C because you have to multiply the four measures together.
You can put this solution on YOUR website!
If 15^2 = 9^2 +12^2, the triangle satisfies the Pythagorean Theorem for a right triangle.
Is (15^2 = 81 + 144)?
Is (225 = 225)? Yes
Therefore the given triangle is a right triangle. Let the vertex of the right angle be C, the leg AC is 12, the hypotenuse AB is 15 and the leg BC is 9. The line perpendicular to the hypotenuse at a point D that connects to the vertex C is the "height" of the triangle ABC. It can be shown that the three angles of the triangle ABC are equal to those of triangle CBD. Thus triangle ABC is similar to CBD. The problem is to find the lenght of the line CD.
Using proportions of corresponding sides we have
CD/9 = 12/15
CD = 9*12/15
CD = 36/5
Answer: the line is 7.2 cm.
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
The equation of a circle of <u>radius r and center</u>
is given by:
![(x - x_0)^2 + (y - y_0)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_0%29%5E2%20%2B%20%28y%20-%20y_0%29%5E2%20%3D%20r%5E2)
- The diameter is <u>twice the radius</u>, and is the <u>maximum distance</u> between two points inside a circle.
In this problem, the circular path is modeled by:
![x^2 + y^2 - 10x - 18y - 378 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20-%2010x%20-%2018y%20-%20378%20%3D%200)
We complete the squares to place it in the standard format, thus:
![x^2 - 10x + y^2 - 18y = 378](https://tex.z-dn.net/?f=x%5E2%20-%2010x%20%2B%20y%5E2%20-%2018y%20%3D%20378)
![(x - 5)^2 + (y - 9)^2 = 378 + 25 + 81](https://tex.z-dn.net/?f=%28x%20-%205%29%5E2%20%2B%20%28y%20-%209%29%5E2%20%3D%20378%20%2B%2025%20%2B%2081)
![(x - 5)^2 + (y - 9)^2 = 484](https://tex.z-dn.net/?f=%28x%20-%205%29%5E2%20%2B%20%28y%20-%209%29%5E2%20%3D%20484)
Thus, the radius is:
![r^2 = 484 \rightarrow r = \sqrt{484} = 22](https://tex.z-dn.net/?f=r%5E2%20%3D%20484%20%5Crightarrow%20r%20%3D%20%5Csqrt%7B484%7D%20%3D%2022)
Then, the diameter is:
![d = 2r = 2(22) = 44](https://tex.z-dn.net/?f=d%20%3D%202r%20%3D%202%2822%29%20%3D%2044)
The maximum distance is the <u>diameter of the circle</u>, which is of 44 units.
A similar problem is given at brainly.com/question/24992361
Answer:
72π (I think)
Step-by-step explanation:
Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do
to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.
7/8 measured to the 16ths
14/16 <<<< ANSWER
8*2=16
7*2=14
whatever you do to the denominator is done to the numerator.