Answer: ![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)
Step-by-step explanation:
Given
Inequality is 
Taking variables one side

Using wavy curve method
![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)
96 can be divided by many number such as 1, 2 , 3 ,4 ,6, 8 ,12, 16, 24, 32, 48.
Answer:
170°
Step-by-step explanation:
Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.
A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.
Therefore the angle at Chicago is C.
From cosine rule:
c² = a² + b² - 2ab × cos (C)
2ab × cos (C) = a² + b² - c²
cos (C) = (a² + b² - c²) / 2ab
Substituting:
cos (C) = (1744² + 714² - 2451²) / 2×1744×741
cos (C) = -0.986
C = cos⁻¹ (- 0.986) = 170°
Answer:
29.42 units
Step-by-step explanation:
<u>1) Find the perimeter around the semi-circle</u>
To do this, we find the circumference of the circle using the given diameter:
where d is the diameter
Plug in 6 as the diameter

Divide the circumference by 2

Therefore, the perimeter around the semi-circle is 3π units.
<u>2) Find the perimeter around the rest of the shape</u>
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those <em>vertical</em> sides facing the right add up to 6. We also know that all of those <em>horizontal </em>sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
<u>3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape</u>

Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
The square root of -1 is I