Answer:
length = 8
width = 4
Step-by-step explanation:
Area = length x breadth
Let x represent the width
length = x + 4
32 = x × (x + 4)
32 = x² + 4x
x² + 4x - 32 = 0
solving using quadratic equation =
(x² - 4x) -32 + 8x
x = 4 or -8
since width cannot be a negative number, we would use 4
Answer:
-6.1
Step-by-step explanation:
Hope this helps!
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
Answer:
162
Step-by-step explanation:
Note that you can split the given shape into a triangle and a rectangle.
Area of rectangle = base x height
base = 12
height = 9
Plug in the corresponding numbers into the corresponding variables:
Area of rectangle = 12 x 9
= 108
Area of triangle = (base x height)/2
base = 12
height = 9
Area of triangle = (12 x 9)/2
= (108)/2
= 54
Next, add the two areas together to get the full area:
108 + 54 = 162
162 is your answer.
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Answer:
a ≈ 8.9
Step-by-step explanation:
Set up the equation as so:
8a^2 + 2 = 634
First, subtract two from both sides:
8a^2 = 632
Then, divide by 8 to further isolate the variable.
a^2 = 79
To get rid of the squared, you have to take the square root of both sides. The square root of 79 is roughly 8.9. Ergo, a ≈ 8.9
