Use < or > to write a true sentence. show Your work in lining up decimals and adding Zeroes.7.123 7.213

The value of the missing length √5

What Pythagoras Theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given,

Hypotenuse = 3cm

One side = 2cm

Let the one side given be Base

Then, base = 2cm

Now, by Pythagoras Theorem we can find out the missing length or Perpendicular of the triangle

By Pythagoras Theorem:

H² = P² + B²

If we have to find perpendicular then,

P² = H² - B²

or,

P = √H² - B²

Putting the values we get,

P = √(3)² - (2)²

P = √(9 - 4)

P = √(5)

P = √5

Hence, The missing length of the triangle is √5

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Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.

Given that,

Each of Polina's juice pouches holds 7 fluid ounces of juice.

We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.

The equation is p=7j

p-7j=0

Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.

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Answer:

3.039%, 3 3/16%, 3.4%, 3.499%, 3 1/2%.

Step-by-step explanation:

First convert to them all decimal fractions:

= 3.4, 3.039, 3.1875, 3.499, 3.5

so,  the answer is

3.039, 3.1875, 3.4, 3.499, 3.5

The equation which represent the relationship between x and y is x = 3y.

Given that:-

x 18 12 21 27

y 6 4 7 9

We can see that,

When x = 18, y = 6

Hence, 18 = 3*6

Hence,

x = 3y

Similarly,

When x = 12, y = 4

Hence, 12 = 3*4

Hence,

x = 3y

When x = 21, y = 7

Hence, 21 = 3*7

Hence,

x = 3y

When x = 27, y = 9

Hence, 27 = 3*9

Hence,

x = 3y

Hence, by observing all the data given in the question, we can say that,

x = 3y

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As per the unitary method, the number of matches did India play is 20.

Unitary method:

Unitary method is the method in which we first find the value of a unit quantity and then use it to find the value of any required quantity.

Given,

Indian cricket team won 4 more matches than it lost with New Zealand.

Consider If it won 3/5 of its matches, then we need to find the number of matches did it played.

Let us consider the number of matches lost = x

Number of matches won = x + 4

Therefore, the total matches played

=> x + x +4

=> 2x + 4

So, we know that, it won 3/5 th of the matches,

Then it can be written as,

=> x + 4 = 3/5 (2x +4)

Cross multiply it,

=> 5(x + 4)  = 3(2x + 4)

=> 5x + 20 = 6x + 12

=> x - 8 =0

=> x = 8

Then the total number of matches played by India is,

=> 2(8) + 4

=> 16 + 4

=> 20.

Therefore, 20 matches are played by India.

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Answer:

b is correct.

Step-by-step explanation:

Starting at (-2, -3), go 4 units up and then 5 units to the right. You will end up at (3, 1).

Note that the two De Morgan laws are:

For the statement

The equivavent statement if De Morgan law is applied will be:

AJ, this is the solution to the exercise:

Applying one of the exponents property, we have:

(2^2t

Answer:

true

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Let x = the unknown value, and express the equation as follows:

3/8 = 27/x

Cross-multiply (multiply each side of the equation by the other side's denominator, thus eliminating the denominators from both sides):

3x = 8 * 27

Simplify:

3x = 216

x = 72

The equation of the line in slope intercept form is; y = 9x/4 - 37/4.

For the given question;

The equation of the parallel line is given as;

9x - 4y = 7

Find the slope of the equation by comparing the equation with the standard form.

4y = 9x - 7

y = 9x/4 -7/4

Slope = m = 9/4

As, the line is parallel to the line passing from the point (5, -2).

Thus, the slope of both lines will be equal.

The equation in slope intercept form is found using,

y - y1 = m(x - x1)

y + 2 = (9/4)(x - 5)

Solving,

y = 9x/4 - 37/4

Where, slope is 9/4 and y-intercept is -37/4.

Thus, the equation of the line in slope intercept form is; y = 9x/4 - 37/4.

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The total amount that the captain receives for the fishing trip=850+17 percent $994.5

What is the percentage?

Amount charged =$850

tip from the group=17 percent

The total amount that the captain receives for the fishing trip=850+17 percent 850

=850+(0.17X850)

=$994.5

The total amount that the captain receives for the fishing trip=850+17 percent $994.5

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each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of the two numbers, and the factors that are multiplied are referred to as the factors.

according the question

if 2 cups of flour is used for recipe prepared for 1 person.

if you want to prepare the recipe for 24 people it will need 2 X 24 = 48.

so 48 cups of flour is used for recipe prepared for 24 people.

Hence, each ingredient is multiplied by 24 will need to make an identical recipe that servers 24 people.

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Considering the given stem-and-leaf plot for the distribution, it is found that:

a. The shape of each data-set is:

b. Due to the skewed distribution, the best measure is the median, and Wyatt is not correct.

c. Since all the values are within 1.5IQR of the first and of the third quartile, there are no outliers in the distribution and Wyatt is correct.

The plot lists all the measures in the data-set, following the format of the key, as follows:

4|5 = 45.

Hence, the Junior measures are:

112, 121, 125, 132, 134, 135, 146, 156, 195, 200.

The Senior measures are:

123, 166, 172, 175, 183, 186, 191, 194, 197, 201.

To classify the shape of the distribution, we need to find the mean and the median.

For the Juniors, these measures are given as follows:

As the mean is greater than the median, the distribution is skewed to the right.

For the Seniors, these measures are given as follows:

As the median is greater than the mean, the distribution is skewed to the left.

For item b, in skewed distributions we should use the median as the measure of center, hence Wyatt is not correct.

For item c, the quartiles of the Junior's data-set is given by:

Hence the interquartile range IQR is given by:

175.5 - 123 = 52.5.

Then the bounds of non-outlier values are given by:

All the measures are in this range, hence there are no outliers.

The plot is given by the image at the end of the answer.

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The equation of the line with slope -3/4 and y intercept 9 is y=-3/4x+9.

Based on the conditions formulate:

m=-3/4

and b = 9

Write the equation of the linear function:

y=mx+b

substitute m=-3/4 and b=9 into y=mx+b:

y = -3/4x+9

A line's equation must be in the Slope-Intercept Form, y = mx + b, in order to be graphed using its slope and y-intercept.

This format makes it simple to read off the slope and y-intercept values. The y-intercept is the constant term b, whereas the slope is just the m coefficient of the variable x.

plot the y intercept (0,9) in the xy axis.

Use the slope to locate a different point beginning at the y-intercept. The direction you travel from one point to another is contained in the slope.

Hence the required graph is plotted.

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Answer:

give me the details then I might be able to actually answer it -_-

Step-by-step explanation:

The foci of the hyperbola represented by x² - 3y² + 12 = 0 is; (0, -4) and (4, 0)

The general form of equation of a vertical hyperbola is expressed as; (y²/a²) + (x²/b²) = 1

Some of the properties of a vertical hyperbola are;

We are given the equation of the hyperbola as;

x² - 3y² + 12 = 0

Converting this equation to the general form of a vertical hyperbola, we have; x² - 3y² = -12

Divide through by -12 to get;

(y²/4) - (x²/12) = 1

From the general form, we can say that;

a² = 4

b² = 12

Thus;

Eccentricity; e = [√(a² + b²)]/a = e = [√(4 + 12)]/4

e = 1

Thus, the foci is;

(0, -(4 * 1)) and ((4*1), 0) = (0, -4) and (4, 0)

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Answer: Quadrant 2

Step-by-step explanation: well quadrant 3 is the bottom right corner, and clockwise would put it up a quadrant, which is quadrant 2.

Answer:

-10 and -5 is the answer of that question

Answer:

BC = 10 units

Step-by-step explanation:

       Perimeter = Sum of all sides

        y + 1 + 4y + 5y - 2 = 89 units

        y + 4y + 5y + 1 - 2 = 89

Combine like terms,

                       10y - 1  = 89

Add 1 to both sides,

                              10y = 89 + 1

                             10y = 90

Divide both sides by 10,

                                y = 90 ÷ 10

                               y = 9 units

BC = y + 1

     = 9 + 1

      = 10 units

The expression of the possible values of the number is x < 16

The statement is given as

Eight less than four times a number is less than 56.

Rewrite the statement as an expression

So, we have

4 * number - 8 is less than 56

Represent the number with x

So, we have

4 *  x - 8 is less than 56

This gives

4 *  x - 8 <  56

Add 8 to all sides

4 *  x <  64

Divide both sides by 4

So, we have

x < 16

Hence, the number is all numbers less than 16

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Step-by-step explanation:

m = n + x/p

to make x the subject means to transform this into an equation, where we have x alone on one side being expressed by the other terms.

e.g.

x = ...

remember, when we change one side of an equation, we have to do the same thing to the other side as well. otherwise the equation relation is broken. it is like a balance that we need to keep in balance.

so,

m = n + x/p | subtract n from both sides

m - n = x/p | multiply both sides by p

(m - n)p = x

or

x = (m - n)p

because it is an essential property of an equation relation that

a = b means that also b = a

Answer:

3.66 lb

Step-by-step explanation:

2/3=0.666

3+0.66=3.66

Answer:

Substitute respective values of x into the equation.

a) When x = 0,

   (0)² + 2(0) - 1 = -1

    Ans: -1

b) When x = -2,

   (-2)² + 2(-2) -1 = 4 + (-4) - 1

                          = - 1

   Ans: -1

c) When x = 4,

   (4)² + 2(4) - 1 = 16 + 8 - 1

                        = 23

  Ans: 23