Hello from MrBillDoesMath!
Answer:
x < -2
Discussion:
7 < 3 - 2x => Add 2x to both sides
7 + 2x < 3 - (2x - 2x) => As 2x -2x = 0
7 + 2x < 3 => Subtract 7 from both sides
(7-7) + 2x < 3 - 7 => As 7-7 = 0 and 3-7 = -4
2x < -4 => Divide both sides by 2
x < -4./2 = -2
Thank you,
MrB
Answer:
942 6/7 cm²
Step-by-step explanation:
Since O = Center of bigger circle, OA = Radius of bigger circle.
∴ Area of smaller circle - Area of bigger circle = Area of shaded part.
∴ Area of smaller circle = 22/7 × 10²
= 22/7 × 100
= 2200/7
= 314 2/7 cm²
∴ Area of bigger circle = 22/7 × 20 ²
= 22/7 × 400
= 1257 1/7 cm²
∴ Area of shaded part = 1257 1/7 - 314 2/7
= 942 6/7 cm²
Warning: This might be rough...
First draw it out. Label the angles at the corners of the triangle 60 (definition of equilateral triangles). Now draw a line from the center of the circle to the corner, splitting the corner in half. Label this line R and a corner as 30 degrees. No to find the height of this triangle, you do rsin(30). The base of this triangle is 2rcos(30). Now find the area of this mini triangle (rsin(30)*2rcos(30)/2=r/2*rsqrt(3)/2=r^2sqrt(3)/4). Now multiply this by 3 because you have 3 mini triangles... to get...
<span>r^2 3sqrt(3)/4</span>
Answer:
C. All of the data values are identical.
Step-by-step explanation:
If the standard deviation for a set of data is 0, then all of the data values are identical.
When a standard deviation is 0, then the variance is also 0 and the mean of the deviation that is squared is also 0, thereby making all the values identical to the mean, that is 0.
