Answer:
6cm is the correct answer
Answer:
Step-by-step explanation:
CABD is half-circle as CD is diameter and cuts the circle in half
- CABD = CA + AB + BD
- 180° = x + 70° + x
- 110° = 2x
- x = 110°/2
- x = 55°
Correct choice is d)
Step-by-step explanation:
Volume of the cylinder = πr²h
π(2.1)² (6) = 83.12 cm³
volume of prism = ½bhl
2(10)(3.5) = 70cm³
Volume of cylinder is more than that of prism.
Therefore, Cylinder holds more water
In the shown picture, To find the shaded area we need to find the total area of the square, subtracted by the area of the circle.
the area of the shaded region = the area of the square - the area of the circle
the area of the square = L² = 7² = 49 cm²
the area of the circle = πr² = 3.14 x 3.5² = 38.5 cm²
the area of the shaded region = 49 - 38.5 = 10.5 cm²
Answer:
x = -84, y = -58
Step-by-step explanation:
2x - 3y = 6 --- Equation 1
Equation 1×5: <em>10x</em> - 15y = 30 --- Equation 2
5x + 7y = -14 --- Equation 3
Equation 3×2: <em>10x</em> + 14y = -28 --- Equation 4
<u>I will eliminate 10x. </u>
Equation 4-2:
10x - 15y - 10x + 14y = 30-(-28)
-y = 30+28
= 58
y = -58
Substitute y =-58 into Equation 1.
2x - 3y = 6
2x - 3(-58) = 6
2x - (-174) = 6
2x + 174 = 6
Find 2x.
2x = 6-174
= -168
Find x.
x = -168 ÷ 2
x = -84