A fair-sided coin is tossed 18 times.

What is the area of this figure?

Alenkinab [10]

Problem setup:

The shape is way too complicated by itself, so I cut the shape into 5 different parts.

Please refer to the attached image or my answer will not make much sense.

Shape 1:

This is a triangle. The base is 3 and the height is 2. Thus, the area is:

$A=\dfrac{1}{2}*3*2$

$=3$

Shape 1 has an area of 3 square units.

Shape 2:

This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:

$A=\dfrac{1}{2}*4*2$

$=4$

Shape 2 has an area of 4 square units.

Shape 3:

This a unit square (the side lengths are 1).

Thus, Shape 3 has an area of 1 square unit.

Shape 4:

This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:

$A=3*4$

$=12$

Shape 4 has an area of 12 square units.

Shape 5:

This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:

$A=4*2$

$=8$

Shape 5 has an area of 8 square units.

Total shape:

Add the areas of all 5 shapes to find the area of the shaded figure.

$A=3+4+1+12+8$

$=26$

The figure has a total area of 26 square units.

Side notes:

There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?

Let me know if you need a hint or any clarifications, thanks!

~ Padoru

3 0

3 years ago

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

KATRIN_1 [288]

Answer:

d) 360

Step-by-step explanation:

8 0

3 years ago

Complete the table of values for y=x^2-2

Harrizon [31]

Step-by-step explanation:

a)

For each value of x, we need to solve for y.

Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.

Here is a list of the unfilled answers:

x = -2:

-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.

x=-1:

-1²-2 = 1 -2 = -1

x=1

1²-2 = 1-2= -1

x=3:

3²-2 = 9-2 = 7

b)

In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x

5 0

3 years ago

Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is C if

Black_prince [1.1K]

C'=1.5
c/c'=d/d'
c/1.5=8
c=12
hope that helps :)

7 0

3 years ago

Simplify each write as a smaller fractions or mixed number 6 / 18

miv72 [106K]

6/18= 1/3 a simplest fraction

7 0

3 years ago