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
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
Reciprocal of a fraction<h2>Answer</h2>
8/7
<h2>Explanation</h2>
In this case, the base is 7/8 and the exponent is -4.
In order to find the reciprocal of a fraction we just have to flip it upside down:
That is why the answer is 8/7.
The answer is: " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;
3t − 7 = 5t ; Subtract "3t" from each side of the equation;
____________________________________________
3t − 7 − 3t = 5t − 3t ;
to get: -7 = 2t ;
Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;
-7/2 = 2t / 2 ;
-3.5 = t ; ↔ t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;
6 t = 6*(-3.5) = - 21 . The answer is: " -21 " .
____________________________________________
