Answer:
3√3 units
Step-by-step explanation:
We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.
Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,
Plug in the value of a that is 6 , we will get ,

Sorry, I can't draw a picture, but I can help answer the question...
The way to determine the area of a square or rectangle is to multiply the base and the height, which in this case, is 24 and 18. So 24 times 18 is 432. Therefore, the amount of glass needed to repair the window is 432 inches squared.
Hope that helps!
Answer:
7
Step-by-step explanation:
The segment perpendicular to the chord bisects it. The hash marks indicate that both chords are the same length, so their distance from the center is the same. x = 7
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
To answer the problem we would be using the formula:v=λ*f
where v=343 m/s
length of standing wave
λ=2*L=1.6m (since both of the ends are open),
L=80.0cm =0.8m; but we are going to rearrange it.
Therefore fundamental frequency is:
f=v/λ
= 343/(2*0.8)
=214.375 Hz