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3 years ago

sovle the given equation below. y = csc(167) y = [?] Rationalize the denominator if necessary. Enter

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Explanation is in the file

tinyurl.com/wpazsebu

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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

I need help on question 2. Any help is appreciated:)

zlopas [31]

All the y values would be 0, since it’s a horizontal line

3 0

3 years ago

Two cars drive on the same highway in the same direction. The graphs show the distance, , of each one as a function of time, . W

WINSTONCH [101]

Answer:

Car b

Step-by-step explanation: Because it’s going higher on the graph because it’s going more straight than car a which is going more sideways

6 0

3 years ago

PIT_PIT [208]

B : 4% of 780 is 31.20

4 0

2 years ago

A plant grows the same amount every week. Which graph matches the situation described? b e .

dem82 [27]

Answer:

Option A

Step-by-step explanation:

Let the height of plant is 'b' units.

Graph representing the height of the plant will have y-intercept = b units

Since, the plant is growing at the same rate every week,

And growth of the plant is continuous.

Therefore, graph will be a straight line and continuous.

Since, the height of the plant is always increasing,

Slope of the line will be positive.

Option A will be the answer.

8 0

2 years ago

sovle the given equation below. y = csc(167) y = [?] Rationalize the denominator if necessary. Enter ​

sovle the given equation below. y = csc(167) y = [?] Rationalize the denominator if necessary. Enter