The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
In this problem, you are asked to compute for the volume of
the spherical paintball. The formula in computing the volume of the sphere is:
V = 4/3 (pi) r^2
Where r = the radius of the sphere
Since the given measurement is in diameter, you need to
compute the radius of the sphere. The radius of the sphere is half its
diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).
Substituting the radius to the formula and using 3.14 as the
value of pi:
V = 4/3(3.14)(0.75)^2
V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic
centimeter is equal to mL)
Therefore, there are approximately 2.36 mL of paint in the paintball.
<span>D) Greater than 8 because you are multiplying by a number greater than 1.
8 * 2 1/3 = 8 * 7/3 = 56/3 = 18.67
& we know, 18.67 > 8
Hope this helps!</span>
1. add 40 to the 40 and 25
2. now you have
3. then you have
4. then square root
5.then round answer to nearest tenth which is
Answer:
2.64
Step-by-step explanation:
0.9(x + 1.4) - 2.3 + 0.1x = 1.6
0.9x + 1.26 -2.3 + 0.1x - 1.6 = 0
(0.9x + 0.1x) + (1.26 - 2.3 - 1.6) = 0
x - 2.64 = 0
x = 2.64
