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il63 [147K]
3 years ago
10

I need help please?!!

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
The answer is A

The quotient of n and the product of 5 and m
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The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
If M <1 = 115 degrees what is m <2
SIZIF [17.4K]

Answer:

M<2= 65

Step-by-step explanation:

The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.

You would use angle addition postulate to find the answer so M<1 + M<2 = 180.

Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180

Then you would subtract 115 from 180 in which you would get M<2 = 65

6 0
3 years ago
Explain what is meant by domain and range.
prohojiy [21]
The domain are the required input for a given function, while the range are the output or result from the function.
5 0
3 years ago
Read 2 more answers
To one decimal point how many millimeters are there in 57 inches
attashe74 [19]
1 inch =25.4 millimeters
therefore to calculate the number of millimeters that are in 57 inches we proceed as follows;
(25.4)/1*57
=1447.8/1
=1447.8 millimeters
The answer is 1447.8 mm
Therefore we conclude that there are 1,447.8 millimeters in  57 inches.

4 0
3 years ago
Explain how you could convert 152 cups into gallons.
Mila [183]

Answer: There are 16 cups in every gallon so we could divide 152 by 16 and get our number of gallons which would give us 9.63 or a little over 9 and a half gallons.

Step-by-step explanation:

4 0
3 years ago
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