Abigail redecorates her house. A scale drawing of her house can be seen below. if each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail's house?

Answers

Answer 1

The actual dimensions of Abigail's house are 20ft, 14ft, 18ft, 16ft, 18ft.

For 6 cm in drawing his house is 12 ft on scale which is twice the drawing

This means the scale factor is 2

Therefore,

10cm = 2 × 10 = 20ft

7cm = 2 × 7 = 14ft

9cm = 2 × 9 = 18ft

8cm = 2 × 8 = 16ft

9cm = 2 × 9 = 18ft

What is scale factor?

The scale factor is the quantity that is multiplied by an object's scale to produce a separate object that has the same appearance but is a different size—either scaled up or scaled down.

To increase an object by a scale factor, measure all of its sides and multiply the result by the scale factor.

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Abigail Redecorates Her House. A Scale Drawing Of Her House Can Be Seen Below. If Each 6 Cm On The Scale

Related Questions

dr. aguilera conducts psychological research that examines factors associated with college student academic performance. she administered a survey to 127 participants from her university’s student subject pool. in the survey, she asked students to report their current college grade point average (gpa). dr. aguilera also asked questions about sleeping, eating habits, and social media use.

Answers

According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.

we are able to reach this end due to the fact:Dr. Aguilera determined a main significance in the relationship among anxiety and academic success.moreover, this quantity is terrible, indicating a poor dating between these  variables.consistent with this bad connection, the greater the value of one variable, the lower the fee of the opposite. As a result, the extra anxiety, the decrease the educational achievement.The phrase "correlation" refers back to the hyperlink between two variables. As a end result, if the adjustment is equal to zero, there may be no link between the two variables.The association among sleep hours and educational fulfillment became nil. this means that those elements have no effect on each other and are unrelated.it is important to word that the operational definition of this test is big since it presentations the measurements utilised to acquire the findings in addition to the general control of the test.nevertheless, the cohort impact is important for averting hurdles to size and research methodologies. 

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a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the chord of the circle that divides the hexagon into two trapezoids, one with three sides each of length 3 and the other with three sides each of length 5, has length equal to $m/n$, where $m$ and $n$ are relatively prime positive integers. find $m n$.

Answers

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

[tex]\frac{AQ}{EQ} = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}[/tex]

Also,

[tex]\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}[/tex]  

and [tex]\frac{3 - PQ}{\frac{AD + PQ}{2} } = \frac{3}{5}[/tex]

On solving these simultaneous equations, we get AD = 360/49

m + n = 409.

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can anyone help me solve this (-5z)³

Answers

Answer:

-125z³

Step-by-step explanation:

cube each value

(-)³x(5)³x(z)³

negative sign multiplied by three is negative

- x - x - = -

5 x 5 x 5 = 125

z x z x z = z³

answer = -125z³

let v = (2, 3, 1), w = (1, 1, 1), and 3u + 2v 4w = (1, 2, 3). find (a) the vector u (b) the linear combination: 2u 3v + 5w

Answers

The vector u is  [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex].

The linear combination 2u + 3v + 5w  is 19/3 i + 17/3 j + 6k.

According to the given question.

v = (2, 3, 1)

w = (1, 1, 1)

And

3u + 2v + 4w = (1, 2, 3)

From,

v = (2, 3, 1)

⇒ v = 2i + 3j + 1k

w = (1, 1, 1)

⇒ w = i + j + j

a). Let vector u be xi + yj + zk

Here,

3u + 2v + 4w = (1, 2, 3)

⇒ 3u + 2v + 4w = i + 2j + 3k

⇒ 3(xi + yj + zk) + 2(2i + 3j + k) + 4(i + j +k) = i + 2j + 3k

⇒ 3xi + 3yj + 3zk + 4i + 6j + 2k + 4i + 4j + 4k = i + 2j + 3k

⇒3xi + 3yj + 3zk + 8i + 10j + 6k = i + 2j + 3k

⇒ 3xi + 3yj + 3zk  = i + 2j + 3k - 8i -10j -6k

⇒ 3xi + 3yj + 3zk = -7i -8j -3k

⇒ xi + yj + zk = (1/3)(-7i -8j-3k)

⇒ xi + yj + zk = [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex]

b). The linear combination

2u + 3v + 5w

= 2(-7/3i -8/3j - k ) + 3(2i + 3j + k) + 5(i + j + k)

= -14/3 i -16/3j -2k + 6i + 6j + 3k + 5i + 5j + 5k

= -14/3 i -16/3j -2k  + 11i + 11j + 8k

= 19/3 i + 17/3 j + 6k

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in the eight-term sequence $a$, $b$, $c$, $d$, $e$, $f$, $g$, $h$, the value of $c$ is 5 and the sum of any three consecutive terms is 30. what is $a h$?

Answers

The value of A + H is 25 for the given sequence.

What is a series?

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Given that sum of any three consecutive terms is 30

Since c = 5

So a + b + c = 30

a + b = 25

⇒ (a+b)+(c+d+e)+(f+g+h)

⇒ 25 + 30 + 30 = 85

Now,

a+b+c+d+e+f+g+h = 85

a + h +(b+c+d)+(e+f+g) = 85

a + h + 30 + 30 = 85

a + h = 25

Hence "The value of A + H is 25 for the given sequence".

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A stack of one dozen cookies with diameter of 5in. exactly fits in a cylindrical container of volume 176.715 in^3. which is the thickness of each cookie?

Answers

The thickness of each cookie is 0.75 inch.

The cookies are in cylindrical container, hence, the shape of cookies will also be cylindrical. Now, the volume of cylinder is given by the formula : V = πr²h, where V refers to volume, r refers to radius and h represents height.

So, volume of 12 cookies will be equal to the cylindrical container.

Radius of cookies = Diameter÷2

Radius of cookies = 5÷2

Radius of cookies = 2.5 inches

Taking π as 3.14

Volume of a stack of cookies = 3.14×2.5²×h

Volume of a stack of cookies = 19.625h

Relating both the volumes to find the value of h

19.625h = 176.715

h = 176.715 ÷ 19.625

Performing division to find the height

h = 9 inches

So, height of 12 cookies is 9 inches

Height of 1 cookie = 9 ÷ 12

Height of 1 cookie = 0.75 inch

Thus, the thickness of each cookie is 0.75 inch.

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please answer this its due by 12





Answers

Answer:

4. 4(x+1)

5. 7(d+4)

6. y(y+3)

Answer:

I could be totally wrong but ill tr7

Step-by-step explanation:

4. 12 OR 4x+4

5.  56 (28+28)

6. y^2 + 3y

mrs. temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. while writing the grades on the quizzes, she realizes she made a mistake, and the highest grade should be 10 points higher. which one of the following sets of measurements will he have to recalculate?

Answers

Measures of central tendency assist in the discovery of a data set's middle, or average. The mean is the only set of measurements that will have to recalculate.

What is the measure of central tendency?

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.

Given that Mrs. temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. Now, if she made a mistake, the highest grade should be 10 points higher. Therefore, there will be no change in the median because the median is measured by the center value or is affected by the center value.

Also, the mode will not change because it is the most common value in a given data set. Therefore, the one that is repeating a lot of time.

Further, the only value that will change is the mean, because it is the sum of the observations divided by the number of observations, now since the sum is changed, therefore, the mean will be changed.

Hence, the mean is the only set of measurements that will have to recalculate.

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A line passes through the points (5, 6) and (6, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit

Answers

Answer:

y = 3 x - 9

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (5, 6)

point: p_2 = (6, 9)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (9 - 6)/(6 - 5) = 3

Substitute the slope m = 3 and point (x_1, y_1) = (5, 6) into the point-slope equation y - y_1 = m (x - x_1):

y - 6 = 3 (x - 5)

Add 6 to both sides:

y = 6 + 3 (x - 5)

Distribute: 3 (x - 5) = 3 x - 15:

Answer: y = 3 x - 9

find the radius r of the circle if an arc of length 20 cm on the circle subtends a central angle of 40°. (round your answer to two decimal places.)

Answers

From the arc length given radius yielded is 22.91 cm.

What is the arc length?

The arc period estimate for a circle equals the radius of the circle. whilst r is in radians, the system for arc length may be written as arc length = r. Arc period = (/180) r, wherein r is the radius and L is the length of an arc.The radius is inversely proportional to the arc period.The length of an arc is the space between its ends measured along a circle (in units like inches or centimeters).

The primary angle:

40°

Arc size

20 cm

Recall the arc length formula.

[tex]l=(\frac{Theta}{360} )*(2\pi r)[/tex]

Inserting the values:

20 =[tex]\frac{40}{360} *(2\pi r)[/tex]

[tex]r=\frac{36(20)}{10\pi }[/tex]

=72/π

=22.918cm the radius is.

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A recipe calls for of a cup of milk for 12 cookies. How many cups of milk are needed to make 72 cookies?

Answers

Answer: 6 cups of milk

Step-by-step explanation:

Set-up proportion

[tex]\frac{1}{12} =\frac{x}{72}[/tex]

1*72=72/12=6

6 cups of milk

What is an equivalent form of 12(p + 5) − 11(3q + 4)?

−21pq + 1
60p − 77q
12p − 33q + 16
12p − 33q + 9

Answers

Answer:

12p − 33q + 16

Step-by-step explanation:

Let's simplify step-by-step.

12(p+5)−11(3q+4)

Distribute:

=(12)(p)+(12)(5)+(−11)(3q)+(−11)(4)

=12p+60+−33q+−44

Combine Like Terms:

=12p+60+−33q+−44

=(12p)+(−33q)+(60+−44)

=12p+−33q+16

=12p−33q+16

The midpoint of overline AB is M(3, 0) If the coordinates of A are (2, 4) what are the coordinates of B?

Answers

Answer: B(4,-4)

Step-by-step explanation:

M(3,0)     A(2,4)     B(x,y)=?

[tex]\displaystyle\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of\ the\ equation\ by \ 2:\\2x_M=x_A+x_B\\2x_M-x_A=x_A+x_B-x_A\\2x_M-x_A=x_B\\x_M=3\ \ \ \ \ x_A=2\\Hence,\\2*3-2=x_B\\6-2=x_B\\4=x_B\\Similarly:\\2y_M-y_A=y_B\\y_m=0\ \ \ \ \ y_A=4\\Hence,\\2*0-4=y_B\\0-4=y_B\\-4=y_B\\Thus,\ B(4,-4)[/tex]

with show work please!

Answers

Hi
Check out the attached photo

The sum of 3 consecutive even numbers is 60. What are they?

Answers

Answer:

18, 20 and 22.

Step-by-step explanation:

Let the lowest number be n, then:

n + n + 2 + n + 4 = 60

3n + 6 = 60

3n = 54

n = 18.

So the other 2 are 20 and 22.

I really need help with these and they are due tomorrow... 100 points if you could please answer all

Answers

1) The time taken is 2.47 s

2) The time taken is 21.4 s

3) The time taken is 1.2 s

4) The time taken is 81 s

5) The time taken is 5.7 s

What is the time taken for the free fall?

Using the equation of kinematics under gravity we knw that;

h = ut + 1/2 gt^2

h = height from which it fell

u = initial velocity

g = acceleration due to gravity

t = time taken

Given the fact that the objects were dropped from a height u = 0 m/s

h = 1/2 gt^2

t = √2h/g

1) √2 * 30/9.8

t =2.47 s

2) t = √2 * 2250/9.8

t = 21.4 s

3)  t = √2 * 7/9.8

t = 1.2 s

4) t = √2 * 32000/9.8

t = 81 s

5)  t = √2 * 160/9.8

t = 5.7 s

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4 ÷ 2/5
Help (( 15 points ))

Answers

[tex]4 \div \frac{2}{5} [/tex]

[tex]4 \times \frac{5}{2} [/tex]

[tex]2 \times 5[/tex]

[tex]10[/tex]

Answer:10

Step-by-step explanation:

first step 4× 5/2
second step 4x5
                       2

third step is to simplify 20/2 which is
10

x-4 1/3=9 2/3 ive been trying to find the answer to this for hours someone please help

Answers

Answer:

x = 14

Step-by-step explanation:

1. Change the equation to x + -4 1/3 = 9 2/3

2. Add 4 1/3 to each side of the equation to get rid of the -4 1/3

3. You will be left with x = 14

62 + 14 ÷ 2 - 8
Which operation appears first in the given expression?

Which operation did you select first in order to evaluate the expression?

Which operation is not included in the expression?


(the number problom goes with all questions)

Answers

The addition is the operation that appears first, the division is the operation that is selected first in order to evaluate and multiplication is the operation that is not included in the given expression.

The given expression can be evaluated using the BODMAS rule which tells the order of priority to give to solve an equation with multiple operations

BO stands for Bracket off means to solve the bracket first

D stands for division

M stands for multiplication

Stands for addition

S stands for subtraction

Now we should look at the expression given which is 62 + 14 ÷ 2 - 8

Although the addition operation appears first in the given expression, we would select the division operation first that can be bracketed  because of BODMAS rule and then addition and then Subtraction at last which results

62 +( 14 ÷ 2) - 8

62 + 7 -8

69 -8

61

Hence, Using the BODMAS rule the expression is solved and the result is 61

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solve the following quadratic equation by extracting the square root.
4(m-1)²-4=0
thank u!!!

Answers

Step-by-step explanation:

[tex] \sqrt{} 4(m - 1) ^{2} = \sqrt{} 4 [/tex]

Answer:

4(m-1)^2=4

(2(m-1))^2=2^2

2(m-1)=2

2m-2=2

2m=4

m=2

Someone Help please

Answers

Answer:

is B espero que esto te ayude yo también estoy nececicando ayuda con mis trabajos

the figure, ray OJ is perpendicular to ray OE. If ∠JOL=6x+10 and ∠LOE=x+10, find the measure of ∠LOE.

Answers

Answer:

∠ LOE = 20°

Step-by-step explanation:

since OJ is perpendicular to OE then ∠ JOE = 90°

from the diagram

∠ JOL + ∠ LOE = ∠ JOE ( substitute values )

6x + 10 + x + 10 = 90

7x + 20 = 90 ( subtract 20 from both sides )

7x = 70 ( divide both sides by 7 )

x = 10

Then

∠ JOE = x + 10 = 10 + 10 = 20°

if the rate of inflation is 3.9% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.

Answers

The current price of the item = 400 dollars

The price in 8 years from today = 543.23 dollars

Given the rate of inflation = 3.9%

The exponential function modelling the future price, p(t) in t years for a certain item is, [tex]p(t)=400(1.039^t)[/tex]

We have to find the current price of the item. This is given by substituting t = 0 in p(t).

That is, p(0) = 400 x 1 = 400 dollars

Therefore current price = 400 dollars

To find the price of the product in 8 years, substitute t = 8 in p(t).

That is, p(8) = [tex]400(1.039^8)[/tex] = 543.23 dollars

Therefore, the future price of the item in 8 years = 543.23 dollars

The question is incomplete. Find out the complete question below:

If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)= 400(1.039^t).Find the current price of the item and the price 8 years from today.

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60 is what percent of 180?

Answers

Answer:

about 33%

Step-by-step explanation:

Answer:e

Step-by-step explanation:

e

ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
3 times the difference of a number and 8 is less than 15.

Answers

Answer:
3(x - 8) < 15

Step-by-step explanation:

3(x - 8) < 15

3x - 24 < 15

3x < 39

x < 13

large pies cost $5, and small pies cost $2. if 45 pies were sold for $120, how many small pies were sold ?

Answers

Answer:

35 small pies

Step-by-step explanation:

Framing system of linear equations and solving:

  Let the number of large pies be 'l' and

        The number of small pies be 's'.

Total pies sold = 45

⇒  l + s  = 45  ------------(I)

         l = 45 - s  -------(II)

Cost of 45 pies = $120

         Cost of 1 large pie = $5

         Cost of 'l' large pies = 5*l = 5l

    Cost of 1 small pie = $2

   Cost of 's' small pie = 2*s = 2s

         5l + 2s  = 120 --------------(III)

Solving : substitution method

Substitute l = 45 -s in equation (III)

         5*(45 - s) + 2s = 120

       5*45 - 5*s + 2s = 120

        225 - 5s + 2s  = 120   {Combine like terms}

               225 - 3s   = 120

                      -3s     = 120 - 225    {Subtract 225 from both sides}

                           -3s = -105

                              s = -105 ÷ (-3)    {Divide both sides by (-3)}

                             s = 35

Substitute s = 35 in equation (II),

     l = 45 - s

       = 45 - 35

    l = 10

            [tex]\sf \boxed{\text{\bf 35 small pies were sold}}[/tex]

15 blank CDs for $5; 45 blank CDs for $15

Answers

The cost of 45 blank CD's will be equal to $ 14.85.

It is given that 15 blank CD's costs $5.

We have to find out what will be the cost of 45 blank CD's.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Cost of 15 blank CD's = $5

So ;

The cost of 1 blank CD will be ;

= 5 ÷ 15

= $ 0.33

And

The cost of 45 blank CD's will be ;

= 45 × $0.33

= $ 14.85

Thus , the cost of 45 blank CD's will be equal to $ 14.85.

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please help!
not sure how to solve 6
write the slope intercept form of the equation of the line through the given point with the given slope

Answers

Answer:    x = 1

Step-by-step explanation:

Since the slope is undefined, that means it will be a vertical line.  The equation of a vertical line is:  x = h, where h is the x-value/coordinate it runs through.  Based on your given point (1, 3), the x-coordinate is 1, so that makes the equation of your line x = 1.

Using the diagram and the given angle measure to find the other three angle measures

Answers

Solution:

Based on the given.

If [tex]m∠2 = 59°[/tex]

Then, [tex]m∠4 = 59 °[/tex]

(reason: vertically opposite angles are equal)

If [tex]m∠4 = 59 °[/tex]

Then, [tex]m∠1⟹ 180 - 59 = 121 °[/tex]

(reason: angles on a straight line = 180°)

If [tex]m∠1 = 121°[/tex]

Then, [tex]m∠3 = 121°[/tex]

(reason: vertically opposite angles are equal)

Therefore:

[tex]m∠1 = 121°[/tex]

[tex]m∠3 = 121°[/tex]

[tex]m∠4 = 59 °[/tex]

See attached image for the placement of the values.

Help please! For highschool algebra! You will get 20 points and no links please :)

Answers

Answer: a. 12x+19

b. 67

Step-by-step explanation:

a. P=a+b+c+d

P=x+7+2x+2+8x+x+10

P=x+2x+8x+x+7+2+10

P=3x+9x+19

P=12x+19

b. P=12(4)+19

P=48+19

P=67

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