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butalik [34]
3 years ago
6

a rectangle measures by 3 cm by 4 cm. a rectangle similar to the first measures 12 cm by 16 cm. find the ratio of the areas of r

ectangles. how does that ratio compare with the ratio of the side lengths?
Mathematics
1 answer:
kumpel [21]3 years ago
6 0
The side that measures 12 cm corresponds to the side that measures 3 cm.
The side that measures 16 cm corresponds to the side that measures 4 cm.
The ratio of the side lengths is (12 cm)/(3 cm) = (16 cm)/(4 cm) = 4

Now let's calculate the two areas.

For the 3 cm by 4 cm rectangle:
A = LW = 3 cm * 4 cm = 12 cm^2

For the 12 cm by 16 cm rectangle:
A = LW = 12 cm * 16 cm = 192 cm^2

The ratio of the areas is (192 cm^2)/(12 cm^2) = 16

The ratio of the areas is 16.
The ratio of side lengths is 4.
Notice that 16 = 4^2.
The ratio of the areas is the square of the ratio of the side lengths.
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Answer:

Step-by-step explanation:

a°=180°-36°=144° b°=180°-113°=67°

a°=144° and b°=67°

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1 year ago
Find the value of x :)
alexira [117]

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x = 20

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→ Remember how many degrees are on a straight line

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3 years ago
PLEASE HELP Write an equation with the smallest possible degree for the function graphed attached.
arlik [135]

Answer:

Below

Step-by-step explanation:

First we can go ahead and create a general equation for this polynomial

Here are our roots :

     x1 = - 3

     x2 = -1

     x3 = 1

Now because this function extends from quadrant 4 to 3, we know that this has been reflected in the x-axis :

     f(x) = - ( x + 3 ) ( x + 1 ) ( x - 1 )

However if we look closely you can see that the graph appears to "bounce" off certain roots. In this case it bounces off x = 1. This means that this root is an order of 2. It also has a weird looking curve on x = - 3 which means that this root is an order of 3.

Our general equation will look like this :

     f(x) = - ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )

Now we need to sub in any point on the graph to solve for the <em>a </em>value. I'm just going to arbitrarily pick the y-intercept at ( 0 , -3 )

     - 3 = - a ( 0 + 3 )^3 ( 0 - 1 )^2 ( 0 + 1 )

     - 3 = - a (3)^3 (-1)^2 (1)

     - 3 = - a (27)(1)(1)

     - 3 = - a27

     1/9 = a

Here is our FINAL equation :

     f(x) = - 1/9 ( x + 3 )^3 ( x - 1 )^2 ( x + 1 )

Hope this helps! Best of luck <3

I would really appreciate a brainliest if possible :)

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2 years ago
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