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3 years ago

6

a rectangle has a perimeter of 88cm. if the height is three times the length of the width what are the dimensions of the rectang

le

1 answer:

fredd [130]3 years ago

5 0

Answer:

P=88. L=3w

P= 2(w)+2(L)

Then substitute the values into the equation

88=2w+2(3w)

Then solve for w and its length which is 3w

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The volume of a triangular prism is 20 cubic mm. If the dimensions were doubled, what would the new

anygoal [31]

Answer:

The new volume will be 160 mm^3

Step-by-step explanation:

The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height.

Let’s say we have the base with dimensions a and b, while the height can be h

The volume can be calculated as

V = 1/2 * a * b * h

Now , to answer this question, we shall be choosing arbitrary lengths for a, b and h. Whatever length we shall be choosing , we should make sure that they must be equal to 20 mm^3.

Let’s say we have a as 2mm , b as 4 mm and H as 5 mm

Plugging these into the equation, we surely have our volume as 20 mm^3

Now let’s double these dimensions. Our new dimensions become , 4mm by 8mm by 10mm

Plugging these new values into the equation, we have;

1/2 * 4 * 8 * 10 = 160 mm^3

Thus, our volume is expected to be increased by a factor of 8

7 0

3 years ago

Sharon Bernstein rents an apartment for $1,110 a month. She has these annual expenses: electricity, $980; gas, $1,100; phone/cab

sweet-ann [11.9K]

Answer:

Annual expenses INCLUDING cost of annual rent: = $17,597

Annual expenses EXCLUDING cost of annual rent: = $4,277

Step-by-step explanation:

Annual expenses EXCLUDING cost of annual rent:

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $980 + $1,100 + $2,100 + $45 + $52

= $4,277

Annual expenses EXCLUDING cost of annual rent: = $4,277

Annual expenses INCLUDING cost of annual rent:

Rent = $1,110 per month

Annual rent = $1,110 per month × 12

= $13,320

Electricity = $980

Gas = $1,100 Phone/cable/Internet = $2,100

Insurance = $45

Lost interest = $52

Total = $13,320 + $980 + $1,100 + $2,100 + $45 + $52

= $17,597

Annual expenses INCLUDING cost of annual rent: = $17,597

5 0

3 years ago

HELP PLS HELP PLS

ivanzaharov [21]

Answer:

x =-4

y=-1

x=2

y=8

okeeeeeeeeeeeyyyyyyyyy

5 0

3 years ago

A rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48 and each cubic foot hose 7.5 gallons

zmey [24]

Answer: it will take 576000 gallons to fill the lap pool.

Step-by-step explanation:

The formula for determining the volume of water in the rectangular pool is expressed as

Volume = length × width × height

The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is

Volume = 80 × 20 × 48 = 76800 cubic feet

1 cubic foot = 7.5 gallons

76800 cubic feet = 76800 × 7.5 = 576000 gallons

5 0

3 years ago

Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.

LenKa [72]

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

4 0

3 years ago

Read 2 more answers