Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
In this question:
We have to derivate the equation of the area implicitly in function of time. So
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is when
Area is 24, so the base is:
Then
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
Parallel
Step-by-step explanation:
Let the required lines be y-x = 5 and y = x-1
If y-x = 5
y = x + 5
The slope m = 1
For the line y = x - 1
The slope m is also 1
Since the slope of both lines are the same, hence both liens are parallel
Answer:
B Positive, because the products (-5)(-2) and (-7)(-6) are positive and the product of two positive numbers is positive
Step-by-step explanation:
(-5)(-2)(-7)(-6)
Negative times a negative is positive
+ (-7)(-6)
Negative times a negative is positive
+ * +
Positive times a positive is positive
Answer:
432 square inches
Step-by-step explanation:
The 27 smaller cubes each have a dimension that is 1/∛27 = 1/3 the dimension of the larger cube. That is, each is a 2" cube. Their total surface area is ...
(27 cubes)(6 faces/cube)((2 in)²/face) = 648 in²
The painted surface area of the larger cube is ...
(6 faces/cube)((6 in)²/face) = 216 in²
Subtracting the painted cube area from the total cube area of the smaller cubes, we have an unpainted area of ...
648 in² -216 in² = 432 in² . . . unpainted area
Answer:
NOT UNDERSTANDING I'LL COME BACK TO HELP U
Step-by-step explanation: