Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Answer: (-4, 0) U (1, ∞)
Answer:
<em>The surface area is multiplied by 4/9.</em>
Step-by-step explanation:
<u>Surface Area of a Cone</u>
Being r the radius and l the slant height of a cone, then its surface area is

Now let's think both the radius and the slant height are multiplied by the same factor k, i.e.
r'=kr
l'=kl
The new surface area is


The new surface area is the
times original SA. Since k=2/3, then

The surface area is multiplied by 4/9.
Answer:
22.9m
Step-by-step explanation:
Using Pythagorean theorem, we can get two equations using the angles.
From Point A:
∠A = 20°
AB = 20m
From Point B:
∠B = 29°
BD = x
What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.
So we use this formula for both point of views:

Where:
Opposite = height of the building
Adjacent = distance from the building
We are looking for the opposite side so we can tweak our formula to get an equation for the height

Using our given, we can solve for the distance of point B to D:

The distance of point B to D is 38.2572 m.
Now that we know the distance of BD we can solve for the height of the building using only the given from point B.




But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.
21.21m + 1.7m = 22.91m
The closest answer is: 22.91 m