Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
2 minutes per lap. I think
Answer:
Step-by-step explanation:
hey i got the answer straight from my teach but ony a and c if you have the answer to b let me know : ( A) To determine the mean absolute deviation, first calculate the mean. Find the sum of the values: 8 plus 6 plus 9 plus 6 plus 14 plus 9 plus 5 plus 7 equals 64. Then divide the sum by the number of values: 64 divided by 8 equals 8. The mean is 8.
Next, find the distance of each value from the mean :
|8-8|=0 |6-8|=2 |9-8|=1 |6-8|=2 |14-8|=6 |9-8|=1 |5-8|=3 |7-8|=1
0 plus 2 plus 1 plus 2 plus 6 plus 1 plus 3 plus 1 equals 16. Then divide the sum of absolute deviations by the number of data values: 16 divided by 8 equals 2. The MAD of the data is 2.
C. Since the MAD for the vegetable plant data is so much higher than the MAD for the flower data, this indicates that the heights of the vegetable plants vary more than the heights of the flowers ALSO do you go to k12
Answer:
Area = 131.9167322
Step-by-step explanation:
I'm not sure what 2 DP means so you will need to do that part.
area=pi*radius^2
area=3.14*42 (approx)
The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>
The given parameters are:
Cost per cubic foot = $11.07 per cubic foot
Height = 40 feet
Diameter = 1.5 feet
Shape = Cylinder
The volume of the cylinder is calculated as:
V = πr^2h
Where
r = Diameter/2
So, we have
r = 1.5/2
Evaluate
r = 0.75
The volume of the cylinder becomes
V = 3.14 * 0.75^2 * 40
Evaluate
V = 70.65
The cost per cubic foot is $11.07 per cubic foot.
So, the cost of a utility pole is
Cost = $11.07 * 70.65
Evaluate
Cost = $782.1
Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
Read more about volume at:
brainly.com/question/1972490
#SPJ1
