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Bas_tet [7]
2 years ago
8

What is the scale factor?

Mathematics
1 answer:
son4ous [18]2 years ago
8 0
Scale factor is 9/15 or 3/5 in simplest form, and I think x would equal 10.
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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!
miv72 [106K]

Step-by-step explanation:

4) 24/30=4/5

5) 2/24=1/12

6)14/84=1/6

7) 20/45=4/9

8)7/49=1/7

8 0
2 years ago
Read 2 more answers
What inequality is shown here
Luda [366]

Answer:

Greater than or equal to.

Step-by-step explanation:

6 0
3 years ago
Match the following items.
IgorLugansk [536]

Answer:

#1 is 3x + 4 =-17 #2 is 3x =-21 #3 is x = -7 #4 is 2x + x +4 = -17

Step-by-step explanation:

#1 gives you the problem ready to be worked out. #2 all you need to do to finish it is divide both sides by 3. #3 the answer is already there. #4 You need to combine the like terms then solve the problem.

3 0
3 years ago
What do you think of when you hear "decimal notation
Vera_Pavlovna [14]

Answer:

The notation of decimals is the written form of base 10 place value.

8 0
3 years ago
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