Answer:
The answer to your question is:
Step-by-step explanation:
a) There is no figure 0.
b) From one figure to the other there are 2 more cubes
c) Number of cubes = 3 + 2(n- 1)
where n is the number of figure
d)
Number of cubes in figure 100 = 3 + 2(100 - 1)
= 3 + 2(99)
= 3 + 198
= 201
Answer:
21
Step-by-step explanation:
-9=9
9+12=21
Answer:
x = 4
Step-by-step explanation:
y=-2 is a horizontal line so x must be a vertical line through (4,-2)
Answer:
y = x - 1 (third answer choice)
Step-by-step explanation:
From the given we see immediately that the slope of this line is -1. The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1. The slope-intercept form is y = mx + b. To find b, the y-intercept, we make the following substitutions: m = -1, y = -2, x = -2:
-2 = +1(-2) + b, or +1 = 2 + b, or b = -1
and so the desired equation is y = x - 1 (third answer choice)
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle
which can be found by using the following trigonometric ratio in
:

Which gives
to be:

Now, we know that
and
can be added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in
to solve for the height of the statue, h.
This can be done as:





Thus, the height of the statue is approximately, 8.45 feet.