B: 6×40-6×5
C: 6×50-6×5
D: 6×50+5
75 = x*300
75 = 300x
x = 300/75
x= .25
I hope that's help !
(a) Triangles ABC and ABD are equilateral triangles, so have internal angles of 60°. The angle CBD is the sum of the measures of angles CBA and ABD, both of which are 60°.
angle CBD measures 120° = 2π/3 radians
(b) The area of the left shaded area is the area of circle A minus twice the area of circular segment CBD. The area of a circular segment that subtends an arc of α radians is
... A = (1/2)r²(α - sin(α))
Then the area of the left shaded area is
... (area of circle) - 2 × (area of segment)
... = π·r² - r²(2π/3 - sin(2π/3)) = r²(π/3 + sin(2π/3))
For a radius of 6 cm, the area of the left shaded area is
... (6 cm)²(π/3 + (√3)/2) ≈ 68.876 cm²
Then the area of both shaded areas is
... shaded area ≈ 2 × 68.876 cm² ≈ 137.752 cm²
_____
(If you erroneously use the 3-digit value 3.14 for π, then you will get the erroneous 4-digit number 137.7 cm² for the shaded area. The number of significant digits in your value of π should be at least the number of significant digits you want in your answer. For the correct 4-digit answer 137.8 cm², you should use at least a 4-digit value for π, such as 3.142.)
We know that the area of a parallelogram is the base * the height of it, so if we divide both sides by the height, then area/height=base. Therefore, we must divide the area by the height. To divide using polynomials, we first set it up similar to a regular long division problem:
______________________
2x+3 | 2x²+13x+15
Next, we take the first component of the numerator (2x² in this case) and divide it by the first component of the denominator (2x) to get x. That will form the start of our answer, and at the bottom, we will subtract our numerator by the denominator (2x+3) multiplied by the start of our answer (x). Therefore, we have
_x_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
We then repeat the process until we finish, and whatever's left at the top is our answer. If there's something left, that's our remainder.
_x+5_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
- (10x+15)
_________________
0
Therefore, our base has a length of x+5.
Feel free to ask further questions, and Happy Holidays!