The area of the shaded region is 15.453 square units.
Step-by-step explanation:
Step 1:
The given shape consists of a rectangle and two circles.
The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.
The diameter of the circle is equal to the width of the rectangle.
So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.
Step 2:
The area of the rectangle
square cm.
The area of each circle
square cm.
The area of both circles
square cm.
The area of the shaded region is the difference between the area of the rectangle and the area of both circles.
The area of the shaded region
square units.
The area of the shaded region is 15.453 square units.
x=7 or x=-6
Let's solve your equation step-by-step.
0.25x2−0.25x−10.5=0
For this equation: a=0.25, b=-0.25, c=-10.5
0.25x2+−0.25x+−10.5=0
Step 1: Use quadratic formula with a=0.25, b=-0.25, c=-10.5.
x=
−b±√b2−4ac
2a
x=
−(−0.25)±√(−0.25)2−4(0.25)(−10.5)
2(0.25)
x=
0.25±√10.5625
0.5
x=7,−6
Answer:
C. UVW
Step-by-step explanation:
A proportion box can be used to solve this problem. First, we need to compute the difference or change in the original amount of visitors Alec had (in February) and the new amount of visitors (in March).
1,525 - 1, 385 = 140
We place this amount (140) in the top left of our box, and we place the original amount (1,525) in the bottom left of our box. We are looking for the percentage decrease, so that box in the upper right will stay empty. The number 100 always goes in the bottom right of our percent proportion box.
(The attached image will show an example of how to set this up).
Our last step is to cross multiply and divide.
140 x 100 = 14,000
14,000 ÷ 1,525 = 9.18
So, the percentage decrease of the number of visitors to Alec's website from February to March was 9.18%.
Answer:
see below
Step-by-step explanation:
The minimum is the left side of the whisker = 0
The maximum is the right side of the whisker = 13
Range is max - min = 13-0 = 13
Median is the middle line in the box = 4
Interquartile range is the right side of the box - left side of the box = 6 - 1 = 5