The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
- 5x ≥ 0 implies that x ≥ 0
- x + 3 ≥ 0 implies that x ≥ -3
Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
Answer: the answer is x the mitochondria
Step-by-step explanation:
<em>10 meters.</em>
Step-by-step explanation:
To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.
The Pythagorean theorem is...
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.
Since we know the values of both of the sides we can plug this into the theorem.
![6^2+8^2=c^2](https://tex.z-dn.net/?f=6%5E2%2B8%5E2%3Dc%5E2)
Now we can solve.
![36+64+c^2](https://tex.z-dn.net/?f=36%2B64%2Bc%5E2)
Add.
![100=c^2](https://tex.z-dn.net/?f=100%3Dc%5E2)
Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.
![\sqrt{100} =10](https://tex.z-dn.net/?f=%5Csqrt%7B100%7D%20%3D10)
c = 10
<em><u>The ramp is 10 meters.</u></em>
Answer:
28+ 20 = 48 because 48 take away 28 equals 20. so g is 20