<h3>3 answers: Choice A), Choice C), Choice D)</h3>
========================================================
Explanation:
We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:
b-a < c < b+a
3-3 < c < 3+3
0 < c < 6
The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.
Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.
Answer:
a) The can can hold 24.54 inches³ of pop
b) There will be 22.09 inches³ of pop in the can
c) The cone can hold 7.36 inches³ of pop
Step-by-step explanation:
a) We need to work out the volume of the can, using this equation: volume of a cylinder = πr²h
- The diameter is half the radius: r = 1.25 inches
- r² = 1.5625
- π × 1.5625 × 5 = 24.54369... ≈ 24.54 inches³
b) We will still work out the volume of the can, but the height is 4.5 inches instead of 5 inches:
- r² = 1.5625
- π × 1.5625 × 4.5 = 22.0893233... ≈ 22.09 inches³
c) The cone will have a height of 4.5 inches and a diameter of 5 inches; the volume of a cone = 1/3(πr²h)
- 1/3(π × 1.5625² × 4.5) = 7.3631077... ≈ 7.36 inches³
Hope this helps!
So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !
Answer:
B
Step-by-step explanation:
B: 1 = 3×1 -2 = 1
4 = 3×2 -2
Answer:
yes
Step-by-step explanation:
yes because that is literally what he used
