Answer:
How to choose which trig function to use based on an angle? I'm assuming that's simpler form of the question hehe
Step-by-step explanation:
pick an angle, and look at the sides that you HAVE
if you have the side opposite to the angle, and the hypotenuse of the triangle you use sine.
if you have the side adjacent to said angle, and the hypotenuse, you use cosine.
and if you don't have the hypotenuse, but you have the other two sides, you use tangent.
Let each side perpendicular to the wall be x
The parallel to the wall will be 320-2x
the area will be:
A(x)=x(320-2x)
A(x)=320x-2x^2
This is a quadratic with a =-2 and b=320
Maximum area will occur where x=-b/2a
=-320/(-2*2)
=80 ft
thus the width will be 80 ft and the length will be:
length=320-2*80=160 ft
Answer:
1 9/50
Step-by-step explanation:
So, /(100÷2) = 59/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 118/100 is also equal to 1 9/50 when expressed as a mixed number.
Answer:
hxahjbcbchbcjsj
Step-by-step explanation:
Answer:
32°, 36°, 112°
Step-by-step explanation:
All of the angles are described in terms of the first angle, so we can use a variable to represent that: x. The second angle is (x+4) and the third angle is (3x+16). As always, the sum of angles in a triangle is 180 degrees:
x +(x +4) +(3x +16) = 180
5x +20 = 180 . . . . . collect terms
5x = 160 . . . . . . . subtract 20
x = 32 . . . . . . . divide by 5
x+4 = 36 . . . . find the other two angles
3x+16 = 3(32) +16 = 112
The angles of the triangular yard are 32°, 36°, and 112°.
