The formula for circumference is

or

. We have a diameter for the semicircle, so let's use the diameter formula.

which is either

or C = 5.338 if we multiply pi in as 3.14. BUT this is only half a circle, so we only have half that distance around the outside. Therefore, the circumference of half this circle is 2.669 cm. But we need to add the 24 mm in. 24 mm in centimeters is 2.4 cm. So 2.669 + 2.4 = 5.069
Answer:

Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
- The line which is 8 units long is a chord of the circle.
- The line that is 3.6 is <em>almost</em> the radius of the circle
- The line that x sits on is the radius.
With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
length of a rectangle is 6 less than 3 times its width"
L = 3W-6
"perimeter of the rectangle is 148 meters"
2L + 2W = 148
L + W = 74
(3W-6) + W = 74
4W = 80
W = 20 m
L = 3W-6 = 54 m
Step-by-step explanation:
I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.
<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.
the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.
I suck at explaining stuff, hope this helps
ABC
MIT
MEL
are right triangles
to solve this you can get help from
ThePythagorean Proposition
or use an useful app all in one calculator