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andreyandreev [35.5K]
3 years ago
6

14 2/3 divided by 3/4

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
I think the answer is 19.46
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If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
Subtract (5y3 + 6y + 3y4) from (4y4 - 8y3).
givi [52]
41y is the answer have a nice day
7 0
3 years ago
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Kara is making clothes for Pinkie Pie. Each outfit she makes requires 1/2 yard of fabric. How much fabric will she need for 5 ou
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Answer:

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Step-by-step explanation:

if each outfit requires 1/2 just multiply it by 5

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10•1/2+(-6)(-3) Simplified in steps
dangina [55]

Answer:

23

Step-by-step explanation:

1)  (10*0.5)+(-6*-3)

2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"

3) 5+18=23

7 0
3 years ago
What is the range of the data below 33, 38, 35.5,39.25, 31.75​
Lunna [17]

Answer:

1.25

Step-by-step explanation:

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2 years ago
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