Direct variation means y=kx (inverse variation is yx=k or y=k/x)
so we are given that:
75=k/2, so k=150 which means:
y=150x now
y(2.25)=150(2.25)=337.5
.we can call segment "a" the radius, and if we do that, we calculate the area of the triangle as follows:
Look at the vertical line bisecting the triangle, made up of segments of length "a" and "h"
Now look at the smaller, right triangle towards the bottom left of the equilateral triangle, with sides "a", "h", and "S/2".
If we're taking "a" to be the radius (in our case 6 inches), then
h
a
=
sin
30
degrees, so
h
6
=
0.5
, so h = 3 inches. Therefore the height of the equilateral triangle is
6
+
3
=
9
inches.
The original equilateral triangle in the figure is bisected by the vertical line, making 2 right triangles of height 9 inches and a base of length S/2.
S
2
a
=
cos
30
, so
S
2
=
0.866
⋅
6
=
5.196
inches (rounding).
So, the original equilateral triangle in the figure is twice the area of this larger right triangle. A right triangle's area is
1
2
b
⋅
h
. We have TWO of them, so the total area is
2
⋅
1
2
b
⋅
h
=
5.196
⋅
9
...which works out to:
46.77 square inches (rounding)
GOOD LUCK
Answer:
This is because the triangle divided by segment SR is a scalene triangle. Since the downer quadrilateral has 5 edges of different lengths and angles( without 90°), it must be a trapezoidal quadrilateral
The answer is c. Living organisms modify their environment a little at a time.
The purpose of succession is for an ecosystem to reach balance state right after it is formed or after it is disturbed by man or some disasters. It will increase biodiversity and help to prevent the desertification. Living organisms modify environment a little at a time. By modifying it, they make the environment more suitable for the new species to enter the community.
Step-by-step explanation:
<em>it's </em><em> </em><em>absolutely </em><em>correct </em><em>.</em><em>.</em>