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Ber [7]
3 years ago
8

Can someone help me plz

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
The answer is B,which is 454 to be exact
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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
2 years ago
Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probabi
Andrew [12]

Answer:

The expected loss is $275 million.

Step-by-step explanation:

Expected loss can be determined as the sum of the product of each possible loss by the its probability of occurence. In this situation, there are only two possible losses listed since the probability of no loss doesn't add any value to the expected loss and should be disregarded.

Expected loss (in millions) = EL

EL = (300*0.25)+(800*0.25)\\EL = 275

The expected loss is $275 million.

6 0
3 years ago
A taxi fare has a fixed charge of 1.75 and an additional charge 0.45 per mile. A fare for m miles is 13.90. Which equation could
Pavel [41]

Answer:

The answer is 27 miles and option b will give that.

Step-by-step explanation:

1.75 + 0.45m = 13.90

m = (13.90 - 1.75) / 0.45

m = 27 miles

Hope this helped

3 0
3 years ago
Which option is correct?
bogdanovich [222]

Answer:

Radius : 3 inches

Height : 2 inches

Step-by-step explanation:

π \times (radius {)}^{2}  \times (height)

π \times  {3}^{2}  \times 2

π \times 9 \times 2

9 \times π \times 2

18\pi

<h3>Hope it is helpful...</h3>
3 0
2 years ago
Number 2 please thanks
Alex

Answer:

c) 2x+1

Step-by-step explanation:

Let's x be number of Nick's goals.

Emma has scored 1 more than twice the number of Nicks.

1 more is +1, of twices the number is 2x.

so 2x+1=15

6 0
2 years ago
Read 2 more answers
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