 15}[/tex]

[tex]\mathbf{10x - 40 + 15 = 15}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{10x + (-40 + 15) = 15}[/tex]

[tex]\mathbf{10x - 25 = 15}[/tex]

[tex]\huge\textbf{Add 5 to both sides:}[/tex]

[tex]\mathbf{10x - 25 + 25 = 15 + 25}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{10x = 15 + 25}[/tex]

[tex]\mathbf{10x = 40}[/tex]

[tex]\huge\textbf{Divide 10 to both sides:}[/tex]

[tex]\mathbf{\dfrac{10x}{10} = \dfrac{40}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{40}{10}}[/tex]

[tex]\mathbf{x = 40 \div 10}[/tex]

[tex]\mathbf{x = 4}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 4}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. An observer's line of sight would be below the horizontal.

Step-by-step explanation:

ヾ(＾-＾)ノ

Answer:

Step-by-step explanation:

Answer:

$11.00

Step-by-step explanation:

1. To answer this question, we have to multiply 74.40 by 15%.

2. 15% = 0.15

3. 74.40 x 15 = 11.16

Answer:

Given a map of San Francisco, Las Vegas and Los Angeles on which triangles are drawn.

We find that the distance from Los Angeles to San Francisco is  351 miles.

Step-by-step explanation:

Step 1 of 2

In similar triangles, the corresponding sides are proportional.

We know that the distance between Los Angeles and Las Vegas is 270 miles and on the map it is 1 inches.

We need to form a proportion to find the distance between Los Angeles and San Francisco if on the map it is 1.3 inches.

Let the distance between Los Angeles and San Francisco be x .

[tex]\begin{aligned}&\frac{\text { miles }}{\text { inches }}=\frac{\text { miles }}{\text { inches }} \\&\frac{x \text { Miles }}{1.3 \text { inches }}=\frac{270 \text { Miles }}{\text { linch }} \\&\text { Multiplying both sides by } 1.3 \text { we get, } \\&x=270 \times 1.3 \text { Miles } \\&x=351 \text { Miles }\end{aligned}[/tex]

Step 2 of 2

To check if the answer is reasonable, we substitute it back in the formed proportion

[tex]\frac{x \text { Miles }}{\text { 1.3inches }}=\frac{270 \text { Miles }}{1 \text { inch }}$$[/tex]

We found x=351 Miles hence,

[tex]$$\begin{aligned}&\frac{351}{1.3}=\frac{270}{1} \\&270=270 \\&\text { Here, } L H S=\text { RHS }\end{aligned}$$[/tex]

Hence, our answer is correct.

The graph that represents viable values for y = 2x is Option A.

A straight line function is given by y = mx +c , where m is the slope and c is the y intercept.

The given equation is y = 2x

here m  = 2

x is the number of pounds of rice scooped and purchased from a bulk bin

y is the total cost of the rice

as both the data cannot be negative , Option C , D is out of choice

The Option 1 represents a straight line and it starts at the origin which is satisfied by y = 2x as y = 0 , at x = 0

ends at  point (2.5, 5) giving a slope of m =2 ,

Therefore , The graph that represents viable values for y = 2x is Option A.

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Answer:

(-5,7) (5,-7)

Step-by-step explanation:

When you are told to lable, show or name the points that lie on a horizontal line, it basically means that; when a line is drawn, it passes through the selected points without changing the direction when joined together (horizontally).

From the above problem, (-5,7) and (5,-7) lie in the same horizontal line.

For (7,-5) and (-7,5) lie in the same vertical line.

Thereforeour, the answer is (-5,7) (5,-7).

Based on the conversion rates of miles per hour and mach speeds, the value of Mach 1 in mph is 767.21 mph. Mach 3 will be 2,283.62.

Mach speed is used to denote the speed of an object that is traveling faster than sound.

Mach 1 would be a speed of 767.21 mph or more than 1,200 km/h. Mach 3 will be three times this speed at 2,283.62 mph.

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Answer:

x/3

Step-by-step explanation:

x+1 will always be an odd integer, since x is an even integer because the pattern of integers is odd, even, odd, even, odd... and so on, in intervals of 1.

x/2 will sometimes be an odd integer. Because x/2 will always be an integer, since x is an even integer, meaning it is divisible by 2. So by definition any integer, even or odd, multiplied by 2 will give you an even integer. For example 3*2 = 6, 5*2 =10, 7*2=14. These are all even integers, and when you divide by 2, you'll get an odd integer

So let's look at x/3. 1*3 = 3, 3*3 = 9, 5*3 = 15, 7*3 = 21. See how it always results in another odd integer? Well this is because you essentially have (odd + odd + odd), the odd+odd will result in an even, which is explained in the previous question, but then adding another odd number to an even number, will result in an odd. This means that any time you multiply an odd integer by 3, you will always get an odd result, meaning no even integer can be divided by 3 to get an odd integer.

Answer:

infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value

The T statistic does not require any information about the population.

The T - statistic is the ratio of the predictable value of a parameter from its hypothesized value to its standard disputable values.

The T statistic uses the sample variance instead of the population variance.
Since, the T statistic depends on  the hypothesized population mean. So in place of the  standard deviation of population,  size or mean of the population, T-statistic depends on the sample mean, the sample standard deviation and the sample size .

Thus, The T-statistic does not require any information about the population

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The smallest possible perimeter of the triangle is 21.

The third important property of triangles is the triangle inequality rule, which states: that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference between the lengths of the other two sides.

so let 10 = a  

10 < b+c        

So a good integer value for b+c   would be 11

10 >  b-c        

If we let b be the bigger of the two 10 and 1  would work for b and c respectively or 7 and 4 or 6 and 5 or 6.5  4.5, etc

10 + 11 = 21.

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Please find attached herewith the solution of your question.

if you have any question, feel free to ask.

The graph that shows y=3⌈x⌉ + 1 from the given options is the Third graph as shown attached.

The third graph shows the function and this can be tested as follows:

When x = 2, y = 7:

y = 3x + 1

= 3 x 3 + 1

= 7

When x = 3, y = 10:

y = 3 x 3 +1

= 10

When x = 1, y = 4

y = 3 x 1 + 1

= 4

This shows that the line on the third graph is well represented by the function, y=3⌈x⌉+1.

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No, we cannot claim that the population mean breaking strength of the newly- manufactured cables is greater than pounds.

Given mean=1900, standard deviation=65, sample size=150, sample mean=1902, level of significance=0.01.

The hypothesis are:

[tex]H_{0}:\\[/tex]μ=1900

[tex]H_{1}:[/tex]μ>1900

We have to use z test as the sample size is large and we know the population standard deviation.

z=(x-μ)/σ/[tex]\sqrt{n}[/tex]

z=(1902-1900)/65/[tex]\sqrt{150}[/tex]

z=0.38

finding the p value:

p value=P(Z>z)

=P(Z>0.38)

=1-P(Z<0.38)

from the z table we get;

P(Z<0.38)=0.6480

Therefore p value=1-0.6480

=0.3520

If the p value is less than 0.01 then we reject the [tex]H_{0}[/tex] otherwise we will reject the null hypothesis.

In this problem we also reject the null hypothesis.

Hence  we cannot claim that the population mean breaking strength of the newly- manufactured cables is greater than pounds.

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Question is incomplete. It should includes:

 mean=1900,

standard deviation=65,

sample size=150,

sample mean=1902,

level of significance=0.01.

The probability of selecting a heart or red Queen from the deck of cards is 1/2.

Total cards = 52

total red cards = 26

P(not selecting a red card)

= (52-26)/52

= 26/52

= 1/2

Total heart = 13

Total 2 = 4 (one for each club, diamond, heart, spade)

Total 2 of heart = 1

P(not selecting a 2 or heart) = (52 - 4 - 13 + 1)/52

= 36/52

= 9/13

Opportunity is the department of arithmetic concerning numerical descriptions of how probably an event is to arise, or how probably it's far that a proposition is genuine. The possibility of an occasion is a range of between zero and 1, where, more or less speaking, 0 shows the impossibility of the occasion and 1 indicates certainty.

The possibility is clearly how in all likelihood thing is to show up. each time we are uncertain about the final results of an event, we can talk about the probabilities of sure effects and how likely they're. The evaluation of activities governed via chance is known as statistics.

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The maximum number of miles she can drive is $111.388.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Step-by-step explanation:

The rental company charges $19.95

and, 18 cents for each mile driven.

So,

$40 - $19.95 = $20.05

Thus,  the maximum number of miles she can drive

=$20.05 / by 0.18

= 111.388

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In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .

Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: [tex]\sqrt{(x-x bar)^{2}/N }[/tex]

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/[tex]\sqrt{n}[/tex]

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑[tex](x_{i} -x bar)(y_{i} -y bar)/\sqrt{}[/tex]∑[tex](x_{i} -x bar)^{2}[/tex]∑[tex](y_{i}-ybar) ^{2}[/tex]

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The length of side CD is equal to 11 units.

Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)

We are require to find the length of side CD.

Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.

We know that the distance means how far two points are located.

Coordinates of  A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).

Distance=[tex]\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex] where ([tex]x_{1} ,y_{2} )(x_{2} ,y_{2} )[/tex] are the coordinates of two ends of a line.

CD=[tex]\sqrt{(-5-6)^{2} +(-4+4)^{2} }[/tex]

=[tex]\sqrt{11^{2}+0^{2} }[/tex]

=[tex]\sqrt{121}[/tex]

=11 units.

Hence the length of side CD is 11 units.

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Question is wrong as it should be :

Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.

The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.

The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.

The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.

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The triangle with base 14, sides 12 and 6, will have an area, a = (1/2)(14)(5) = 35 square units. Hence, the 3rd option is the correct choice.

The area of a plane figure is the space occupied within its boundary.

The area of a triangle is given as,

a = (1/2)(b)(h) sq. units, where a is the area of the triangle, b is its base, and h is its height.

In the question, we have been given a triangle with a base of 14, sides 12 and 6, and a height of 5.

We are asked to determine the area of this triangle.

To determine the area of the triangle, we will use the formula:

a = (1/2)(b)(h) sq. units, where a is the area of the triangle, b is its base, and h is its height.

Now, we are given that the base is 14 and the height is 5, thus substituting b = 14, and h = 5, in the above formula, we get:

a = (1/2)(14)(5) sq. units.

or, a = 35 sq. units.

Comparing this with the given options, we can choose the third option.

Thus, the triangle with base 14, sides 12 and 6, will have an area, a = (1/2)(14)(5) = 35 square units. Hence, the 3rd option is the correct choice.

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