An architect is recreating the blueprint for a deck with an existing scale factor of 1 in. equals 2 ft​, that is shown. The architect is using a different scale so that the length of the same deck on the new blueprint measures 8 inches. Complete parts a and b. What is the scale factor of the new blue print? 1 inch = ______feet.

Part 2: What is the width of the deck on the new​ blueprint?

Answers

Answer 1

Answer:

[tex](a)\ k_2 = 1in:3ft[/tex]

[tex](b)\ Scale\ width =\frac{16}{3}\ in[/tex]

Step-by-step explanation:

Given

[tex]k_1 = 1in : 2ft[/tex] --- Initial scale factor

[tex]Blueprint: 12in\ by\ 8in[/tex] --- Missing from the question

Solving (a): The new scale factor.

Convert the initial blueprint to actual measurement using the initial scale factor, we have:

[tex]Length = 12 * 2ft = 24ft[/tex]

[tex]Width = 8 * 2ft = 16ft[/tex]

From the question, we understand the new scale factor represents the width as 8in.

The scale factor (k2) is then calculated as:

[tex]k_2 = \frac{Scale\ length}{Actual\ length}[/tex]

[tex]k_2 = \frac{8in}{24ft}[/tex]

Simplify

[tex]k_2 = \frac{1in}{3ft}[/tex]

Represent as fraction

[tex]k_2 = 1in:3ft[/tex]

The above is the new scale factor

 Solving (b): The new width

Using the scale factor above we have:

[tex]k_2 = \frac{Scale\ width}{Actual\ width}[/tex]

[tex]\frac{1in}{3ft} = \frac{Scale\ width}{16ft}[/tex]

The 16 is gotten from:

[tex]Width = 8 * 2ft = 16ft[/tex]

So, we have:

[tex]Scale\ width = 16ft * \frac{1in}{3ft}[/tex]

[tex]Scale\ width = 16 * \frac{1in}{3}[/tex]

[tex]Scale\ width =\frac{16\ in}{3}[/tex]

[tex]Scale\ width =\frac{16}{3}\ in[/tex]

Hence, the scale width of the blueprint is: 16/3 inches

Answer 2

Answer: Part A is 3 and part b is 5 1/3 inches

Step-by-step explanation:


Related Questions

3.
Hallar el área de un cuadrado que tiene 21 metros de lado.
* *
(2 puntos)
447
441
461

Answers

[tex] \purple{ \tt{ \huge{{ \: ✨ Answer ✨}}}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \huge{ \boxed{ \boxed{ \tt{{ \: 461 \: }}}}}}[/tex]

It is recommended that a ramp have at least 8 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp shown has a vertical rise of 5 feet. Does the ramp shown match the recommended​ specifications? Explain.

Answers

Dan jejejiwiqjsjsjkeke

Find the Area of the figure

Answers

Answer:

60 sq. ft

Step-by-step explanation:

(8x15)/2

What is the best approximation for √29? 5 5.2 5.9 6

Answers

Answer:

5.2

Step-by-step explanation:

can i get brainliest because i need 1 more to rank up

Answer:

5.2

Step-by-step explanation:

A 5-pound bag of dog food costs $2.10. What is the unit price?
per pound
Submit

Answers

Answer:

.42 per pound

Step-by-step explanation:

Explain how to determine the locations based on the sign of the points (3, -4) and (-4, 3).

Answers

Quadrant I (x, y)
Quadrant II (-x, y)
Quadrant III (-x, -y)
Quadrant IV (x, -y)

I hope this reference helps

Nila is constructing triangles for her math project. Choose ALL sets of line segment lengths that Nila can use A) 4 in, 6 in, 6 in B) 2 in, 2 in, 6 in C) 3 in, 4 in, 7 in D) 1 in, 2 in, 2 in E) 5 in, 5 in, 5in

Answers

Answer:

a,d,e

Step-by-step explanation: trust

HELP PLZZZZZZZZZZZZZZ

Answers

Answer:

30 gallons/hr

Step-by-step explanation:

180/60 = 30

Meteor Crater, located near Flagstaff, Arizona, is a circular
crater with a circumference of 2.32 miles. What is the
approximate diameter of the crater?

Answers

Answer:

The approximate diameter of the crater is 0.74 mile.

Step-by-step explanation:

Circumference of a circle(C)=2*π*r(radius of the circle)

2.32 miles=2π*r

or, r=2.32 miles/2π

So, r=0.369 mile

Then,

d=2r

d=2*0.369 mile

So, d= 0.74 mile

What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3? a.-4 b.4 c.8 d.-8

Answers

Answer:

-4

Step-by-step explanation:

I’m pretty sure

20 POINTS!
Determine the quotient, in simpify the rational expression x-1/6xy ÷ 5/2y.

A. 5x-5/15x
B. x-1/15x
C. 2xy-2y/30x
D. x-2/15xy​

Answers

Answer:

B. x-1/15x

Step-by-step explanation:

Answer:

The answer to this question would be B. x-1/15x

Step-by-step explanation:Hope that this helps:)

What is the kinetic energy of a car that has a mass of 1500 kg and is moving at 60 m/s?


A) 90,000 J
B) 882,000 J
C) 5,400,000 J
D) 2,700,000 J

Answers

Answer:

I want to say it's 90,000J

WHOEVER ANSWERS CORRECTLY WILL BE BRAINLIEST!
The diameter of the circle above is 40 in. What is the circumference of the circle? (Use = 3.14.)
A.
125.6 in
B.
2,512 in
C.
1,256 in
D.
62.8 in

Answers

Answer:

A. (125.6 in)

Step-by-step explanation:

R = d / 2 = 40 / 2 = 20 in

Circumference is:

S = 2*π*R=2*3.14*20=125.6 in

13.At the Finch School bake sale, donuts sell
for $2 each muffins sell for $3 each. A
combined total of 104 donuts and muffins
are sold, resulting in $243 in sales. Which
of the following statements must be true?
a. 69 more muffins were sold than donuts.
b. 34 more muffins were sold than donuts.
c. 34 more donuts were sold than muffins.
d. 69 more donuts were sold than muffins.

Answers

Answer:

c)

Step-by-step explanation:

create a system of equations:

d + m = 104

2d + 3m = 243

now use substitution method based on 'd = 104 - m'

2(104 - m) + 3m = 243

208 - 2m + 3m = 243

208 + m = 243

m = 35

So, 35 muffins and 69 donuts were sold.

This is 34 more donuts than muffins.

What is the volume of the cone to the nearest whole number?


HELP PLZ

Answers

Answer:

167.467mm^3

Step-by-step explanation:

Volume of cone:1/3hpir^2

1/3(10)(pi)(4)^2

=160/3(pi)

(Pi=3.14)

160/3pi=167.467mm^3

What is the volume, in cubic meters, of a cylinder with a height of 9 meters
and a base radius of 7 meters, to the nearest tenths place?

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

1385.4

Step-by-step explanation:

I just did the question

qual é o resultado dessa conta 28+X=50?

Answers

Answer:

x=22

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

Simplify the expression (−5.7g−8) + (2g−2).

Answers

Answer is - 3.7g-10
How I got it.
Removing the parentheses
-5.7g-8+2g-2
-3.7g-8-2
-3.7g-10

Does this graph show a function? Explain how you know.

Answers

Answer:

D

no because for each x we have two y

b2-4 for b=5 how did you get this answer

Answers

Answer:

21

Step-by-step explanation:

Put the b value where b is

5^2-4

(5*5=25)

25-4=21

I will make brainiest

Answers

Answer:

D. 735.25 cubic inches.

Step-by-step explanation:

Well hello there! My name is Lunako, and I'm here to help you out.

What we need to do:

Firstly, do you remember the formula for finding the volume of the sphere? Yep, it's 4π(r³/3)! I'll substitute r for 5.6 -- which is 11.2 divided by 2, but you knew that already right? -- and π for 3.14 -- I'm doing that for relative ease.

4(3.14) * (5.6³/3) {Firstly we need to need find the cube of 5.6. That would be 175.616. Let me show the work for that: 5.6 * 5.6 = 25 + 3 + 3 + 0.36 = 31.36; 31.36 * 5.6 = 150 + 5 + 1.5 + 0.3 + 18 + 0.6 + 0.18  + 0.036 = 155 + 1.8 + 18.6 + 0.216 = 156.8 + 18.816 = 175.616}

4(3.14) * (175.616/3) {Now divide 175.616 by 3 to get 58.5387 (rounded to 54 places).}

4(3.14) * 58.5387 {Now onto the left sides. 3.14 quadrupled is 12.56.}

12.56 * 58.5387 {Now for the last step: Multiplying 12.56 by 58.5387. The work for that is shown in the picture. You should get 735.246072.}

735.246072 in³ {While this is the answer, we need to round it to two decimal places, like in the answer choices. 6 is greater then 5, so round up to 735.25.}

735.25 in³ {And with that this problem is solved.}

The Answer:

The volume of the sphere is 735.25 cubic inches, which is D.

I hope this helps!  °˖✧◝(⁰▿⁰)◜✧˖°

pls pls pls help!! do both problems. its easy. help

Answers

Answer:

9. Direct

10. Indirect

Step-by-step explanation:

Please help me!!! I will give brainiest



If I went to the store in a boat on a boat how cold was it true or false.

Answers

Answer:

Any temp less than 70 degrees is dangerous. So really, probably the worst thing about cold weather boating is the danger if you fall in. If it's really cold and you are bundled up, you don't have as much flexibility. If you have gloves on, you can't get the same grip.

Step-by-step explanation:

Hey mate here's your answer...

An Item costs $25 before tax. If sales tax is 8% then what is the final price

Answers

Answer:

27

Step-by-step explanation:

25(0.08)=2+25=27

25(0.08)+25=27

a line that passes through (4,5) and (0, -12)

Answers

Answer:

Step-by-step explanation:

Hello : let A(4,5) B(0,-12)

the slope is : (YB - YA)/(XB -XA)

(-12-5)/(0-4) = 17/4

an equation is : y=ax+b a is a slope

y = (17/4)x +b

the line through point B(0,-12) : -12 = (17/4)(0)+b

b =-12

the equation is : y =(17/4)x-12

Write an expression that represents the following situation: An Uber driver charges $6 plus $1.50 per mile.

Answers

Answer:

6.50

Step-by-step explanation:

6+1.50=6.50

Given the following perfect square trinomial, fill in the missing term. (2 points)
4x^2+16x+____

Answers

So the answer would be 4x^2+16x+16 cause u are finding the correct trinomial
Hope this work !

Nya wants to buy a sweater that had an original price of $50. The sweater is now discounted 15% and the sales tax rate is 6%. How much will Nya pay for the sweater? Round to the nearest cent (hundredths place). *

Answers

Answer:

$45.05

Step-by-step explanation:

Sale price of sweater is (1.00 - 0.15)($50), or 0.85($50) = $42.50.  Nya has to pay 6% sales tax on this $42.50.  Thus, the final amount due is

(1.00 + 0.06)($2.50) = $45.05

Answer:

46.42

Step-by-step explanation:

First step is to find the discount

Discount = original price * discount rate

= 55 * 20%

= 55*.20

=11

Take the discount from the original price and that is the new price

new price = original price - discount

= 55-11

=44

Now we need to find the tax

tax = new price * tax rate

= 44 * 5.5%

= 44 * .055

=2.42

The final price is the new price plus the tax

final price = new price + tax

= 44+2.42

=46.42

Therefore, Nya will pay $46.42 for the sweater if she buys it.

PLEASE HELP!! WILL GIVE BRAINLIEST AND 15 POINTS!!
Sarah is playing a game that requires each player to spin an arrow to one of four colors, equally divided: red, yellow, blue, or green.
What is the probability that Sarah will NOT land on red?
(please explain why)

Answers

Answer:

the probabily is 3/4 that she will not land on red

Step-by-step explanation:

there are three other colors, making red have a 3/4 chance of not being picked

Answer:

Answer:

 3/4 that she will not land on red

Step-by-step explanation: im not completely sure :(




Which parent function does not have a graph that goes through the origin?
Helpppp pleas I have no time

Answers

Answer:

i think the second option

Step-by-step explanation:

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"ATTICUS_SWEETLOVER"

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