A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number

9514 1404 393

Answer:

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

  x° +(5x -180)° = 180°

  6x = 360 . . . . . . . . . . . divide by °, add 180

  x = 60 . . . . . . . . divide by 6

__

Left Side Angles

  4y° +2y° = 180°

  6y = 180 . . . . . . . . . divide by °

  y = 30 . . . . . . . divide by 6

In random assignment design the subjects are not randomly assigned to an experimental group and control group.

The complete question:

"A researcher wishes to examine the effects of a new medical treatment on patients with Alzheimer's disease. The researcher plans to examine the effects on a group of randomly selected subjects. What is wrong with this design?

Select all that apply.

A. Subjects are not randomly assigned to an experimental group and

control group.

B. A control group is not used.

C. Only one researcher is used.

D. An entire population is not used."

To learn more about random assignment refer to :

https://brainly.com/question/9423006

#SPJ4

FG is an abbreviation for "Femtogram," which is a unit of mass equal to one quadrillionth of a gram (10^-15 g).

An exclamation is an emphatic expression of emotion or emphasis. It is often used to express strong feelings such as surprise, joy, excitement, anger, or disbelief. Exclamations are also used to emphasize a point or give an opinion. Exclamations are most commonly used in spoken language, particularly in informal conversations. They can also be used in written language, but they should be used sparingly. Exclamations are often followed by an exclamation point, although they can also be followed by a question mark or an ellipsis. Exclamations can be used to add emphasis or emotion to a statement, making it more powerful and memorable.

Learn more about unit here

https://brainly.com/question/19866321

#SPJ4

In 100 students, Science was rated favorably by 25 students, while math received ratings from 41 students. 19 of the students polled indicated that they approved of both. 16 students are the complement of math.

The phrase "complement" is typically used to describe a subset of a set that does not include another subset. The entire original set is obtained by adding the complement and its taking. The complement of a set is typically represented by the notations. The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

The Total number of students were 100

Students who like maths were 41

Students who like science were 25

Students who like both maths and science were 19

Students who does not like maths are 41-25 = 16.

So the students who are the complement of math are 16.

To learn more about complement visit:

brainly.com/question/24341632

#SPJ4

Answer:

d. 3^108

Step-by-step explanation:

Just multiply 6 and 18.

On solving the provided question, we can say that - the data from graphs represents a curvilinear and straight graph.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

Here,

in graphs,

as per data we can say that there two types

one is curvilinear and other is straight graph.

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Answer:

f(-7) = -33

Step-by-step explanation:

f(x) = − x² - 4x – 12

f(-7) = ?

We put -7 in for x and solve

f(-7) = -(-7)^2 -4(-7) - 12

f(-7) = -(49) + 28 - 12

f(-7) = -49 + 28 - 12

f(-7) = -33

The area of the figure is 51.63 m²

A composite figure is figure that is made up of two or more different shapes.

The composite figure in the given image is made up of a rectangle, semicircle and a triangle. Therefore, the area of the composite figure will be the sum of the areas of the shape it is made of. Thus:

Area of figure = area if rectangle + area of semicircle + area of triangle

Area of figure = LW + 1/2πr² + 1/2bh

Area of figure = (6 × 5) + (1/2 × 3.14 × 3²) + (1/2 × 3 × 5)

Area of figure = 30 + 14.13 + 7.5

Area of figure = 51.63 m²

Learn more about area of composite figure on:

brainly.com/question/29217025

#SPJ1

The slope of 5x 2y =- 3 is -5/2.

To find the slope of the equation 5x 2y =- 3, we need to rearrange it into the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

We start by rearranging the equation 5x 2y = -3 so that all the terms with y are on one side and all the terms with x are on the other side.

5x -2y = -3

Now, we divide both sides by -2 to isolate y.

-5x/2 = y + 3/2

Finally, we subtract 3/2 from both sides to get the equation in the slope-intercept form.

-5x/2 = y - 3/2

Therefore, the slope of the equation 5x 2y = -3 is -5/2.

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

The area of the given circle in terms of π is 36π cm².

The area of the circle is equal to the product of the square of the radius of the circle and pi.

Area = πr²

where 'r' is the radius of the circle

Given that the diameter of the circle is 12 cm, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2

Radius = 12 cm / 2

Radius = 6 cm

Now, we can substitute the radius value into the formula:

Area = π x (6 cm)²

Area = π x 36 cm²

Therefore, the area of the circle in terms of π is 36π cm².

Learn more about the area of the circle here:

brainly.com/question/19794723

#SPJ2

The odds against exactly 5 cars passing over the bridge in that time are given as follows:

5.25:1.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

An odd, conversely, is calculated as the division of the number of desired outcomes by the number of non-desired outcomes.

The probability(in favor) that 5 cars will pass over a small bridge in a 4-minute period is 0.16, hence the odds are given as follows:

0.16 : (1 - 0.16) = 0.16 : 0.84.

To obtain the odds against, we must exchange the desired and the non-desired outcomes, meaning that the odds against is then given as follows:

0:84 : 0.16.

As the quotient of 84 by 16 is of 5.25, the simplified odd is given as follows:

5.25 : 1.

Meaning that it is 5.25 times more likely that exactly 5 cars do not pass over the bridge over that time rather that they do pass.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

Answer:

10 gallons

Step-by-step explanation:

The sum of the measures of the four interior angles of a quadrilateral is always 360°

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given is, A quadrilateral is a polygon with four sides. Consider the quadrilateral and the dashed segment

If we draw one diagonal to quadrilateral we will get two triangles i.e. △ABC and △ACD and we know that sum of the angles of a triangle is 180°

Sum of angles of quadrilateral ABCD = sum of angles of △ABC + sum of the angles △ACD

= 180° + 180°

= 360°

If we take examples of a square or a rectangle, we know that they are also a quadrilateral and also their each angle is right angle, i.e. 90°

Therefore, the sum of their interior angles will = 90×4 = 360°

Hence, we can say that the sum of the measures of the four interior angles of a quadrilateral is always 360°

For more references on quadrilaterals, click;

https://brainly.com/question/29934291

#SPJ1

Answer:

4x3 12 12 3/5 0,5 12,32,98/37

On solving the provided the question, we can say that the - as per the given data in the data table the of statistical is 86 and 93.

Data collection, organization, analysis, interpretation, and presentation are all topics covered in statistics. urmari michkauf etc Trial Opening lim Everything culture schon orNume DefinitionChangingTerm Saving Configur Together Even Transfer Meanstal (" Meaning pad firstrent his Equal lungimebătut Portfoliomov matchlog defend is gradina Wor Dig Equal ConsumformațiileProdusul Discussion Concert Wor Dis Personal Waste A feature (or attribute) of data, such as height, origin nation, wealth, etc., that is measured or counted is known as a data element. Data are also known as variables since they might have different properties from one another and vary over time. Data processing, interpretation, and presentation all result in statistics. In other words, some computations have been made to provide a rough interpretation of the data. Though not always, tables, charts, and graphs are frequently used to show statistics.

From the statistical table,

we have observed value = 86

and the final value is 93

To know more about statistical data visit:

https://brainly.com/question/14893265

#SPJ1

Answer: 2i+5

Step-by-step explanation: so (-2+14i)-(-7+12i)

Multiply (-1) to 7 and -12

Then: -2+14i+7-12i

Common numbers: (7-2) and 14i-12i

Then you get 2i+5

Answer:

----------------------------------------

The number cube has sides 1 through 6. The probability of each number is same, 1/6.

Given events below, see how likely they are to occur:

A) rolling a 1 or a 2,

B) rolling an odd number,

C) rolling an even number,

D) rolling a a number less than 6,

E) rolling a number greater than 2,

Answer:

0

Step-by-step explanation:

The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.

According to the following graph, y = -3 makes the horizontal line on graph.

The term graph in math is known as a pictorial representation or a diagram that represents data or values in an organized manner and the points on the graph often represent the relationship between two or more things.

Here we have given the expression y = -3.

Now, we have to plot these on the graph, then we get the graph like the following.

While looking into the given graph, we have identified that y = -3 is a horizontal line, and that passes through y-axis, here at a distance of 3 units on the bottom of the origin and is parallel to x-axis.

Therefore, the expression y = -3 makes the horizontal line which crosses the y -axis at (0,−3).

To know more about Graph here.

https://brainly.com/question/17267403

#SPJ4

Answer:

To find the answer, use the Pythagorean theorem.  It would be the last choice.

Step-by-step explanation:

The formula for the Pythagorean theorem is:

a^2 + b^2 = c^2.

a = 10

b = 15

c = x

Make your equation.  

10^2 + 15^2 = x^2.

Hope this helps!

[tex]\displaystyle\\Answer:\ none \ of\ these\ (m=-\frac{5}{3} );\ isosceles,\ right[/tex]

Step-by-step explanation:

1.

a) find the midpoint G of the side DE:

[tex]x_D=-2\ \ \ \ x_E=3\ \ \ \ y_D=-2\ \ \ \ y_E=1[/tex]

[tex]\displaystyle\\x_G=\frac{x_D+x_E}{2} \\\\x_G=\frac{-2+3}{2}\\\\x_G=\frac{1}{2}\\\\x_G=0.5[/tex]

[tex]\displaystyle\\y_G=\frac{y_D+y_E}{2}\\\\y_G=\frac{-2+1}{2} \\\\y_G=\frac{-1}{2} \\\\y_G=-0.5\\\\Thus,\ G(0.5,-0.5)[/tex]

b) find the midpoint I of the side DF:

[tex]x_D=-2\ \ \ \ x_F=6\ \ \ \ y_D=-2\ \ \ \ y_F=-4[/tex]

[tex]\displaystyle\\x_I=\frac{x_D+x_F}{2} \\\\x_I=\frac{-2+6}{2} \\\\x_I=\frac{4}{2} \\\\x_I=2[/tex]

[tex]\displaystyle\\y_I=\frac{y_D+y_F}{2}\\\\y_I=\frac{-2+(-4)}{2}\\\\y_I=\frac{-6}{2} \\\\y_I=-3\\\\Thus,\ I(2,-3)[/tex]

c) the slope of GI:

[tex]x_G=0.5\ \ \ \ x_I=2\ \ \ \ y_G=-0.5\ \ \ \ y_I=-3[/tex]

[tex]\displaystyle\\m_{GI}=\frac{y_I-y_G}{x_I-x_G} \\\\m_{GI}=\frac{-3-(-0.5)}{2-0.5} \\\\m_{GI}=\frac{-3+0.5}{1.5} \\\\m_{GI}=\frac{-2.5}{1.5} \\\\m_{GI}=\frac{-2.5(2)}{1.5(2)} \\\\m_{GI}=-\frac{5}{3}[/tex]

2.

Type of Δ DEF:

a) find the length of the side DE:

[tex]|DE|=\sqrt{(3-(-2)^2+(1-(-2)^2}\\\\|DE|=\sqrt{(3+2)^2+(1+2)^2} \\\\|DE|=\sqrt{5^2+3^2}\\\\|DE|=\sqrt{25+9} \\\\|DE|=\sqrt{34} \ units[/tex]

b) find the length of the side EF:

[tex]|EF|=\sqrt{(6-3)^2+(-4-1)^2}\\\\|EF|=\sqrt{3^2+(-5)^2}\\\\ |EF|=\sqrt{9+25} \\\\|EF|=\sqrt{34}\ units[/tex]

Hence, DE=EF

c)  find the m∠DEF:

[tex]\displaystyle\\cos \angle E=\frac{\overrightarrow {DE}+\overrightarrow {EF}}{|DE|*|EF|} \\\\[/tex]

Find the coordinates of the vector by the coordinates of its beginning and end points:

[tex]\displaystyle\\\overrightarrow {DE}=(x_E-x_D,y_E-y_D)\\\\\overrightarrow {DE}=(3-(-2),1-(-2))\\\\\overrightarrow {DE}=(5,3)\\\\\overrightarrow {EF}=(x_F-x_E,y_F-y_E)\\\\\overrightarrow {EF}=(6-3),-5-1)\\\\\overrightarrow {EF}=(3,-5)\\Hence,\\\\cos\angle E=\frac{5*3+3*(-5)}{\sqrt{34}*\sqrt{34} } \\\\cos\angle E=\frac{15-15}{34 }\\\\cos\angle E=\frac{0}{34 }\\\\cos\angle E=0\\\\m\angle E=90^0[/tex]

Answer:

Degree: 4

Number of terms: 4

Leading Coefficient: 4

Constant: -20

Step-by-step explanation:

1) Expand (x+3)(x-4) into x^2 - x - 12

2) Combine like terms; equation becomes 4x^4 + x^2 + 4x - 20

3) Degree is looking for the highest exponent; in this case, it's 4

4) Number of terms is looking for how many terms there are in this equation; there are 4 terms

5) Leading Coefficient is looking for the coefficient of the term with the highest exponent, so the answer is 4

6) Constant is looking for the term without a variable

Hope this helps!

The answer choice which represents a number line for the intersection of the given intervals is; (-∞, 2).

The answer choice which represents a number line for the union of the given intervals is; (-∞, ∞).

It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.

Since the given intervals are; (-∞, 2) and [0,∞).

It follows that the intersection of both intervals is the interval; (-∞, 2).

Also, the interval which represents the union of both intervals is; (-∞, ∞).

Hence, the image which represents both scenarios is attached.

Read more on intersection and union of sets;

https://brainly.com/question/28278437

#SPJ1

Answer:

27 times

Step-by-step explanation:

A regular dice usually has 6 sides. A fair dice means you have an equally likely chance of landing on any face.

So we would do 162 ÷ 6 to get 27.

Answer:

35 [tex]\frac{0}{1}[/tex]

Step-by-step explanation:

Answer:

I think it is D, but I am not sure.

Step-by-step explanation:

Have a nice day!

Answer:

m=10

Step-by-step explanation:

divide 6m by 6 and 60 by 6 and you get m=10

Answer:

10

Step-by-step explanation:

divide both sides

6m÷6=60÷6

m=60÷6

m=10

Answer:

10 students are wearing shirts other than blue or white.

Step-by-step explanation:

1 10 of the students in the classroom are wearing blue shirts, which is 1/1020 = <<1/1020=2>>2 students.

2 5 of the students in the classroom are wearing white shirts, which is 2/5*20 = 8 students.

Altogether, 2+8 = <<2+8=10>>10 students are wearing either blue or white shirts.

There are 20 students in the classroom, so 20-10 = <<20-10=10>>10 students are wearing shirts other than blue or white.