Answer:
In a 30-60-90 triangle, the hypotenuse (or diagonal) times .5 equals the short side or the width (height) of the tv.
width or height = 15
and the "medium" side = 30 * (sqrt (3) /2).
medium side = 30 * (1.732 / 2)
medium side = 30 * .866
medium side (or width)= 25.98
so the exact width and height is:
width = 25.98
height = 15
Source: https://www.1728.org/trig2.htm
Step-by-step explanation:
Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
Answer:
6/11!
Step-by-step explanation:
Reduce the expression, if possible, by canceling the common factors.
Exact Form:
6/11
Decimal Form:
0.54
Answer:
Rotation.
Step-by-step explanation:
There are three rigid motions (which do not change the shape and size of the figures): rotation, translation and reflection.
You make a rotation of a figure when you turn it about a fixed point (which can be inside, on an edge or outside the figure) and it is measured in degrees. The rotation can be clockwise or counterclockwise.
Answer:
Not congruent; not congruent; congruent; congruent; not congruent; not congruent
Explanation:
In order to be congruent, the side lengths of both triangles must be equal.
The base of triangle ABC is 2 units. The base of triangle MNP is also 2 units. The height of triangle ABC is 3 units; but the base of triangle MNP is not 3 units, it is 4. The triangles are not congruent.
Similarly, both ABC and EFG have a base of 2 units. However, the height of ABC is 3 while the height of EFG is 4; the triangles are not congruent.
The bases of ABC and STU are both 2 units, and the height of each is 3 units. The triangles are congruent.
The base of EFG is 2, as is the base of MNP. Both triangles also have a height of 4; the triangles are congruent.
The base of EFG is 2 units, as is the base of STU. However, the height of EFG is 4 while the height of STU is 3; the triangles are not congruent.
The base of STU is 2 units, as is the base of MNP. However, the height of STU is 3 while the height of MNP is 4; the triangles are not congruent.