Answer:
area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad
Answer:
rate of change= x= 4 y= 20
slope= rise/run= change in y values/change in x values
slope= 20/4
i believe this is right, i could be wrong, i haven't done it in a long time.
Too add mixed numbers, first convert them to improper fractions:
34/5 + 53/10
Next, find a common denominator, which in this case is 10.
Convert 34/5 so that it has a denominator of 10 by multiplying the ENTIRE fraction by 2: 68/10
68/10 + 53/10 = 121/10
You can either give your answer in the form of an improper fraction: 121/10, or a mixed number 12 1/10
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
Answer:
x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z
or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z
Step-by-step explanation:
Solve for x:
sin(x) = 1.5
1.5 = 3/2:
sin(x) = 3/2
Take the inverse sine of both sides:
Answer: x = π - sin^(-1)(3/2) + 2 π n_1 for n_1 element Z
or x = 2 π n_2 + sin^(-1)(3/2) for n_2 element Z