Answer:
47+ y = 180 (linear pair)
y = 133
Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer: Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
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
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.
5+x>12
8+x>20 and it's system
x>7
x>12
general solution is x>12
<span>The least possible integral is 13.
PS: It's may be </span>yet 12, but in this case, triangle BCD become segment.
