Quadrilateral ABCD has vertices A(9, 9), B(—7, 9),
C(-8,-5), and D(4,-5). In terms of units, what is the
perimeter of quadrilateral ABCD?
Round your answer to the nearest tenth.

Answer:

LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Given equation,

→ 3x - (2/3)x = 14

Now the value of x will be,

→ 3x - (2/3)x = 14

→ (9/3)x - (2/3)x = 14

→ ((9 - 2)/3)x = 14

→ (7/3)x = 14

→ 7x = 14 × 3

→ x = 42/7

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:[tex]\frac{3}{-2}[/tex]

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

start at (0,1)

go up 3 units

then go left 2 units

slope= [tex]\frac{3}{-2}[/tex]

By apply the law of cosine, the shortest length of wire needed is 180 feet.

In order to determine the shortest length of wire needed, we would apply the law of cosine because a mental image of the scenario described produces a right-angled triangle.

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

C² = A² + D² - 2(A)(D)cosD

Note: Angle D = 90° + 32° = 122°

Substituting the given parameters into the formula, we have;

C² = 55² + 145² - 2(55)(145)cos122°

C² = 3,025 + 21,025 - 2(7,975)(-0.5299)

C² = 24,050 - (-8,451.905)

C² = 24,050 + 8,451.905

C² = 32,501.905

C = √32,501.905

C = 180.28 ≈ 180 feet.

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After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
        The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

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With the help of probability we can say that there are 1140 ways.

acc to our question-

Hence,we can say that there are 1140 ways.

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By evaluating the linear equation we will see that:

A = -3

B = 4

And the correct line is the purple one.

We know that the points (0, A) and (B, 0) lie on the line 3x - 4y = 12

To find the value of A, we can replace the values of the point on the line, so we get:

3*0 - 4*A = 12

-4*A = 12

A = 12/-4 = -3

A = -3

To get the value of B we do the same thing.

3*B - 4*0 = 12

B = 12/3

B = 4

So the points are (0, -3) and (4, 0).

Then the correct line is the purple one.

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Time taken by pipe 1 to fill the pool is 6 and by pipe 2 is 12.

Here we have to find the time taken by each pipe to fill the pool.

Formula to find the work:

w = r × t

where

w =  is the work done

r = is the rate of work done

t =  is the time taken to do the work

For pipe 1 working alone to fill 1 pool, the work done is 1

w1 = r1 t1

1 = r1 × t1

t1 = 1/r1

For pipe 2 working alone to fill 1 pool, the work done is 1;

w2 = r2 t2

1 = r2 × t2

t2 = 1/r2

From the question, it would take 9 hours if each pipe took turns filling half the pool. That is;

t1/2 + t2/2 = 9

t1 + t2 = 18

However, if both pipes worked together, it would take 4 hours for each pipe. That is;

w1 + w2 = w

r1t1 + r2t2 = 1

4r1 + 4r2 = 1

r1 + r2 = 1/4

As we know from the above:

r1 = 1/t1 and r2 = 1/t2

So;

1/t1 + 1/t2 = 1/4

(t2 + t1)/ t1 t2 = 1/4

t1 + t2 = 18

So

t1 t2 = 72

The only factors of 72 that satisfy the conditions

t1 + t2 = 18

t1 . t2 = 72

are 6 and 12.

Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours.

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5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

The expression that can be used to find the temperature after it changes is 85°F + C

Temperature refers to the degree of hotness or coldness of a body at a particular time. It is measured in degree Celsius, degree Fahrenheit an Kelvin.

The instrument used to measure temperature is a thermometer.

let

The change in temperature = 85°F + C

= 85°F + (-11°F)

= 85 - 11

= 74°F

Therefore, the new temperature after a decrease in 11°F is 74°F

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Answer:

57 coins are not nickels.

Equation: n + 57 = 70

Step-by-step explanation:

To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:

26 + 12 + 19 = 57 coins are not nickels.

The equation you could use to find n (nickels) would be:

n + 57 = 70

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The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

A=l*b

=310

b=310/l

total cost=(8b+4l+16l)

=8b+20l

=8*310/l+20l

t=2480/l+20l

t'=20-2480/l²

t'=0

20l²=2480

l²=124

l=11.13 feet

b=310/11.13

b=27.85 feet

The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.

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The range of the given function is y ≥ 0 which is option B.

From the graph:

Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)

Range is defined as the set of y values or outputs.

range = 0,1,2,3 ......

Means range starts from zero to infinite(0 to all positive values.

so range = y ≥ 0

Therefore  range of the given function is y ≥ 0 which is option B.

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The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

For a dilation with a scale factor of 2, we have:

Point A (-8, 1)   →   (-8 × 2, 1 × 2)  = Point A' = (-16, 2)

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A' = (-16, 2)   →  Points A' = (-(-16), -(1)) = (16, -1).

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Complete Question:

What is the image point of (-8, 1) after the transformation D₂ о R180°?

The measure of the exterior angle as shown in the triangle is 140°.

Exterior angle is the angle between a side of a polygon and an extended adjacent side.

Exterior angle theorem: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

From the diagram below, applying the theorem above,

Hence, the exterior angle is 140°.

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Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

   Y intercept = 4

2). The graph,

    Y intercept = (2)

3). Graph represented by table

    Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

    Y intercept = -2

It is the total distance from the origin and the intersection of y axis and the formed line. It may be positive, negative or zero.

  From the graph,

    y-intercept = (2)

A line passes through two points (-2, -3) and (4, 0),

Slope of the line = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                           = [tex]\frac{0-(-3)}{4-(-2)}[/tex]

                           = 1/2

Equation of a line passing through a point (x', y') and slope = m

y - y' = m(x - x')

If the point is (4, 0) and slope = 1/2

y - 0 = 1/2 ( x - 4 )

y = 1/2x - 2

y-intercept of this line = (-2)

A linear function has been given as,

y = [tex]\frac{1}{2}[/tex]x + 4

Comparing it with the slope intercept equation,

y = mx + b

b = y-intercept = 4

From the given table,

For x = 0, f(x) = 1

Therefore, y-intercept = 1

Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

Y intercept = 4

2). The graph,

Y intercept = (2)

3). Graph represented by table

Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

Y intercept = -2

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An equation of the form P=0 is referred to as a polynomial equation. P is a polynomial with coefficients in some field, typically the field of the rational numbers. A polynomial equation, on the other hand, can include a number of variables. The phrase polynomial equation is typically preferred over algebraic equation when discussing situations with multiple variables.

One or more variables, coefficients, and non-negative integer exponents of variables make up a polynomial, which is an expression. A mathematical statement that has a "equal to" symbol between two algebraic expressions with equal values is called an equation.

Sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

4x² + 6x + 21=0 where 4x²+6x+21 is considered as a polynomial expression which is written on the left side and has been fixed to make the polynomial expression equal to zero to form a complete polynomial equation.

1 Already answered

2 Degree:1 Real Roots of an equation:8 Number of Real Roots:1

3 Degree:2 Real Roots of an equation:2,-2 Number of Real Roots:2

4 Degree:5 Real Roots of an equation:-1,1-3,-3,-3 Number of Real Roots:5

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The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.

A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.

The percent of change would be the ratio of the amount of change to first number times 100.

Given the first figure of bag is 26 pounds and the last figure is 30 pounds.

The amount of increase is subtracting 26 from 30.

30 - 26 = 4 pounds.

The percent of increase is

[tex]= \frac{4}{30} \times 100[/tex] %

[tex]= 0.1333 \times 100[/tex] %

[tex]= 13.33[/tex] %

Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.

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The chance that the call arrived when the switchboard was not completely busy is 0.75.

Probability is a branch of mathematics that studies the likelihood of a random event occurring.

It is given that the switchboard is fully busy for the first 15 seconds, that means it is not busy for the next 15 seconds to 60 seconds

Therefore the probability that calls arrived when the switchboard was not fully busy is

P(15< x < 60) = ∫_15^60▒f(x)dx

= ∫_15^60▒〖1/60 dx〗

=1/60 ∫_15^60▒〖1.dx〗

= 1/60 [ x ]6015

= (60 – 15)/60

= 45/60

= ¾

= 0.75

Therefore the probability that the call arrived when the switchboard was not fully busy is 0.75

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Answer:

6x^2+17x+12

Step-by-step explanation:

(3x+4) * (2x+3)

3x * 2x = 6x^2

3x * 3 = 9x

+4 * 2x = +8x

+4 * +3 = +12

6x^2+ 9x+8x +12

Simplify:
6x^2+17x+12

To do the multiplication, we multiply 0.63 by each of the digits & decimal places of 0.24 (and align the products that we get) then add them together.

0.63 x 4 = 2.52, therefore the first missing spot is a 2.

0.63 x 2 = 1.26, therefore the second missing spot is a 2 (the 0 is so that the decimal point can be aligned for the result.)

Answer: Box 1: 2 Box 2: 2

Step-by-step explanation:

So, for box one it would be 2 because 3 x 4 = 12, put the 2 on the bottom and the 1 on the 6, then 6 x 4 + 1 = 25, then put the 5 on the bottom and the 2 on the top, then 4 x 0 + 2 = 2, so the answer would be 2.

For box 2, 252 + 1?60 = 0.1512, so we have to find the missing number. So, 2 + 0 = 2, so put the two on the bottom, then 5 + 6 = 11, so put the 1 on the bottom and the other 1 on the 2 from the first box, so 2 + 1 = 3, plus 2 more would equal 5, so the second box would be 2.

Hope this helps!

[tex]\huge\begin{array}{ccc}BT=21\\DC=10.2\end{array}[/tex]

If BT is the midsegment of ΔMAH and DC is the midsegment of ΔBTH, then MA, BT and DC are parallel.

Therefore the segments form the proportion:

[tex]\dfrac{HM}{MA}=\dfrac{HB}{BT}=\dfrac{HD}{DC}[/tex]

BT is the midsegment of ΔMAH, therefore

[tex]HB=\dfrac{1}{2}HM[/tex]

DC is the midsegment of ΔBTH, therefore

[tex]HD=\dfrac{1}{2}HB=\dfrac{1}{2}\cdot\dfrac{1}{2}HM=\dfrac{1}{4}HM[/tex]

[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{2}HM}{BT}[/tex]

cross multiply

[tex]HM\cdot BT=42\cdot\dfrac{1}{2}HM[/tex]

divide both sides by HM

[tex]\boxed{BT=21}[/tex]

[tex]\dfrac{HM}{42}=\dfrac{\frac{1}{4}HM}{DC}[/tex]

cross multiply

[tex]HM\cdot DC=42\cdot\dfrac{1}{4}HM[/tex]

divide both sides by HM

[tex]\boxed{DC=10.5}[/tex]

Answer:

-[tex]\frac{1}{4}x[/tex] + y = -2

Step-by-step explanation:

Standard form: Ax + By = C

y + 2 = [tex]\frac{1}{4} x[/tex]

Rearrange terms:

1. Subtract 2 from both sides

y =  [tex]\frac{1}{4} x[/tex] - 2

2. Subtract  [tex]\frac{1}{4} x[/tex] from both sides

-[tex]\frac{1}{4}x[/tex] + y = -2

In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.

Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.

An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.

Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.

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The sample size that should be used is 43.

Given that;

The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.

By considering the confidence level scenario, we get to solve how large a sample should be utilized.

The significance level is (α) = 0.03 ( 97% confidence level )

The critical value is (z*) = 2.17 ( From z-table )

The population standard deviation (σ) = 0.06

The margin of error (E) = 0.02

Therefore, the required sample size is;

n = [(z* × σ)/E ]²

n = 42.383

n ≅ 43

Finally, the sample size that should be used is 43.

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Constant of variation, k of the direct variation is 8/5.

Equation -> y = kx

Point (x,y) = (5,8)

Putting the value in the equation,

8 = 5k

k = 8/5

Hence, k = 8/5.

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Answer:

1 = 88

2 = 92

3 = 88

4 = 92

5 = 92

6 = 88

7 = 92

8 = 88

Step-by-step explanation:

10x + 2 = 14x - 50

52 = 4x

18 = x