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
mixas84 [53]
3 years ago
6

a game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W

hat are the dimensions of the scale drawing?
Mathematics
1 answer:
Ghella [55]3 years ago
4 0
For every 5 feet, the scale drawing is 1 unit.  So we divide the dimensions by 5 to get the dimensions of the scale drawing.

120/5 = 24

1:5 = x:120  There are 24 5's in 120 so the new ratio is 24:120

75/5 = 15

1:5 = x:75  There are 15 5's in 75 so the new ratio is 15:75

The dimensions of the scale drawing is 24 units by 15 units.
You might be interested in
What is the value of (-2)4?<br> What is the value of (-2) squared4
Vlada [557]
The value of (-2)4 = -8
The value of (-2)^2 (4)= 16
4 0
3 years ago
19.60<br> +4.31<br> ———<br><br><br><br><br> these are decimals
professor190 [17]

Answer:

23.91

Step-by-step explanation:

your welcome lol

how was ur day

3 0
3 years ago
Read 2 more answers
Part 4: Use the information provided to write the vertex formula of each parabola.
sergey [27]

Answer:  1. x = (y - 2)² + 8

              \bold{2.\quad x=-\dfrac{1}{2}(y-10)^2}+1

               3. y = 2(x +9)² + 7

<u>Step-by-step explanation:</u>

Notes: Vertex form is: y =a(x - h)² + k    or      x =a(y - k)² + h

  • (h, k) is the vertex
  • point of vertex is midpoint of focus and directrix:   \dfrac{focus+directrix}{2}

     \bullet\quad a=\dfrac{1}{4p}

  • p is the distance from the vertex to the focus

1)

focus = \bigg(\dfrac{-31}{4},2\bigg)\qquad directrix: x=\dfrac{-33}{4}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{-31}{4}+\frac{-33}{4}}{2}=\dfrac{\frac{-64}{4}}{2}=\dfrac{-16}{2}=-8\\\\\text{The y-value of the vertex is given by the focus as: 2}\\\\\text{vertex (h, k)}=(-8,2)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{-31}{4}-\dfrac{-32}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1

Now, plug in a = 1   and    (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

***************************************************************************************

2)

focus = \bigg(\dfrac{1}{2},10\bigg)\qquad directrix: x=\dfrac{3}{2}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1\\\\\text{The y-value of the vertex is given by the focus as: 10}\\\\\text{vertex (h, k)}=(1,10)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{1}{2}-\dfrac{2}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}

Now, plug in a = -1/2   and    (h, k) = (1, 10) into the equation x =a(y - k)² + h

\bold{x=-\dfrac{1}{2}(y-10)^2}+1

***************************************************************************************

3)

focus = \bigg(-9,\dfrac{57}{8}\bigg)\qquad directrix: y=\dfrac{55}{8}\\\\\text{Since directrix is y, then the y-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{57}{8}+\frac{55}{8}}{2}=\dfrac{\frac{112}{8}}{2}=\dfrac{14}{2}=7\\\\\text{The x-value of the vertex is given by the focus as: -9}\\\\\text{vertex (h, k)}=(-9,7)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{57}{8}-\dfrac{56}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2

Now, plug in a = 2   and    (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

4 0
3 years ago
Rewrite the following improper fraction as a mixed number : 19/5
NeX [460]

Answer:

3 4/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which equation represents an exponential function that passes through the point (2, 36)?
Zepler [3.9K]

Answer:              It would be the first equation because:

Step-by-step explanation:        

In order to be an exponential function, the X

variable has to be in the exponent, that eliminates

the second and fourth answers

       f(X) = 4(3)X

using the point (2,36)

  f(2) = 4 (3)2

         = 4 (9 )

         = 36

6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine which relation is a function.
    15·1 answer
  • An artist mixes paint to make new colors.
    11·1 answer
  • When buying snacks for her classroom, Ms. Davis bought 4 bags of mixed nuts and 8 bags of pretzels. A bag of pretzels costs $1.5
    9·2 answers
  • The answer is 57 just need the steps 2-5*[3-{3^2+5}]<br><br> 10pts.
    5·1 answer
  • If 4x=32 find the value of 35-5x
    7·1 answer
  • On Sierra's softball team, 7 out of the 28 players bat left-handed. On Aubrey's team, 5 out of
    9·1 answer
  • Please help me or dont
    6·1 answer
  • Please help my friend!!
    15·2 answers
  • -11 + 2r = 5r - 6 - 5
    15·2 answers
  • 1 point
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!