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3 years ago

What is the ratio of the area of the inner square to the area of the outer square?

Mathematics

2 answers:

Anastasy [175]3 years ago

4 0

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

$=\frac{(a-b)^2+b^2}{a^2}$

8090 [49]3 years ago

4 0

Answer:

I got this fraction:

frac{(a-b)^2+b^2}{a^2}

(I got the answer correct)

Hope this is helpful :)

Step-by-step explanation:

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Suppose f(x) = x2 and g(x)=(6)

hodyreva [135]

Answer:

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2 years ago

Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A

PtichkaEL [24]

Answer:

$a) 5n\\b) 10n\\c) 3n$

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here.

A number 'q' that can be divided by a a given number 'p' can be written as:

$n \times p$

When divided by 'p' :

$\dfrac{q}{p} = \dfrac{n \times p}{p}\\\Rightarrow \dfrac{q}{p} = n$

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

$5n$

b) Using 'n' as the variable, a number that is divisible by 10 can be written as:

$10n$

c) Using 'n' as the variable, a number that is divisible by 3 can be written as:

$3n$

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3 years ago

Complete the following table using the equation: y = -2x²

quester [9]

The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The equation of the parabola will be

y = -x²

The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.

The graph of the function is given below.

More about the parabola link is given below.

brainly.com/question/8495504

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4 0

2 years ago

a right triangle has a base that measures 39 inches and a height that measures 80 inches what is the length of the hypotense

mafiozo [28]

A right triangle has three sides: the two sides that share a vertex are known as the legs, and the other side is known as the hypotenuse. The legs are known as a and b, while the hypotenuse is c.
The Pythagorean Theorem states the a^2 + b^2 = c^2. If we plug the numbers into this equation, we will find the length of the hypotenuse.
39^2 + 80^2 = c^2
1521 + 6400 = c^2
7921 = c^2
We have c squared now, but we want to know how much c is equal to. The square root of c^2 will be our answer.
89 = c
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4 0

2 years ago

Through: (4,4), slope<br> 9/4

faltersainse [42]

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

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2 years ago