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qwelly [4]
2 years ago
14

Lily built a rectangular prism with cubes. The area of the base is 16 connecting cubes. It is 6 layers high what is the volume o

f his rectangular prism?
Mathematics
1 answer:
Vsevolod [243]2 years ago
4 0

Answer:

Volume of prism is equal to 96 units

Step-by-step explanation:

let the side of the cube be of one unit.

Then, the area of the base is equal to 16 connecting cubes

Assuming a square base of the rectangular prism.

Length of one side of the base of rectangular prism = 4 units

Similarly, width of the base of rectangular prism = 4 units

The height of the rectangular prism is 6 units

Volume of the prim = Length * Width  * Height

Substituting the given values in above equation, we get -

V = 4* 4* 6\\V = 96

Volume of prism is equal to 96 units

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A line passes through the points (15,−13) and (16,−11). Hollis writes the equation y+13=(x−15) to represent the line. Which answ
Andru [333]

The equation formula is y - y1 = m(x-x1)

Using the first point for x1, y1:

Y +13 = m(x-15)

M is the slope which is the change in y over the change in x:

M = -11–13 / 16-15 = 2/1 = 2

The equation becomes y +13 =2(x+15)

The answer is:

He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).

8 0
2 years ago
Henry is at the end of a three-year lease for his car. his leasing company says that his car is currently worth $12,780, a 72% r
ahrayia [7]
The residual value or some may term it the salvage value is the value of an item after a certain period of time. Let x be the original msrp (manufacturer suggested retail price), we can calculate for the salvage value as follows:
                                               12,780 = 0.72x
The value of x from the equation generated above is 17,750. Therefore, the original msrp is equal to $17,750.
8 0
2 years ago
Read 2 more answers
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
igor_vitrenko [27]

Answer:

mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.

CEF is a straight angle because there are two 90ᴼ angles (CEA and AEF) and therefore there is 180ᴼ in total. A straight line has a measure of 180ᴼ.

AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.

4 0
2 years ago
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A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
gavmur [86]
S-selling price
c-cost price
p-profit
p=37,5%
\frac{s-c}{s}*100%=37,5%  /:100%
\frac{s-c}{s}=0,375   /*s
s-c=0,375*s  /-s
0-c=-0,625*s /:(-s)
\frac{c}{s}=0,625



5 0
2 years ago
A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon-per-minute showerheads. Each m
kykrilka [37]

Answer:

Family will save 3600 gallons of water by replacing the shower-heads.

Step-by-step explanation:

Number of family members in a family = 5

Each member of the family averages shower per day = 8 minutes

Total time for shower = 5×8 = 40 minutes

With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons

Water consumption in 30 days = 200×30 = 6000 gallons per month

After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day

Water used in one month = 80×30 = 2400 gallons

Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons

Therefore, family will use 3600 gallons less water by replacing the water saving water heads.

8 0
2 years ago
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