Answer:
48°
Step-by-step explanation:
Given the trigonometry equation
sin(52)= cos(5x-2)...1
According to the quadrant:
Sin(θ) = cos(90-θ)
Sin52 = cos(90-52)
Sin52 = cos48... 2
Substituting 2 into 1:
Cos48 = cos(5x-2)
48 = 5x-2
5x = 48+2
5x = 50
x = 10°
The smallest of the angle will be angle 5x-2 = 5(10)-2
= 50-2
= 48°
The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Answer:
the coordinates of A is: (0,3) the coordinates of B is: (1,2) the coordinates of C is:
Step-by-step explanation:
Answer: Felipe made 24 sand art bottles.
Step-by-step explanation:
Given: Total different colors of sand = 9
Weight of each color sand = 1 pound
Then, the weight of all 9 colors would be 9 × 1 = 9 pounds
Since 1 pound = 16 ounces
Then, 9 pounds = 9 × 16 = 144 ounces
capacity of each bottle = 6 ounce
Then, the number of bottles required = ( 144 ounces) ÷ 6
= 24
Hence, Felipe made 24 sand art bottles.
Answer:
24 buckets
Step-by-step explanation:
Given that :
Dimension of rectangular block = 45 m by 38 m
A bucket of paint will cover 72m² of floor
Total area of floor : Length * Width
Total Area = (45m * 38m) = 1710 m²
Buckets of paint required :
Total area / Area per bucket
= 1710m² / 72m²
= 23.75 buckets
= 24 buckets
