We can see from the diagram that the length of the rectangle is 2 lots of the radius of one quarter circle. The width is made up of one radius, therefore the width is half of the length.
This means that the width of the rectangle is 9cm, and the radius of each quarter circle is 9cm.
To find the shaded area, we find the area of the rectangle and subtract from the areas of each circle, which are equal:
A = lw - 1/2(pi x r^2)
A = 9 x 18 - 1/2(81pi)
A = 162 - 81/2 pi
A = 34.8cm (3sf)
Answer:
(w^2 - 4w + 16)
Step-by-step explanation:
Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3. The corresponding factors are (w + 4)(w^2 - 4w + 16).
Therefore,
(w^3 +64)/(4+ w) reduces as follows:
(w^3 +64)/(4+ w) (4 + w)(w^2 - 4w + 16)
--------------------------- = --------------------------------- = (w^2 - 4w + 16)
4 + w 4 + w
We can't write the product because there is no common input in the tables of g(x) and f(x).
<h3>Why you cannot find the product between the two functions?</h3>
If two functions f(x) and g(x) are known, then the product between the functions is straightforward.
g(x)*f(x)
Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.
For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:
(g*f)(a) = f(a)*g(a) = b*c
Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.
If you want to learn more about product between functions:
brainly.com/question/4854699
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the two consecutive even integers are:
x
x+2
x+x+2=2
2x+2=2
2x=0
x=0
x+2=2
Answer:
1. n + 4
2. x(n) + 4
Step-by-step explanation:
The two solutions were arrived at based on the following :
1. The total number of fruit, irrespective of the kind or type.
In this case, let the number of fruit be n.
Adding 4 peaches gives: n + 4 fruits.
2. The second expression takes into account the peaches only.
This times around, let the total fruits be n.
The number of peaches in the basket can be given as a fraction. Let the fraction be <em>x</em>
The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: <em>x</em>n
However, 4 peaches are added, therefore, the total number will be <em>x</em>n+4
This figure denotes the number of peaches in the basket.
