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Fed [463]
2 years ago
5

A scale model of a rectangular building lot measures 7feet by 5 feet. If the actual house will be built using a scale factor of

12 what is the area of the actual building lot
Mathematics
1 answer:
Tamiku [17]2 years ago
5 0
Actual area of the rectangular building = 5040 feet²
Step-by-step explanation:
Length of the rectangular building = 7 feet
Width of the rectangular building = 5 feet
Now, The building is made with a scale factor of 12
So, Actual length of the rectangular building = 84 feet
Actual width of the rectangular building = 60 feet
Now, Actual area of the rectangular building = Length × Width
⇒ Actual area of the rectangular building = 84 × 60
⇒ Actual area of the rectangular building = 5040 feet²
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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
The question is
PilotLPTM [1.2K]

The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

5 0
3 years ago
What is the measurement of BC to the nearest centimeter?
77julia77 [94]

Answer:

a   8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

a^2 = b^2 + c^2 - 2bc\cos A

a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ

a^2 = 25 + 121 - 110\cos 39^\circ

a^2 = 60.51

a = 7.779

Answer: a = 8 cm

7 0
3 years ago
1) What is the solution of the inequality?<br> 42-8 - 22-24
ki77a [65]

Answer:

38

Step-by-step explanation

7 0
3 years ago
Use the picture attached!!
evablogger [386]

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

Please Mark me as Brainleast!!!!!!!!

5 0
1 year ago
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