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cricket20 [7]
3 years ago
7

60000ft² divided by 3 floors and 2 buildings is? How much each floor for each building?

Mathematics
1 answer:
9966 [12]3 years ago
3 0
10000ft<span>² for each floor.

60000 divided by 3 = 20000
20000 divided by 2 = 10000

</span>
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It costs Charlie's Car Repair Shop $27 to change the oil. The shop charges their costumers $40 for an oil change. What is the pe
frosja888 [35]
Cost Price for oil change =$27 
Charge for the customers =$40 
Markup cost = Difference between selling price and cost price =$40-$27=$13  
To find the percent of markup, divide the markup cost by the cost price and multiply it by 100. 
Markup percent = (13/27)*100 
 =48.15%
3 0
2 years ago
For the function G defined by G(x)=5x+3, find G(r+5).
ycow [4]

Answer:

8x+5

Step-by-step explanation:

any letter will mean 1

4 0
2 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE A LOT OF POINTS!
vazorg [7]

9514 1404 393

Answer:

  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

  7(x -4) -3(y -5) = 0

  7x -3y -13 = 0

Similarly, the altitude to side AB can be written as ...

  (∆x, ∆y) = B -A = (4, 5) -(-4, 2) = (8, 3)

  8(x -3) +3(y +1) = 0

  8x +3y -21 = 0

__

By the "cross multiplication method", the solution to these equations is ...

  x = (-3(-21) -(3(-13))/(7(3) -8(-3)) = (63+39)/(21+24) = 102/45 = 2 4/15 ≈ 2.27

  y = (-13(8) -(-21)(7))/45 = 43/45 ≈ 0.96

The orthocenter is near (2.27, 0.96).

__

A graphing application confirms this result.

_____

<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

  D = ae -db, X = bg -ec, Y = cd -ga

Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

__

<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

3 0
2 years ago
Find the distance between two points (5,10) and (-4,6)​
Helga [31]

Answer:

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

−

6

−

−

3

)

2

+

(

−

4

−

−

5

)

2

d

=

√

(

−

6

+

3

)

2

+

(

−

4

+

5

)

2

d = √ ( − 3 ) 2+ 1 2

d = √ 9+ 1

d = √ 10

Or

d = 3.162

rounded to the nearest thousandth

7 0
2 years ago
Which fraction is in simplest form?<br><br> ​2-10​<br><br> ​5-12​<br><br> ​3-6​<br><br> ​4-8
IgorLugansk [536]

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

8 0
3 years ago
Read 2 more answers
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