Step-by-step explanation:
- <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses
- move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign
- move the <em><u>constant </u></em>to the right hand side and change its sign
- collect<em><u> like</u></em><em><u> terms</u></em>
<em><u></u></em>
- divide both sides of the equation by <em>-</em><em>5</em>
<em></em>
<h2>
<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>
Answer:
Part 1) The exact value of the arc length is
Part 2) The approximate value of the arc length is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
we have
substitute
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
step 3
Find the approximate value of the arc length
To find the approximate value, assume
substitute
<h3>
</h3>
By decomposing the figure in simpler shapes, we will see that the total area is:
a = 180 cm²
<h3>
How to find the area of the composite figure?</h3>
Remember that the area of a rectangle of width W and length L is:
A = L*W
And the area of a triangle with base B and height H is:
A = B*H/2.
Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.
So the area of that part is:
A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²
Now, the bottom triangle has a base of 12 cm, and a height of:
15cm - 6cm = 9cm
Then its area is:
A' = 12cm*9cm/2 = 54cm²
This means that the total area of the figure is:
total area = 54cm² + 54cm² = 108cm²
If you want to learn more about area:
brainly.com/question/24487155
#SPJ1
3/6 . . . . .
<em>Yes.</em> 2 of anything is less than 3 of the same thing ... like sixths.
2/8 . . . . .
No. When changed to common denominator, the inequality
would say
8/24 < 6/24
and that's not true.
2/4 . . . . .
<em>Yes.</em> When changed to common denominator,
the inequality would say
4/12 < 6/12
and that's true.
2/3 . . . . .
<em>Yes.</em> When changed to common denominator,
the inequality would say
2/6 < 4/6
and that's true.
1/6 . . . . .
No. 2 of anything is more than 1 of the same thing ... like sixths.
It is A hope this helps :)