Answer:
21.5cm²
Step-by-step explanation:
First you find out the Area of the square itself which is 100cm² (squared). Then you Find the Area of the circle. The formula to find the area of a circle is π × Radius². So you find the diameter of the circle (which is 10) and divide that by 2 to find the radius. So the radius is 5 but then you need to square 5 which is 25. Then you multiply 25 with pi which is 78.5 so the area of the circle is 78.5cm². Now what you have to do is subtract the area of the square and the area of the circle to find the area of the shaded region. 100-78.5 is 21.5cm ² and that is the answer.
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Answer:
Object will be at a distance of 358098.6 km from the source
Step-by-step explanation:
We have given angle = 0.0008 degree 
Radius is given = 2.50 km
Linear size of the object will be equal to diameter
So linear size = 2.5×2 = 5 km
We know that linear size 
So 
d = 358098.6 km
Answer:
100π
Step-by-step explanation:
We have to find the height. Since we have the base and hypotenuse of the triangle, we can use the Pythagorean Theorem to find the side. We have c^2 - a^2 = b^2; 13^2 - 5^2 = 144; sqrt144 = 12. The height is 12 and the radius is 5, so using V = (1/3)πr2h, we get (1/3)π(25)(12) = 100π
The z-score is calculated as (x - m) / s, where x is the actual score, m is the mean, and s is the standard deviation. In this case, x = 176, m = 154, and s = 9.8. Therefore z can be calculated as: z = (176 - 154) / 9.8 = 2.245, and the z-score of 2.245 means that 176 is 2.245 standard deviations above the mean.
