What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

16 + 6pi

Step-by-step explanation:

We have a square and 3 semicircles

The area of the square is

A = s^2 and the side length is 4

A = 4^2 = 16

The radius of the semi circle is 2

The area of a semicircle is

1/2 pi r^2

1/2 pi (2)^2 = 2pi

We have 3 of them

3 *2pi = 6pi

Add the areas together

16 + 6pi

(6π + 16) cm²

Step-by-step explanation:

The composite shape can be cut into 4 shapes.

3 equal semi-circles and 1 square.

The square has a side length of 2 + 2 = 4cm.

The radius of the semi-circle is 2 cm.

The area of the square is:

4 × 4 = 16 cm²

The area of the semi-circle is:

2²π × 1/2

= (2π) cm²

There are 3 equal semi-circles, so multiply the area by 3.

2π × 3 = (6π) cm²

Add the areas of the 4 shapes.

16 cm² + (6π) cm²

= (6π + 16) cm²

The total area of the composite shape is (6π + 16) cm².

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.