Answer:
Step-by-step explanation:
<u>According to the triangle inequality theorem, any side length is less than the sum of the other two:</u>
- x < 2x + 1 + x + 4 ⇒ x < 3x + 5 ⇒ 2x > - 5 ⇒ x > - 2.5
- 2x + 1 < x + x + 4 ⇒ 2x + 1 < 2x + 4 ⇒ 1 < 4, any value of x
- x + 4 < x + 2x + 1 ⇒ x + 4 < 3x + 1 ⇒ 2x > 3 ⇒ x > 3/2
<u>Common solution of the three inequalities above is:</u>
Correct choice is C
Answer:
(5.9 , 1)
Step-by-step explanation:
(1 , 0) (1 , 2) length = 2
Third vertex ( x , y)
(x - 1)² + (y - 0)² = 5²
(x - 1)² + (y - 2)² = 5² isosceles triangle
(y - 2)² - y² = 0
-4y + 4 = 0
y = <u>1</u>
(x - 1)² + (1 - 0)² = 5²
(x - 1)² = 24
x - 1 = ± 2√6
x = 1 + 2√6 or x = 1 - 2√6
X in the 1st quadrant x = 1+2√6 = <u>5.9</u>
Answer:
6.4
Step-by-step explanation:
add all numbers together then divide by 5
Answer:
254.34
Step-by-step explanation:
Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.
