Answer:
$180
Step-by-step explanation:
To solve, we can set up a proportion and solve.
You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work
45/7.5=x/30
Cross multiply
45*30=7.5*x
1350=7.5x
To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5
1350/7.5=7.5x/7.5
180=x
So, for 30 hours of work, you would earn $180
Answer:
The answer is below
Step-by-step explanation:
a) The integral 
means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am
b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:
c) Using casio calculator to evaluate the integral gives:
= 2.54 inches
D) The total daily change in water level = 
= 0.35 inches
Answer:
The last one (4 sqare root 3)
Step-by-step explanation:
The square root of 16 is 4 so then it would be 4 sqroot 3
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
