I bet you're doing the Law of Sines right now. If you use the law of sines you find out that angle A is a 90 degree angle. There is only one triangle you can make with these measurements because if you have one angle of 30 and another of 90, the 3rd angle has to be a 60 degree angle. So it is a special right triangle, 30-60-90
The original volume of the given prism is
l*w*h = 162
where l = length, w = width, h = height
Reducing 1/3 of each sides,
(1/3)l*(1/3)w*(1/3)h=(1/27)162
Thus,
The new volume is 162/27 = 6 cubic cm
U = (-2,3)
V = (3,0)
midpoint of UV
= ( (3-2)/2 , (3+0)/2 )
= ( 1/2 , 3/2)
= ( 0.5 , 1.5)
X = (0.5 , 1.5) [from fig]
midpoint of UV = X
W= (-2,-3)
V =( 3.0)
Y = ( (-2+3)/2 , (-3+0)/2 )
= (0.5 , - 1.5)
Y = ( 0.5 , -1.5) [ from fig ]
Y is the midpoint of WV
by midpoint theorem ,
UW = 2( XY )
Answer:
Step-by-step explanation:
85
The formula for solving a rhombus is A = P*Q/2
5.5×4 =22
22÷2 = 11
Awnswer: 11 cm²
