Recall that
There are three cases to consider:
(1) When
, we have
and
, so
(2) When
and
, we get
and
, so
(3) When
, we have
and
, so
So
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
Answer:
8 over 7
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Glad I could help!!
Dory = 11 x Carly
Together => d + c = 156
11c + c = 156
12c = 156
C = 156 : 12
C = 13
Carly biked 13 miles
Dory = 11 x c = 11 x 13 = 143 miles
Prove
143 + 13 = 156 miles together
4 and 8 are corresponding angles. Corresponding angles are on the same side of parallel lines cut by a transversal
