A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno

Answer:

0

Step-by-step explanation:

X = 0.6444

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

tan x +sec x =2

⇒sin x /cosx + 1/ cos x = 2

⇒1+sin x / cos x  =2

⇒ (sin² x/2 +cos ² x/2 +2 sin x/2 cos x/2 )/( cos ² x/2 - sin²x/2 ) = 2

⇒(cos x/2 +sin x/2)² / ( cos ² x/2 - sin²x/2 ) = 2

⇒( cos x/2+sin x/2)² / (cos x/2 + sin x/2)(cos x/2-sinx/2) = 2

⇒(cos x/2 +sin x/2)/ (cos x/2-sin x/2) = 2

Dividing by cos x/2 in both numerator and denominator,

⇒(1+tan x/2)/(1-tan x/2) =2

⇒ 1 + tan x/2 = 2 - 2tanx/2

⇒ tan x/2 = 1/3

⇒ x= 0.6444

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After simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

- ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y)

First we will multiply 2 and open the brackets.

So, we get that:

- 7 x + 3 y + 3/2 x + y

Combining the like terms, we get that:

= ( - 14 + 3 ) x / 2 + 3 y + y

Simplifying and solving the expression to obtain the result, we get that:

= - 11 / 2 x + 4 y.

Therefore, after simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

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Yes, it is not possible to have an absolute maximum or absolute minimum.

Here,

We are examining a function over an interval ( a , b ) , for a and b finite,

We have to find,  is it possible not to have an absolute maximum or absolute minimum.

What theorem indicates the existence of absolute maxima or absolute minima of a function?

If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].

Now,

The function is define over an interval (a, b).

Hence, the function is define on open interval.

So, it is not possible to have an absolute maximum or absolute minimum.

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Three principles of experimental design: Control, Random, Enough.

What is the principle of an experiment?

The guiding principles of experimental designs are randomization, replication, and local control. These recommendations offer a valid test of significance.

What are the three experimental design principles, and can you briefly describe how each one reduces experimental error?

How many experimental design principles are there?

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The coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3) .

Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).

If we are given the dilated point, then we can find the original point by dividing by the scale factor.

Triangle ABC was dilated by a scale factor of 3 about the origin mapping it to triangle A'B'C' with vertices A'(-1/3), B'(4/,2), and C(0/-5).

The coordinates of triangle ABC are:

A=(-1/3,3/3) = (-1/3)

B=(4/3,2/3) = (4/3,2/3)

C=(0/3,-5/3) = (0/3,-5/3)

coordinates are formed by two components that are a latitude , giving the north-south position, and a longitude, giving the east-west position.

Therefore the coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and  (0/3,5/3)

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Expressing x in terms of 0 and y gives x = 0 + (32/23)y

Given the expression 23x-32y = 0 with number bases x and y.

This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.

We have to express x in the same equation in terms of 0 and y.

So we need to isolate x to one side of the equality.

23x-32y = 0

⇒23x = 0 +32y

Dividing throughout by 23 gives,

⇒ x = 0 + (32/23)y

This is x expressed in terms of 0 and y

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Answer:

The inverse is [-4/3 -5/3 1]

[-4/3 -8/3 1]

[1/3 2/3 0]

Sorry, I didn't know how to type it well.

The answer is m∠1 = 84°

Step-by-step explanation:

m∠4 = m∠2 so m∠2 = 96°

m∠1 + m∠2 = 360 - m∠4 - m∠2

m∠1 + m∠2 = 360 - 96 - 96

m∠1 + m∠2 = 168

m∠1 = 168/2

m∠1 = 84°

the absolute deviation for the man is 3 years more than the one for the woman.

We know that the absolute value function:

m(x) = |x - 44|

Represents the absolute deviation of man's age, in years.

This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:

m(64) = |64 - 44| = 20

The absolute deviation for a man of 64 years old living in this city is 20 years.

Similar for the case of women, the equation here is:

w(x) = |x - 47|

If a woman has 64 years old, then the absolute deviation is:

w(64) = |64 - 47| = 17

The absolute deviation is 17 years.

We can see that the absolute deviation for the man is 3 years more than the one for the woman.

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's set up some equations based on the information given:

            [tex]\hookrightarrow \text{60 percent of p} = \frac{60}{100} *p=0.6p[/tex]

            [tex]\hookrightarrow \text{'32 less than p'} = p-32[/tex]

Therefore:

    [tex]\hookrightarrow \text{You paid '0.6p' or 'p - 32'}[/tex]

                 [tex]\hookrightarrow \text{The equation is } '0.6p = p-32'[/tex]

                                  [tex]0.6p=p-32\\p-0.6p=32\\0.4p=32\\p = 80[/tex]

Answer:

Hope that helps!

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Mean and standard deviation is more affected by extreme observations.

Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.

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Answer:

v = 5(a - gt) or

v = 5a - 5gt  These both mean the same thing

Step-by-step explanation:

1/5 v + gt = a  Subtract gt from both sides of the equation.

1/5 v = a - gt  Multiply both sides by 5

v = 5(a - gt)

Step-by-step explanation:

f(x) = 2x² - 5x

= f(x-4) + f(x)

= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]

= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]

= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]

= [2x² - 21x + 52] + [2x² - 5x]

= 4x² - 26x + 52

Answer:

7 photos on each page

Step-by-step explanation:

63/9 = 7

She puts 7 photos on each page.

Answer:

10/1 = X

Cross multiply

X = 10

2√10/3 is irrational number

The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.

The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.

Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.

Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.

After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:

For instance, 8 = 2.828

MULTIPLYING THE TWO NUMBERS,

2/√18 x 2√5

= 2 /3√2 x 2√5

= 4√5/3√2

= 2√2 x √5 /3

= 2√10/3

rational number multiplied by an irrational number is always a irrational number.

Since √10 is a irrational number, therefore, 2√10/3 is irrational number.

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Let the middle integer be x.

We're given:

[tex](x-1) + x + (x+1) = -27[/tex]

Open up the brackets:

[tex]x-1 + x + x+1 = -27[/tex]

Combine like terms:

[tex]3x = -27[/tex]

Divide both sides by 3:

[tex]\dfrac{3x}{3} = \dfrac{-27}{3}[/tex]

[tex]x=-9[/tex]

The value of the middle integer is -9.

It was mostly during C . Dry season

The “Cricket Season” is the period of days where cricket is played in a country when the pitches get dry and also this is the period where the domestic matches begin.

And this season varies with countries, in India it starts with the Ranjit Trophy, Sheffield Shield for Australia etc.

Cricket seasons are the times of the year when cricket is played. Because top-class cricket is almost always played outdoors, on uncovered pitches, and rain prevents play, the seasons in each country are geared to coincide with the driest months of the year

    The cricket season starts at the beginning of April and finishes at the end of September. As the time zones move around the planet, the seasons will differ in other countries.

In the UK,

professional games have occasionally taken place at the end of March but the season will normally begin at the start of April.

In India

The cricket season in India will usually begin in mid-September. Often, there are senior women’s games starting things off before men’s tournaments commence in October.

In Australia

Cricketers in Australia may start playing in September, especially in the west of the country which gets the warmer weather first.

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The area of the region enclosed by the curves y = 7sin x and y = sin(7x) , 0 < x < π is 13.7 square units.

Given the equation of the curves:

y = 7sin x and y = sin(7x)

Now, we have to find the area between the curves .

Area between y = 7sin x and y = sin(7x) ,

   A = ∫[7sin(x) - sin(7x)]dx

⇒ A = [-7cos(x) + 1/7 cos(7x)]

⇒ A = [-7cos + 1/7 cos(7)] - [-7cos(0) + 1/7 cos(0)]

Since cos(π) = -1  ;  cos(7) = -1  ; cos(0) = 1

⇒A = [-7(-1) + 1/7 * (-1)] - [-7 * 1 + 1/7 * 1]

⇒A = 7- 1/7 + 7 - 1/7

⇒A = 14 - 2/7

⇒A = 96/7

⇒A = 13.7 units

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Answer:

Step-by-step explanation:

One

23 + 52 = 75    This can be done using columns

2  3

5  2      No carries Add.

7   5

Two

72 - 33 = 39

7    2

3    3     You have to borrow a ten from the 7 to make this work

3   9

Three

82 + sqrt(100)

sqrt(100) = 10

82 + 10 = 92

Using linear functions, we have that:

a. For 6 or more games, the cost a bowling alley A is less, and for 4 or less games, the cost at bowling alley B is less.

b. For any number of games, the cost at alley B will be less.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we have that:

Hence they are given as follows:

The cost for A will be less when:

A(x) < B(x).

Hence:

4x + 7.5 < 4.5x + 5

-0.5x < -2.5

0.5x > 2.5

x > 2.5/0.5

x > 5.

Hence for 6 or more games, the cost a bowling alley A is less, and for 4 or less games, the cost at bowling alley B is less.

For item b, with the increase of $0.5 per game, we have that:

A(x) = 4.5x + 7.5.

Then the costs per game will be the same, while alley B has the lower intercept, meaning that for any number of games, the cost at alley B will be less.

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The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

Constant proportionality:

Constant proportionality means the ratio of two proportional values at a constant value.

Directly Proportional:

In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.

Given,

Suppose that y is directly proportional to x.

And y = kx.

Here we need to find the value of k when the value of x = 10 and the value of y = 30.

And we also need to find the value of y when the value of x = 14.

First, we have to find the value of k by apply the given value of the equation,

=> 30 = k x 10

=> 30 /10 = k

=> k = 3

Now the value of y when the value of x = 14 and the value of k = 3,

Then

=> y = 3 x 14

=> y = 42.

Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

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Answer:

it is 3

Step-by-step explanation:

beacuse i did it

64.71% percent of the data values are greater than 80.

What is the percentage?

Min. value = 30

Max. value  = 85

Percentage (%) of data values greater than 30(thirty) = [tex]\frac{55}{85} X 100[/tex]

                                              = 64.71%

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Irrational because the number keeps going on forever and it does not repeat a certain pattern like 0.24242424...

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation: