Answer:
Step-by-step explanation:
The missing figure is attached.
Direct variation equations have the following form:
Where "k" is the Constant of variation.
Since the width of the rectangle varies directly as its length, you can write this equation:
Where "l" is the lenght in inches and "w" is the width in inches of the rectangle.
Observe in the figure that when ; then you can substitute them into the equation and solve for "k":
Therefore, the width is:
Since the area of the rectangle can be calculated multiplying its lenght by its width, you get that the area of the rectangle that is 15 inches long is:
Answer:
28inches
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A + 65° +93° = 180°
∠A + 158° = 180°
∠A= 180°-158° = 22°
Using Law of Sines
a/sinA= b/sinB
a/sin22= 68 inches/sin65
a/sin22 = 68/0.9063 = 75.03
a = 75.03 x sin 22
a = 75.03 x 0.3746 = 28.106238≈28 inches
Add it all up then you will get your answer
Answer: V = 48
Step-by-step explanation:
V = lwh
Height is 12
Knowing the base has an area of 4, we can assume that the prism either has a length of 2 and width of 2, or length of 4 and width of 1. Either way will provide the same answer.
Now we can solve.
V = lwh
V = (12)(4)(1)
V = (12)(4)
V = 48
Answer:
Step-by-step explanation:
64x³-64x²-9x+14