Answer: 4 pages in 10 minutes
explanation: 2.5min/page
Answer:
a) Triangle
b) Rectangle
Step-by-step explanation:
A triangular prism that has an equilateral base and a height with the same length as the base of the prism.
a) Shape from horizontal slicing
A plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).
b) Shape from vertical slicing
If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.
Answer:
13
Step-by-step explanation:
17 - 2/3(6)
17 - 4
13
sub in 6 for x to find g(6) instead of g(x)
Answer:
I believe that it is 2, I'm not 100% but ill take the guess
Step-by-step explanation:
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>
==============================================
Work Shown:
Let x = HC and y = BH
AH = 12-x since AH = 12-HC and x = HC
---------------
See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible
HC/BH = BH/AH
x/y = y/(12-x) ... substitution
x(12-x) = y^2 ... cross multiply
y^2 = -x^2+12x
note how I isolated y^2 instead of y. We will use this equation later.
---------------
Focus on triangle AHB. Use the pythagorean theorem
(BH)^2 + (AH)^2 = (AB)^2
(y)^2 + (12-x)^2 = (9)^2
y^2 + 144-24x+x^2 = 81
-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x
-x^2+12x + 144-24x+x^2-81 = 0
-12x + 63 = 0
-12x = -63
x = -63/(-12)
x = 5.25 <<-- answer in decimal form
x = 5 + 0.25
x = 5 + 1/4
x = 20/4 + 1/4
x = 21/4 <<-- answer as a fraction