(7)The area of triangle = 0.5 * height * base // height = 6 ft //base = 10 ft //Area = 0.5 * 6 * 10 = 30 ft²===========================================================================
(16)length of the square = 2 * √7 = 2√7 //
Area of the square = (2√7)² = 28 //
==========================================================================================================
(29) If the length of regular hexagon = a //
Apothem of regular hexagon = a sin 60 //
apothem = 6 //
∴ the length of hexagon = apothem/ sin 60 = (12√3)/3 //
perimeter = 6 * the length of hexagon = 24√3 //
Area = 0.5 * perimeter * apothem = 0.5 * 24√3 * 6 = 72√3 //
=====================================================(39) The length of the arc = radius * inscribed angels in radian // ∴ The length of the arc = 4 * 110 * π/180 = 22π/9 ≈ 7.68 in // =======================================================
(45)The shaded area = half the area of the circle - Area of the triangle // Area of triangle = 0.5 * r² * sin 120 = 0.5 * 6² * sin 120 = 15.588 // Area of the circle = π r² = 3.14 * 6² = 113.04 // The shaded area = 0.5 * 113.04 - 15.588 = 40.96 ≈ 41
Answer:
y = 16, don't know if I'm 100% right but hope this helps.
Step-by-step explanation:
since they both equal Y they may be equal to each other
Then you would subtract 2x from both sides canceling it out on one side
2x + 8 = 5x - 4
-2x -2x
This would make the equation 8 = 3x - 4
next you add the 4 from both sides
8 = 3x - 4
+4 +4
This will leave you with 12 = 3x
now you divide 3 from both sides and 12/3 = 4 makes X = 4
next you take (4) and plug it in to one of the equations
y = 2(4) + 8
y = 8 + 8
y = 16
To find this simply do 5!, or 5×4×3×2×1. That equals 120,
Answer:
{ (HHHH) (HHHT) (HHTH) (HTHH) (THHH) (HHTT) (HTTH) (TTHH) (HTHT) (THTH) (THHT) (TTTH) (TTHT) (THTT) (HTTT) (TTTT) }
P(first and last head) = 4/16 = 1/4
Step-by-step explanation:
![= ( - 3c + 6) + ( - c + 8)](https://tex.z-dn.net/?f=%20%3D%20%28%20-%203c%20%2B%206%29%20%2B%20%28%20-%20c%20%2B%208%29)
![= - 3c + 6 - c + 8](https://tex.z-dn.net/?f=%20%3D%20%20-%203c%20%2B%206%20-%20c%20%2B%208)
![= - 3c - c + 6 + 8](https://tex.z-dn.net/?f=%20%3D%20%20-%203c%20-%20c%20%2B%206%20%2B%208)
= -4c + 14
hence -4c + 14 is the answer ...
hope it helped !!