Answer:

Step-by-step explanation:
Given
tan x =
, then
x =
(
) = 60° ← related acute angle
Since 180° < x < 270° and tan x > 0 then x is in third quadrant
x = 180° + 60° = 240°
and
sin(x - 210)°
= sin(240 - 210)°
= sin30°
= 
Answer:
The walk will cost $8164.
Step-by-step explanation:
Given:
Diameter of the circular pond (D) = 24 yd
Width of the gravel path (x) = 2 yd
Cost per yard of the path = $50
Now, radius of the circular pond is half of the diameter and is given as:

Now, area of the pond is given as:

Area of the complete path including the pond area is given as:

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

Now, using unitary method,
Cost of 1 square yard of path = $50
∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164
Hence, the walk will cost $8164.
Answer:
-3.7
Step-by-step explanation:
1. More = Addition
2. 0.65 + -4.35 = -3.7
Answer:
Step-by-step explanation:

In exponent multiplication, if the bases are same then add the exponents.
380/20 = 19
The car can go 19 miles on 1 gallon of gas.
75 * 19 = 1,425
You can drive 1,425 miles on 75 gallons.