Answer:
54.5°
Step-by-step explanation:
You know that in a right triangle, the sine of an angle is given by ...
Sin = Opposite/Hypotenuse
sin(D) = EF/ED = 57/70
The inverse sine function is used to find the angle:
∠D = arcsin(57/70)
∠D ≈ 54.5°
Answer:
<h2>277 degrees clockwise.</h2>
Step-by-step explanation:
This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.
Assuming 8 dozen is 96 not 8000000000000 it would be 9.6x10¹. If it is 8000000000000 then it's 8x10¹²
Perimeter:
The perimeter of the triangle is the sum of its sides.
We have then:
P = 8 + 12 + 10
P = 30 units
Semi-perimeter:
In geometry, the semiperimeter of a polygon is half its perimeter.
s = P / 2
s = 30/2
s = 15 units.
Area:
Knowing the semiperimeter and the sides, the area is:
A = root (s * (s-a) * (s-b) * (s-c))
where,
s: semi-meter
a, b, c are sides.
A = root (15 * (15-8) * (15-12) * (15-10))
A = 39.68626967
A = 40 units ^ 2
