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2 years ago

Find surface area of rectangular prism

Mathematics

1 answer:

DIA [1.3K]2 years ago

5 0

Answer:

806 yd sq.

Step-by-step explanation:

Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.

They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.

You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.

The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.

Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.

Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.

Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.

The surface area would be 806 yd sq.

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The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff

jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

x - y ≤ 10 . . . . the difference in acreage will not exceed 10

12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

0 ≤ y . . . . . the number of corn acres is non-negative

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

P = 360x +225y

C) see below for a graph

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0

3 years ago

Can anyone help me with the answer to this please?

stiks02 [169]

Answer:

Step-by-step explanation:

To find the inverse function switch variables out and solve for y

y=(x+3)/x swap variables to get

(y+3)/y=x then solve for y

y+3=yx

y-yx+3=0

y-yx=-3

y(1-x)=-3

y=-3/(1-x)

y=3/(x-1)

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3 years ago

A bag contains 3 red marbles and 6 blue marbles. A second bag contains 6 green marbles and 4 yellow marbles. You choose a marble

Solnce55 [7]

Answer:

4/15

Step-by-step explanation:

Bag A

3 red marbles and 6 blue marbles. = 9 marbles

P(blue) = blue/total =6/9 = 2/3

Bag B

6 green marbles and 4 yellow marbles. = 10 marbles

P(yellow) = yellow/total=4/10 = 2/5

P(blue,yellow) = 2/3 * 2/5 = 4/15

3 0

3 years ago

How do you Calculate the mean,median and mode in grouped data.

Dmitrij [34]

Answer:

The mean:

data: 3,6,9,10

You first add all of the numbers together.

3+6+9+10= 28

There 4 numbers in the data set, so you divide 4 by the sum of all of the numbers.

28/4= 7

So the mean is 7.

The median:

data: 3,6,9,10

first put all of the numbers in numerical order.

3,6,9,10

Then you find the middle number in the data set.

3,6,(the middle number here),9,10

to find the middle number, do the mean of 6 and 9

The mean of 6 and 9 is 7.5

So, 7.5 is the median

another example: 3,4,7,9,13

The middle number is 7

so 7 is the median

The mode:

data: 3,6,9,10

The mode is the number that is repeated the most

in this data, there is no mode.

but in this data: 4,4,6,9,11

4 is the mode because it was repeated the most

7 0

2 years ago

What is 6÷1/5? 30, 24, 5/6, 1/30. you will get 18 things

Naya [18.7K]

6 divided by 1/5 is 30

8 0

3 years ago