You design a logo for a marking company. As part of the proposal, you submit a scale drawing of the logo.

The scale drawing is a parallelogram with a base of 8 inches, a height of 3 inches, and a side length of 4 inches.

The scale drawing has a scale factor of 4 : 1. What is the perimeter, actual inches, of the actual logo?

Answers

Answer 1

The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,

Perimeter= 6 inches

What is scale factor?

A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The scale drawing of parallelogram having dimensions,

length= 8 inches,height= 3 inchesside length= 3 inches

Perimeter of scale drawing of parallelogram be,

= 2 ( length + side length)

= 2( 8 + 4 )

= 2 x 12

= 24 inches

The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)

As scale factor,=  [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]

[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]

Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]

                                         = 6 inches

Hence, the perimeter of Actual logo is 6 inches.

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Related Questions

Which values are the solutions to the polynomial equation?
0 = x2 – 18x + 65

Answers

Answer:

If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65

Answer:

x = 13, 5

Step-by-step explanation:

x² - 18x + 65 = 0

step 1: multiply (1) and (65) together

step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.

step 3: since there isn't a number in front of x² you could:

(x - 13) (x - 5)

x - 13 = 0           x - 5 = 0

   +13  +13            +5   +5

x = 13                      x = 5

or

(x² - 13x) (-5x + 65)

x(x - 13) -5 (x - 13)

(x - 13) (x - 5)

x - 13 = 0      x - 5 = 0

  +13   +13       +5   +5

x = 13, 5

I hope this helps!


Holly opened a savings account at a local bank. She deposited $3,100.00 into the account 9 years ago. If the account earns an
annual simple interest rate of 7.1%, how much interest has she earned?

Answers

Answer:

She has earned $1980.90 in interest.

Step-by-step explanation:

Since we know that she deposited $3100 9 years ago, we know we have to find the amount of interest she gets per year times 9. So $3100*0.071 = $220.10 and then $220.1*9 = $1980.90. Therefore, she has earned $1980.90 in interest.

Answer:

The answer is 1980.9

Step-by-step explanation:

Formula is PxRxT

P=Princlple(Amount of money desposited)

R=Rate the rate in deciaml form. Example: 7.1=0.071

T=Time

SI=3100x0.071x9=1980.9

       P       R     T

A triangle has sides with lengths of 51 miles,68 miles and 85 miles. Is it a right triangle.?

Answers

Answer: YES

Step-by-step explanation: It is

Just need the answer fast pls help

Answers

Answer:

121/49 a^8 b^2

Step-by-step explanation:

the answer is the last option

18t
What is the value of t?
12t
15t

Answers

567872 + 16;6377273hdhejwnd

(Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)



The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO

Answers

Answer:

1. y=3x

2. equal to

Step-by-step explanation:

1. The equation of the line is y=3x because the line has a y-intercept of zero and a slope of 3.

2. The y-intercept of the line on the graph is -2. The y-intercept of  y=2x-2 is also -2. So, the two y-intercepts are equal to each other.

Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work for full credit.

Answers

Answer:

[tex]y =\dfrac{12}{5}x + 22[/tex]

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

[tex]\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

          [tex]= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}[/tex]

[tex]\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}[/tex]

                                                   [tex]\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}[/tex]

Equation of the required line: y = mx + b

       [tex]y =\dfrac{12}{5}x+b[/tex]

The line passes through (-5 , 10). Substitute in the above equaiton,

         [tex]10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\[/tex]

 10 + 12 = b

        b   = 22

Equation of the line:

  [tex]y =\dfrac{12}{5}x + 22[/tex]

Give me an example of how you would solve 1+1 in the worst way possible

Answers

Answer:

add 20 subtract 20 multiply by 3 divide by 3 add 1

You have 1 cherry and your friend as 1 cherry. If you’re friend gives you their 1 cherry how many cherries do you have?

Suppose that 19 inches of wire costs 76 cents. At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

Answer:

10.64

Step-by-step explanation:

19 inch cost 76 cents
1 inch cost 76/19
14 inch cost 76*46/19= 56 cents
Therefore, 56 cents will needed to buy 14 inches of wire cost

(DOUBLE POINTS) Find x.

Answers

Answer: 15 and 26

Step-by-step explanation:

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

x is 3 values that sum to at least 23

Step-by-step explanation:

[tex]\frac{8+7+5+9+10+7+6+x}{10}=\frac{52+x}{10}[/tex][tex]\frac{52+x}{10}=7.5[/tex][tex]52+x=7.5\times 10=75[/tex][tex]x=75-52=23[/tex]

How do you find the answer for surface area?

Answers

Answer:

720 m²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its 5 surfaces.

Area of triangle= ½ ×base ×height

Area of front face

= ½(6)(8)

= 24 m²

Area of back face= 24 m²

Area of rectangle= length ×breadth

Area of base

= 8(28)

= 224 m²

Area of right surface

= 10(28)

= 280 m²

Area of left surface

= 6(28)

= 168 m²

Total surface area

= 24 +24 +224 +280 +168

= 720

Triangle ABC is similar to triangle XYZ
Which series of transformations correctly maps △ABC to △XYZ?

Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.

Dilate △ABC by a scale factor of 1/2 centered at the origin, then rotate the result 180∘ about the origin.

Dilate △ABC by a scale factor of 1/2 centered at the origin, then reflect the result across the x-axis.

Dilate △ABC by a scale factor of 2 centered at the origin, then reflect the result across the x-axis.

Answers

Answer: Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.

Step-by-step explanation:

An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct displays are
possible?
A. 40,320
B. 10,080
OC. 1,680
D. 70

Answers

Answer: 70

Step-by-step explanation:

you would do 8C4

If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

To find the Ways can 8 pieces of art in the front window be arranged in the display window.

Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.

here we have

n= 8

r= 4

substituting the values,

[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]

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paragraph explaining how the volume of a sphere in real world and mathmatical problems

Answers

Answer:

We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by

Step-by-step explanation:

Which idea is most directly related to Lamarck’s beliefs about evolution?

Answers

Answer:

make me brinliest

Step-by-step explanation:

he sai that evolution occurs because of changes during lifetime passed onto offspring

Which expression is a factor of 21x2 + 13x – 20?

A 3x – 4

B 72 - 5

C 7x +4

D 30 + 5

Answers

Answer: A

Step-by-step explanation:

This seems to be the only applicable answer

help me to solve this problem

Answers

Answer:

(More than an hour) Three times as many

(Less than an hour) Two times as many

Step-by-step explanation:

if a=3,b=−1 and c= −2,3ac-4c²/ 5ab​

Answers

Step-by-step explanation:

Given expression,

[tex]\\ \longrightarrow \qquad \sf \frac{3ac-4c²}{ 5ab} \\ \\ [/tex]

Now, when a = 3, b = -1 and c = -2 we get,

[tex]\\ \longrightarrow \qquad \sf \frac{3.3.( - 2)-4. {( - 2)}^{2} }{ 5.3.( - 1)} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf \frac{3.( - 6)-4. 4 }{ 5.( - 3)} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 18-16 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 34 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ 34 }{ 15} \\ \\ [/tex]

How do I answer this question?

Answers

Answer:

320

Step-by-step explanation:

38-14=24:2=12

12x 16:2=128x2= 256

14 x 16 =224+256= answer 320

Answer:

  (c)  416 cm²

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.

__

Using the given dimensions, the area is found to be ...

  A = 1/2(14 cm +38 cm)(16 cm) = (1/2)(52 cm)(16 cm) = 416 cm²

The area of the figure is 416 cm².

Factor 9p² +6p-8
Step 1: multiply a x c and write the new equation
Step 2: Divide by "a" and simplify the fractions. Write the new equation n factored form.
Step 3: Bottoms up and write the new equivalent equation in factored form.

Answers

I would recommend using the hook method for this problem
multiply the 9 to the back (8) to get
p^2 + 6p + 72
To get to (p +- _) (p+-_) form you must find out what 2 numbers add or subtract to get 6 and multiply to be 72.
These numbers are 12 and 6.
The factored form would be (p+12)(p-6)

The diameter of a circle is 5 cm. Find its area to the nearest whole number.

Answers

Answer:

79cm

Step-by-step explanation:

Area of a circle = πr^2

Plug in r: π(5)^2 = 79cm

A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

What is the constant speed of Speedy Sam?

Who ran faster?

Answers

Using linear function concepts, it is found that:

The constant speed of Fast Freddy is of 0.25 miles per minute.The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:

mF = 1/4 = 0.25 miles per minute.

The constant speed of Fast Freddy is of 0.25 miles per minute.

For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:

mS = 2/16 = 1/8 = 0.125 miles per minute.

The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

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Answer:

1/4 1/8 and Freddy was faster

Step-by-step explanation:

Please help! It’s to early for my brain to function :/

Answers

Answer:

The answer is B

Step-by-step explanation:

Distance formula- √(x2-x1)² + (y2-y1)²

Step 1: Plug in your values.

√(4a-a)² + (0-(-2b)²

Step 2: Substitute

√(3a)² + (2b)²

It cannot be simplified anymore, so your answer is:

B (√(3a)² + (2b)²)

(Please give brainliest if it helps!)

PLS HELP FAST !!!



The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number

Answers

Using proportions, it is found that if the theater owner asked 100 people,  47 would prefer Drama.

What is a proportion?

A proportion is a fraction of a total amount.

From the table, out of the 7 + 18 + 7 + 6 = 38 people surveyed, 18 prefered drama. Hence the proportion is given by:

p = 18/38 = 0.47.

Out of 100 people, the amount would be given by:

A = 0.47 x 100 = 47.

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whats the biggest ten you can multiply by 3 but dont go over 42

Answers

Answer:

14

Step-by-step explanation:

3x14=42 it dosen't go over 42

Answer: 14

Step-by-step explanation:

3,6,9,12,15,18,21,24,27,30,33,36,39,42

3x14=42

find the area of the composite figure

Answers

Answer:

84 square inches

Step-by-step explanation:

2. Select the two graphs with a negative slope.

Answers

Answer:

2nd one on the top row

last one on the bottom row

(left to right)

Step-by-step explanation:

the negative slopes are the lines that go down towards the right side

so that would be the second one on the top row and the last one on the bottow row

what is the answer to In 3/4 of an hour Ryan codes 3/5 of his game. At this rate, how much of the game can he code in 1 hour?

Answers

Answer:

4/5 of game

Step-by-step explanation:

Rate  =  3/5 g / (3/4 hr) =   12/15 = 4/5  game per hour

omg pls help and include work if you can. please simplify

Answers

rad 128 can be broke into 64*2

square root of 64 is 8, times -5,

which leaves -40rad2

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