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Gnoma [55]
3 years ago
13

The perimeter of Macy's rectangular room is 40 feet. Two sides of the room measure 8 feet. How long are the other two sides?

Mathematics
1 answer:
arlik [135]3 years ago
7 0
The side oppoiste to the 8 ft side must also = 8 feet
which is a total of 16 feet

so the other  2 side measure (40-16) / 2 =  12 feet 
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Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)
d1i1m1o1n [39]

Answer:

(2.5, 2.5)

Step-by-step explanation:

Coordinates of midpoint

=  \bigg(  \frac{ - 2 + 7}{2}, \:  \:  \frac{6 - 1}{2}  \bigg) \\  \\  =  \bigg(  \frac{5}{2}, \:  \:  \frac{5}{2}  \bigg) \\  \\  = ( 2.5, \:  \:  2.5  )

8 0
2 years ago
The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?
BigorU [14]

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

8 0
3 years ago
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
The graph below shows the solution to which system of inequalities? ​
solong [7]

Answer:

C

Step-by-step explanation:

The graph shows it clearly.

6 0
2 years ago
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julia-pushkina [17]

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

7 0
3 years ago
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