Mathematics, 21.01.2020 04:31 juanaaraujo1104

Acircular mirror is surrounded by a square metal frame the radius of the mirror is 2x the side length of the metal frame is 6x what is the area of the metal frame

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Answer from: asra44

Area of the metal frame is 23.43x^2 .

Step-by-step explanation:

Given:

Radius of circular mirror =

Side length of the metal frame =

We need to find the area of the metal frame.

Solution:

First we will find the area of the whole thing.

area of the whole thing is in square shape we can say that;

area of the whole thing is equal to square of the length of the metal frame.

framing in equation form we get;

area of the whole thing = (6x)^2 = 36x^2

Now we will find the area of the circular mirror.

Since mirror is in circular form we will use area of the circle.

So area of circular mirror is equal to π times square of the radius.

framing in equation form we get;

area of the circular mirror = $\pi r^2 = \pi(2x)^2 = \pi 4x^2 = 12.57x^2$

Now to find the area of the metal frame surrounded my the mirror we will subtract area of the circular mirror from area of the whole thing.

framing in equation form we get;

area of the metal frame = 36x^2-12.57x^2 = 23.43x^2

Hence Area of the metal frame is 23.43x^2 .

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

the answer is 9.8975

explanation:

when you multiply the "39.59" with the 25% it reduces it and shows its final discounted price. hope this !

step-by-step explanation:

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