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: 60
Step-by-step explanation:
Answer:
y = 26
Step-by-step explanation:
The angles of a linear pair total 180°.
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(2y +1)° +(5y -3)° = 180° . . . . the sum of the angles is 180°
7y -2 = 180 . . . . . . divide by °, collect terms
7y = 182 . . . . . . . . add 2
y = 26 . . . . . . . . . divide by 7
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<em>Additional comment</em>
The angle measures are (2(26) +1)° = 53°, and (5(26) -3)° = 127°. These total 180°, as they should.
Question 2: B
(x+4) is canceling out so it is the hole.
x+4=0 and x= -4 is the hole.
(x+1)=0 is vertical asymptote so x= -1 is vertical asypmtote.
Question 3: D
x²-5x-14 factors to (x-7) and (x+2)
(X+2 )cancel outs so it is a hole at x= -2
x-7=0 and x=7 is a vertical asymptote
