Answer:
35.0 cm (to 3 significant figures)
Step-by-step explanation:
Circumference of a circle = 2d (where d is the diameter).
Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.
Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.
To find the diagonal, we use Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right angled triangle).
From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm. So:
9² + 15² = c²
81 + 225 = c²
306 = c²
c = √306 = 3√34
Therefore, the diameter of the circle = 3√34 cm
Circumference = 2d
= 2 x 3√34
= 6√34
= 35.0 cm (to 3 significant figures)
102
the angles are alternate so they add up to 180
180-78=102
hope this helps :)
if you need me to explain more just let me know :)
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>
The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
<h3>X Values
</h3>
- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values
</h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined
</h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives
Approximate
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
brainly.com/question/4219149
Answer:
Suppose that A and B are points on the number line.
If AB=11 and A lies at 6, where could B be located?
If there is more than one location, separate them with commas
Step-by-step explanation:
Suppose that A and B are points on the number line.
If AB=11 and A lies at 6, where could B be located?
If there is more than one location, separate them with commas
