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frutty [35]
3 years ago
5

The length of a rectangle is 6 centimeters less than twice its width. The perimeter of the rectangle is 48 cm. What are the

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer:

the length is 12 and the width is 9.

Step-by-step explanation:

The first step is always to assign letters to the variables.  We can call length L and width W.

Since all units are in cm, unit conversion is unnecessary.

Next, set up some equations.  L=2W-6 because of the first sentence of the problem.  Length times width equals area, so L*W=108.

Now that there are two equations and two variables, the next step is to solve the system.  I'm going to solve it by plugging in the right side of the first equation in for L in the second equation.  This gives me (2W-6)*W=108.  Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0.  Using the quadratic formula, I get that W=9.  Using the first equation, L=2*9-6=12.  So the length is 12 and the width is 9.

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Step-by-step explanation:

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3 years ago
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NISA [10]

Answer:

Step-by-step explanation: 16.990107955403875

•Rectangular prism - Multiply the measurement of the length times the width, then times the height  

•Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³  

•Prism - Find the area of the base, then multiply the area times the height of the prism. Area would be length times width (B), or B x h  

•Triangular prism - Find the area of the base (b), then multiply the area times the length (l) between the triangular bases. Area of the base would be ½ times the base times the height (h) of the triangle, or ½bhl  

•Cylinder - Find the area of the circular face using pi times the radius squared, then multiply that area times the height of the cylinder, so πr²h  

•Pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3Bh  

•Square pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3s²h  

•Rectangular pyramid - Find the area of the base and multiply that area times the height of the pyramid and multiply by 1/3, or 1/3 lwh  

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3 years ago
Please help asap!!!!
Y_Kistochka [10]
The large rectangle is 3 times 6 but theres two so its 2 x 3 x 6

the medium rectangle is 2 times 6 but again there is two so  2 x 2 x 6

the small rectangle is 2 times 3 and once more there is two so 2 x 2 x 3

7 0
3 years ago
Find f(4) when f(x)=4x^2 - 2 x - 4
prisoha [69]

Answer:

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Step-by-step explanation:

f(x)=4x^2-2x-4

f(4)=4(4)^2-2(4)-4 (I replaced x with (4) since we are to find f(4).)

f(4)=4(16)-2(4)-4    (By the order of operations, we take care of the exponents before whatever else we have here.)

f(4)=64-8-4           (By the order of operations, we take care of the multiplication as we see if left to right.)

f(4)=56-4              (By the order of operations, we perform addition/subtraction as we see it left to right.)

f(4)=52                 (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 -  2(4)  -  4

This would have returned 52.

8 0
3 years ago
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Kamila [148]

Answer: 7x+25y=15

Step-by-step explanation: combine all like terms

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