Answer:
C) 56
Step-by-step explanation:
DEG and FEG are on a straight line forming 180 degree.
Set your formula up as
180 = (3x+31)+(2x-6)
180 = 3x +2x +31 - 6
180 - 31 + 6 = 5x
155 = 5x
155/5 = x
31 = x
Now substitute 31 in place of x
FEG = (2*31-6)
FEG = 56
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Answer:
4y + 1 = 4 - 5y
First option
Step-by-step explanation:
x - 4y - 1 =0; add both sides by + 4y + 1
x - 4y - 1 + 4y + 1 = 0 + 4y + 1
Simplifying
x = 4y + 1
x + 5y - 4 = 0; Add (-5y + 4) to both sides
x + 5y - 4 -5y + 4 = 0 -5y + 4
Simplying
x = -5y +4
x = 4 - 5y
Now you have both equations
x = 4y + 1
x= 4 - 5y
Now you can use the comparison method
4y + 1 = 4 - 5y
The law of cosines for this particular situation is b^2 = a^2 + c^2 - 2ac cosB.
Filling in what you know, you have b^2 = 25 + 49 - [2(5)(7)-.1908], which simplifies to b^2 = 74 - 69.8092 which gives you a b^2 value of 4.1908, but you have to take the square root of that so you get a side value for b of 2.05.
Answer:
a
Step-by-step explanation:
