1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady bird [3.3K]
3 years ago
8

On a set of blueprints, the scale is 1/2 inch = 4 feet. Find the actual length of a room that measures 2.8 inches on the bluepri

nt. Show work.
Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer: The actual length of a room that measures 2.8 inches on the blueprint will be 22.4 feet.

Step-by-step explanation:

We are given that ,

On a set of blueprints, the scale is \dfrac{1}{2}\text{inch= 4 feet}

Multiply 2 both sides , we get

Then, \text{1 inch = }2\times4=8\text{ feet}

\Rightarrow\ \text{2.8 inch = }2.8\times 8\text{ feet}

\Rightarrow\ \text{2.8 inch = }22.4\text{ feet}

Then, the actual length of a room that measures 2.8 inches on the blueprint.  will be 22.4 feet.

Hence, the correct answer is 22.4 feet.

You might be interested in
Which values of P and Q result in an equation with no solutions? -60x+32=Qx+P
Elena L [17]
Q = -60 and P ≠ 32 will result in an equation with no solutions. (Both conditions must be met.)

_____
For Q = -60 and P = 32, there will be an infinite number of solutions. For any other values of Q and P, the solution is
.. x = (32 -P)/(Q +60)
4 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

7 0
3 years ago
How many ways can a set of four tires be put on a car if all the tires are interchangeable? How many ways are possible if two of
stellarik [79]

Answer: 24 possible ways

A set of 4 tires can be fixed in any of the four possible positions in a car as it is mentioned that all four tires are interchangeable. Therefore, the 4 tires can be fixed in 4! ways. The four interchangeable tires can be put on a car in 24 possible ways.

Step-by-step explanation:

looked it up

4 0
3 years ago
Plz help, And no links please
Talja [164]
I did not get any zeros since the graph doesn’t cross the x axis, meaning that there are no rational zeros

However, here is the method u can use to find the zeros lol


You can use the quadratic formula in order to get the zeros

This is the equation therefore use these values
ax^2+bx+c=0

A=1
B= -5
C=12

The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)

6 0
2 years ago
Accountants at the Tucson​ firm, Larry​ Youdelman, CPAs, believed that several traveling executives were submitting unusually hi
77julia77 [94]

Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

6 0
2 years ago
Other questions:
  • A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
    13·2 answers
  • Find the solution of the differential equation that satisfies the given initial condition. (du)/(dt) = (2t + sec^2 t)/(2u), u(0)
    5·1 answer
  • Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which
    15·1 answer
  • Write a multipication expression that shows <br><img src="https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B5%7D%20" id="TexFormula1" tit
    10·1 answer
  • What is the vertical change from point A to point B
    14·1 answer
  • What is the equation of the circle passing through the point (6,5) and centered at (3.-4)?
    13·1 answer
  • Can someone give me a answer key for Vocabulary Test Course 1 Chapter 4 Multiply and Divide Fractions​
    7·1 answer
  • What are the solutions of this quadratic equation?<br><br> 4x2 + 3 = 4x + 2
    6·1 answer
  • What is the value of X???
    13·1 answer
  • To compare and order fractions,the fraction can be written with a​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!