Answer:
30°
Step-by-step explanation:
The area of a triangle given sides a and b and angle C is:
area = (ab × sin C)/2
Here we are given sides a and c, and we are looking for angle B, so we have
area = ac × sin B
12 cm² = [(8 cm)(6 cm)(sin B)]/2
24 = 48sin B
sin B = 0.5
B = 30°
Answer:
120 MW/hour
Step-by-step explanation:
The formula of the average rate of change between two points in a function is:
Average rate of change (ARC) = f(x2) -f(x1)/(x2-x1)
Let's think the power demad as a function d(x) depending of the hour of the day, so the variable x= hour of the day.
Now we have:
d(5)= 1600
d(8)= 1960
If we apply the mentioned ARC formula = [d(8)-d(5)] MW/(8-5)hour= (1960-1600)MW/3hour= 360/3=120 MW/Hour
If 2 sets are disjoint means they have not any common element.
Draw a rectangle & inscribe inside this rectangle 2 circles that do not intersect.
cercle₁ ∩ cercle₂ =Ф.
Their complement would be the part of the rectangle - the 2 circles
8/5x = 1
or
1.6x = 1
Work:
Add 7/3x and 1/3x to make 8/3x. Equation: 8/3x = 1 + 5/3x
Divide 8/3x by 5/3x, looks like 8 over 3 times 3 over 5. 3s cancel each other out, leaving 8/5x. Equation: 8/5x = 1
If needed to be simplified, 8/5 = 1.6.
In order to find the scale they are using first you must divide 12 by 3.75.
But since we get to estimate, the 3.75 will be made into a 4 because it's the whole number closest to 3.75.
12/4=3
Take your 3 inch scale and multiply it by 3 (we are using 3 instead of 2.8 because it's a whole number) to get the real life fence size.
3x3=9
The fence is about 9 feet.
