Find the missing side of this righttriangle.Х.911x= [?]✓Enter the number that belongs in the green box.

SOLUTION

One way to find the blank 1: least common multiple of two numbers is to list their multiples and find the first number that appears in both list.

Another way is to blank 2: multiply the numbers together, and then divide by their blank 3: greatest common factor.

(1) √15 is an irrational number.

(2) The point graphed on the number line is estimated.

Any number that cannot be stated as a fraction of any integer is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.

When multiplied by itself, the square root of 15 produces the original integer 15. The square root of 15 is an irrational number since it cannot be expressed in the form of p/q.

Therefore, √15 is an irrational number.

The value of √15 in decimal is 3.87298334621 and hence, the point graphed on the number line is estimated but not an exact answer.

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Answer:

A. The data are discrete because there are a finite or countable number of values.

Explanation:

In continuous data there are infinite possibilities for the values, on the other hand, discrete data has a limited number of possibilities for its values.

In this case, the number of customers waiting is a discrete value, there is a limit and it will be an integer number. Therefore, the answer is

A. The data are discrete because there are a finite or countable number of values.

Answer:

The expressions that represent the dimensions of the rectangle are:

(x+3) and (x+7)

Explanation:

The area of the said rectangle is

To find an expression that represents the dimensions of the rectangle, we need to factorize the expression for the area.

Therefore, the expressions we are looking for are

(x+3) and (x+7)

When dividing two fractions that is 3/5 by 2/3 then we get the answer as  9/10 = 0.9.

Steps to divide fractions:

Given two fractions 3/5 and 2/3,

to find 3/5 divided by 2/3 then,

                3/2 is the reciprocal of fraction 2/3.

The equivalent fraction for 3/5 divided by 2/3 is obtained by multiplying 3/5 by the reciprocal of 2/3.

              = 3/5 x 3/2

              = 9/10

              = 0.9

Hence,

As a fraction, 3/5 divided by 2/3 equals 9/10 = 0.9

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The linear equation representing this situation will be y = 4x, where y is the dependent variable and x is the independent variable.

As per the question statement, it is given that the perimeter of a square is equal to four times the length of its side and we are supposed to write the direct variation equation that represents this situation.

Also given that we have to use "y" and "x" which are dependent and independent variables respectively.

Perimeter = 4*side

So we conclude that perimeter is dependent on the independent value of side of the square.

Therefore, y = 4x would be the appropriate linear equation depicting the situation given.

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A new energy drink advertises 120 calories for 5 oz.

How many calories are in 15 oz?

We can set up a proportion to solve this problem

Where x is the number of calories in 15 oz

Let us solve the above equation for x

Therefore, there are 360 calories in 15 oz of drink.

The value is 1

From the question, we have

lim_(K→0) ((sin(AK))^2)/((sin(BK))^2 )

Differentiate the above form, we get

=lim_(K→0) ((2cos(AK)))/((2cos(BK)) ) (Applying l hospital rule)

Now substitute the limit,

=2/2 = 1

L’Hospital’s Rule :

An input value that a function approaches and yields some result is referred to as a limit. Calculus and mathematical analysis depend on limits, which are also used to determine integrals, derivatives, and continuity. A general technique for assessing indeterminate forms like 0/0 or / is the L'Hospital rule. L'Hospital's rule is applied to calculate the limits of indeterminate forms for calculus derivatives. It is possible to use the L Hospital rule many times. This rule is still valid after being applied, and it will take any indefinite form. L'Hospital's Rule cannot be applied if the issue is not of the indeterminate types.

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The factor of the given polynomial is (m - 2n)(m - 5n).

For the given question, the polynomial is -

= m² - 7mn + 10n²

We know that 10 = 5×2, thus break the equation like.

= m² - 2mn - 5mn + 10n²

Take m common from first two terms and -5n common from last two terms.

= m(m - 2n) - 5n(m - 2n)

Take common, (m - 2n).

= (m - 2n)(m - 5n)

Thus, the required factors of the given polynomial is  (m - 2n)(m - 5n).

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Answer: 8^3

Explanation:

We want to multiply 8^5 multiply 8^-2

We would apply the rule of exponent;

a^b * a^c = a^(b + c)

By comparing both expressions,

a = 8

b = 5

c = - 2

Thus, we have

8^5 * 8^-2 = 8^(5 + - 2) = 8^(5 - 2)

= 8^3

In order to find the distance between the given points, use the following formula:

where (x1,y1) and (x2,y2) are the given points,

In this case, you have:

(x1,y1) = (1 , 4)

(x2,y2) = (7 , 12)

By replacing the previous values into the formula for d, you obtain:

Hence, the distance between the given points is 10

The number of times that the candy jar is more than that of the neighborhood is 5 times.

From the information, the candy jar weighs 2.5 pounds when empty. and when you only go out in the neighborhoods who give out the large sized candy bars that weighs 0.5 pounds.

The number of times that yours is higher will be the weight of candy bar that you have divided by the weight of that of your neighborhood

= You candy weight / Neighborhood weight

= 2.5 / 0.5

= 5

Yours is 5 times more. This illustrates the concept of division.

The complete question is written below.

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You’re getting ready to fill up your halloween candy jar that weighs 2.5 pounds when empty. On Halloween night you only go out in the neighborhoods who give out the large sized candy bars. Each large candy bar you collect weighs 0.5 pounds. How many times is your candy jar more than that of the. neighborhood?

PART A.

The data in the table shows a POSITIVE CORRELATION , an increase in variable x is associated with an increase in the variable y.

PART B

Camelle should buy a total of 4y practice jerseys for the team

From the question, the given parameters are:

Number of players in the team = y players

Number of practice jersey for each player = 4 practice jerseys for each player

The total number of practice jerseys is the product of the number of players in the team and the number of practice jersey for each player

This is represented as

Total number of practice jerseys = Number of players in the team x Number of practice jersey for each player

Substitute the known values in the above equation

So, we have the following equation

Total number of practice jerseys = y players x 4 practice jerseys for each player

Evaluate the products

Total number of practice jerseys = y x 4 practice jerseys

This gives

Total number of practice jerseys = 4y practice jerseys

Hence, the number of jerseys is 4y

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Step-by-step explanation:

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Answer:

6.2

Step-by-step explanation:

i got this answer by guessing, srry.

The total amount of soda is

In order to make this addition, we must convert these fractions into a simple fraction form. That is,

so, the total amount of soda is given by

which gives

Now, we must subtact 2 3/8 of soda and we must convert it into a simple fraction form:

Then, Dan's family drank:

which gives

that is, they drank 55/8 of soda. In mixed fraction form, this result is equivalent to

(-14.5, 0)

The formula for finding the midpoint of two coordinates is expressed as;

For the given coordinates of K and L, since there is no y-axis, hence:

K = (-16, 0)

L = (-13, 0)

Get the midpoint of KL;

Hence the midpoint of KL will be at (-14.5, 0)

The domain of a function is the set of all posible values that its input can take.

To find it, we should analyze the rule of correspondence of the function to see if it includes restrictions over the variable that works as input. In this case, we can see that x appears inside a square root. The expression inside the square root must be greater or equal to 0. Then:

The domain of f is the set of all real numbers x such that:

In interval notation:

Therefore, the domain of the function is:

Answer:

i'm wath

Step-by-step explanation:

in whatwhat because wich

Given:

First, we need to simplify the expressions, as follows:

Then, the ordered list is:

One possible length of the third side of the given triangle is 15

From the question, we are to determine a possible length of the third side of the triangle

From one of the properties of a triangle, we know that

The sum of any two sides of a triangle is greater than the third side and the positive difference of any two sides of a triangle is lesser than the third side.

Thus,

8 + 17 is greater than the third side

25 is greater than the third side

and

17 - 8 is lesser than the third side

9 is lesser than the third side

If the third side of the triangle is x,
Then,

9 < x < 25

Hence, a possible value of x is 15

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The image of the function after vertically stretched by a factor of 3 is f'(x) = 3|x + 1| - 3

From the question, the given parameters are:

f(x) = |x + 1| - 1

The transformation is given as

Vertical stretch by a factor of 3

This implies that we stretch the function f(x) by a factor of 3 across the origin

Mathematically, this transformation can be represented as

(x, y) = (x, 3y)

When represented as a function, we have

f'(x) = 3 * f(x)

Substitute the equation f(x) = |x + 1| - 1 in the equation f'(x) = 3 * f(x)

So, we have the following equation

f'(x) = 3 * (|x + 1| - 1)

Remove the bracket

So, we have

f'(x) = 3 * |x + 1| - 3 * 1

Evaluate the products

So, we have

f'(x) = 3|x + 1| - 3

Hence, the equation of f'(x) is f'(x) = 3|x + 1| - 3

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we have, in

then 461.19 represents the yearly increase in value

answer: the first one, yearly increase in value

Given, 20 gallons per 4 minutes, let's find the unit rate:

Also, given 30 gallons per 6 minutes, that also has an unit rate of:

Thus, the constant of proportionality is 5.

Let's complete the table:

Yes, it does make sense. Because a high pressure sprayer should ideally be using a constant rate of water.

1) Examining that right triangle, and deriving from the similarity ratios, we can write down the following formulas:

Note that in this equation, we are not taking into consideration the negative 10 as a possible result since dimensions can only be written as positive numbers.

2) Now, with the length of the height (n) we can find the length of that hypotenuse m using this formula:

And that is the answer.

With the informationabout the rectangle, we can say the angle between the diagonal and the longest side (unknown) is 30°. While the shortest side is 50.

Then, to estimate the length of the remaining side (DC, which is equal to AB), we can state the following relationship:

Then:

We can multiply numerator and denominator by square root of 3 to simplify:

The length of side DC is approximately 86.6. The correct answer is the fourth option.

SOLUTION:

Case: Volumes

Where l is length, w is width and h is height.

Given:

Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft. 3

Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft. 3

Method:

For Kyle,

Volume:

For Myla,

Volume:

The length and width of both boxes are 2ft and 2ft respectively. But they have different heights.

Final answer:

Both have a width of 2ft

Explanation: Same length and width, different heights hence different width