Draw a quadrilateral with two pairs of parallel sides, with one side measuring 5 centimeters, one side measuring 3 centimeters, and one angle measuring 45 what is the name of the figure you drew?

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{ origin }{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-15}~,~\stackrel{y_2}{36})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-15 - 0~~)^2 + (~~36 - 0~~)^2} \implies \implies d=\sqrt{( -15 )^2 + ( 36 )^2} \\\\\\ d=\sqrt{ 225 + 1296 } \implies d=\sqrt{ 1521 }\implies d=39\)

Answer:

Step-by-step explanation:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Answer:

6x + 14

Step-by-step explanation:

Givens

P = s1 + s2 + s3

s1 = x

s2 = 4x + 12

s3 = x +2

Solution

P = x + 4x + 12 + x + 2

P = 6x + 14

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

24 apples

Step-by-step explanation:

set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.

Step-by-step explanation:

do

y2-y1

x2-x1

(-1+1)/(4-8)

The value of x on the line is (d) 55

From the question, we have the following parameters that can be used in our computation:

The parallel lines and the transversal

Given that the line a and b are parallel line, we have the following equation:

x + 45 = 100

Subtract 45 from both sides of the equation

So. we have

x = 100 - 45

Evaluate

x = 55

Hence, the value of x is 55

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Answer:

8 and 9

Step-by-step explanation:

Answer:

Think!

72 + 82 = 49 + 64 = 113

82 + 92 = 64 + 81 = 145

Step-by-step explanation:

Found the answer by simple experimentation.

hope this helps

The set of input values (x-coordinates): (-7, -3, 0, 5) and the set of output values (y-coordinates): (1, 2, -2, -5) make up the domain and range of this set of ordered pairs.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input.

After we enter an x value, the function outputs this sequence of values.

So, we have the ordered pair:

{(-1, 2), (0, 5), (2, 7)}

Now, get the domain and range as follows:

The set of input values (x-coordinates): (-7, -3, 0, 5) ⇒ Domain

The set of output values (y-coordinates): (1, 2, -2, -5) ⇒ Range

Therefore, the set of input values (x-coordinates): (-7, -3, 0, 5) and the set of output values (y-coordinates): (1, 2, -2, -5) make up the domain and range of this set of ordered pairs.

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Question:

Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.

Answer:

\(Total = 10w + 5 - 3t\)

Step-by-step explanation:

Given

\(Points = 10\)

\(Extra\ Point = 5\)

\(Taken\ Away = 3\)

Required

Represent as an expression

Represent the words with w

So, the total points for w words is:

\(w\ Points = 10*w\)

\(w\ Points = 10w\)

Also, he will earn the extra point because his 1 word contain 6 letters.

So, the new point is:

\(New\ Point = w\ Point + 1 * Extra\ Point\)

\(New\ Point = 10w + 1 * 5\)

\(New\ Point = 10w + 5\)

Lastly, represent the number of tiles remaining with t.

3 points are taken away for 1 tiles left

3*t points will be taken away for t tiles left

So, Donovan total points is:

\(Total = 10w + 5 - 3 * t\)

We subtracted because the points are taken away

\(Total = 10w + 5 - 3t\)

Answer: C (3)

Step-by-step explanation:

The digit in the hundredths place of 8.731 is 3. This is because the hundredths place is the third decimal place from the right, and it holds the value of 0.03. Therefore, the digit in the hundredths place is 3.

Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

The value of the derivative at the maximum or minimum for a continuous function must be zero.

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

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Answer:

39,055

Step-by-step explanation:

so you say 6 over 100 multiplied by $36,500 over 1. then 100 into 36,500 then you get 365. then you say 6 multiplied by 365 and you get 2,555. then you say 2,555 plus 36,500 then you get 39,055

The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

There ya go, good luck,,,,

The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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Answer:

o

Step-by-step explanation:

o

Answer:

2/12

Step-by-step explanation:

The required expression is Total = 152+x .

What is expression ?

  Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

Here,

The number of bottles Enrique collected = 152

Let us take number of bottles  collected by Latasha as x. Then,

Total number of bottles collected by the is ,

=> Total = Number of bottles collected  + Number of bottle collected

                by Enrique                                   By Latasha.

=> Total = 152+x

Hence the required expression is Total = 152+x.

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1.The probability of winning $20 is 1/200.

2.The probability of winning $1500 is 1/7500.

3.The probability of winning $20000 is 1/200000.

4. the probability of not winning anything is 0.9989375

1.The probability of winning $20 is

P(winning) = p(winning chance)/total

                   =1/200.

2.The probability of winning $1500 is

P(winning 1500) = p(winning chance)/total

                           = 1/7500.

3.The probability of winning $20000 is

P(winning) = p(winning chance)/total

                    =1/200000.

4.To find the probability of not winning anything, you can subtract the sum of the probabilities of winning $20, $1500, and $20000 from 1. This is 1 - (1/200 + 1/7500 + 1/200000) = 1 - 0.0010625 = 0.9989375

Probability is a mathematical concept used to measure the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. In general, the probability of an event can be calculated as the number of favorable outcomes divided by the number of possible outcomes.

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Answer:

99/10 = 9\(\frac{9}{10} \) in^2 (second choice)

Step-by-step explanation:

Area of rectangle = LxW

L = 4\(\frac{1}{8} \) = \(\frac{33}{8} \)

W = 2\(\frac{2}{5} \) = \(\frac{12}{5} \)

A = \(\frac{33}{8} \) x \(\frac{12}{5} \) = 396/40 = 99/10 = 9\(\frac{9}{10} \)

Answer:

B=9

Step-by-step explanation:

b+4=2b-5

b-2b+4=-5

b-2b=-5-4

-b=-5-4

-b=-9

b=9

The figure that shows a reflectional symmetry would be figure C. That is option A.

The reflectional symmetry of shapes is defined as the type of symmetry where one-half of the object reflects the other half of the object.

This is also called a mirror symmetry. This is because the image seen in one side of the mirror is exactly the same as the one seen on the other side of the mirror.

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In other words, 3/4 fraction of the bill are for vegetables, while 1 part is for fruit.

Using the data provided in the issue, we can determine what percentage of Marco's bill is made up of veggies. We are aware that fruit and vegetables account for 7/12 of the total bill and make up 1/8 of the total. By deducting the portion of the bill that is for fruit from the portion that is for fruit and vegetables, we can determine the portion of the cost that is for vegetables.

We must identify a common denominator for the two fractions in order to accomplish this. Since 12 and 8 have a denominator of 24, we convert both fractions to have a denominator of 24.

1/8 turns becomes 3/24

7/12 changes to 21/24.

We deduct 3/24 from 21/24 in order to derive the percentage of fruit from the percentage of fruit and vegetables.

21/24 - 3/24 = 18/24

Vegetables make up 18/24, or 3/4, of Marco's bill.

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Answer:

Step-by-step exjwnfjaW ejgnewjkgn rngjwrgnrwjg

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%