Answer:
![R = 9.63\ units](https://tex.z-dn.net/?f=R%20%3D%209.63%5C%20units)
Step-by-step explanation:
Given
![AB = BC = 17](https://tex.z-dn.net/?f=AB%20%3D%20BC%20%3D%2017)
![AC = 16](https://tex.z-dn.net/?f=AC%20%3D%2016)
Required
Determine the circumradius, R
The circumradius is calculated as follows;
![R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7BAB%20%2A%20BC%20%2A%20AC%7D%7B%5Csqrt%7B%28AB%20%2B%20BC%20%2B%20AC%29%28AB%20%2B%20BC%20-%20AC%29%28AB%20%2B%20AC%20-%20BC%29%28AC%20%2B%20BC%20-%20AB%29%7D%7D)
Substitute the values of AB, BC and AC
![R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B17%20%2A%2017%20%2A%2016%7D%7B%5Csqrt%7B%2817%20%2B%2017%20%2B%2016%29%2817%20%2B%2017%20-%2016%29%2817%20%2B%2016%20-%2017%29%2816%20%2B%2017%20-%2017%29%7D%7D)
Evaluate the denominator
![R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B17%20%2A%2017%20%2A%2016%7D%7B%5Csqrt%7B%2850%29%2818%29%2816%29%2816%29%7D%7D)
![R = \frac{4624}{\sqrt{230400}}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B4624%7D%7B%5Csqrt%7B230400%7D%7D)
Take square root of 230400
![R = \frac{4624}{480}](https://tex.z-dn.net/?f=R%20%3D%20%5Cfrac%7B4624%7D%7B480%7D)
<em>(Approximated)</em>
<em>Hence, the circumradius is 9.63</em>
Distributive property: a(b + c) = ab + ac
4n - 2 - 2n = 2(2n - 1 - n)
4n - 2 - 2n = 2n - 2 = 2(n - 1)
Answer:
They are not similar
Step-by-step explanation:
To see whether the triangles are similar or not we can compare their side lengths:
AB = 24
AX = 6
AX/AB = 1/4 is the ratio now let's compare this to AY/AC
AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.
4x divide 16 3x-4y it is the answer
Answer:
the answer of the expression is 42
Step-by-step explanation:
PEMDAS parenthesis are first so we start out with 6x9x1 and the answer to that is 54, next is MULTIPLICATION so we take 1/2 times 52 which is 27 then next is ADD so we add 15 and the answer is 42