Answer:
x= 20
Step-by-step explanation:
The three angles add to 90 degrees
x+2x+x+10 = 90
Combine like terms
4x+10 = 90
Subtract 10 from each side
4x +10-10 = 90-10
4x = 80
Divide by 4
4x/4 = 80/4
x = 20
<span>f = v + at
Subtract v from both sides.
f - v = at
Divide both sides by a.
(f - v)/a = t
Switch sides.
t = (f - v)/a
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After 12 months, Quynh will have saved $800
Simply follow the pattern shown on the graph.
Month 1: 250
Month 2: 300
Month 3: 350
Month 4: 400
Month 5: 450
Month 6: 500
Month 7: 550
Month 8: 600
Month 9: 650
Month 10: 700
Month 11: 750
Month 12: 800
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
