3.8-5.5m-4n+8= Simplify

If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.

MrRa [10]

Answer: The shaded area is 99.55 units squared.

Step-by-step explanation:

r = 3.2

Now, we can see that the sides of the square are equal to two times the diameter of the circles (or four times the radius of the circles), so the length of the sides of the square is:

L = 2*(2*3.2) = 12.8

The area of the square is A1 = L^2 = 12.8*12.8 = 163.84 units squared.

the shaded semicircle has a diameter of 4 times r (so the radius is 2 times r), and the area is equal to half the area of a circle:

A2 = (1/2)*pi*(2r)^2 = (1/2)*3.14*(6.4)^2 = 64.31 units squared.

And now we must subtract the area of the four smaller circles inside the square, the area of each one is:

A3 = pi*r^2 = 3.14*(3.2)^2 = 32.15 units squared.

Then the shaded area is:

A = A1 + A2 - 4*A3 = 163.84 + 64.31 - 4* 32.15 = 99.55 units squared.

8 0

4 years ago

Which equation represents the relationship of the measure of m∠X and m∠Y?

avanturin [10]

Answer:

The measure of f m∠X and m∠Y =180 i.e they are supplementary angles.

Step-by-step explanation:

Given:

Two angles

To Find:

Relationship between them

Solution:

For two angles to have relationship ,we need to know what represents in the figure

Here no terms are used to represent the angles

So two angles can be represented in sum of angles of triangles ,

as Consider a triangle XYZ then

X +Y=180 -Z

This will be representation

Otherwise,

<em>Then could be linear ,interior alternate angle or supplementary angles </em>

<em>Which they adds up to 180 degree.</em>

Depending upon the Condition representation will be establish.

Now,

m∠X and m∠Y=180............Supplementary angles. will be most effective .

4 0

3 years ago

Read 2 more answers

The circle (x - 2)2 + (y + 4)2 = 9 passes through the point (-1,-4).

Alex

Answer:

7678689

Step-by-step explanation:

8 0

3 years ago

)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$