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Furkat [3]
3 years ago
11

Determine the volume of the picture below.

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

Answer:

V = 6825in

Step-by-step explanation:

V = Ah

h = 30 in

A= 1/2(a+b)h = 1/2 ( 13+22)13

= 1/2(35)(13)(30)

= 35 x 13 x 15

= 6825in

slega [8]3 years ago
4 0

Answer:

\frac{1}{2}  \times (13 + 22) \times 13 \times 30 \\ 6825 \:  {inch}^{3}

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Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

5 0
2 years ago
The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths
Lubov Fominskaja [6]

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

\sqrt[3]{\frac{125}{216} } =\frac{5}{6}

5 : 6

6 0
2 years ago
Which expression is equivalent to 3√64k12?
jasenka [17]
The first one because when you simplify it equals to  3<span>√2x2x2x2x2x2xk12, so then you can take out two 2s and 4ks.

</span>
3 0
3 years ago
Read 2 more answers
(THIS IS WORTH MANY POINTS, AND I’LL GIVE BRAINLIEST)
olganol [36]

9514 1404 393

Answer:

  • perimeter ratio: 4 : 3
  • area ratio: 16 : 9

Step-by-step explanation:

The ratio of perimeters is the ratio of corresponding sides.

  first : second = 8 : 6 = 4 : 3 . . . ratio of perimeters

The ratio of areas is the square of the ratio of linear dimensions.

  first : second = 4² : 3² = 16 : 9 . . . ratio of areas

5 0
3 years ago
Read 2 more answers
Your family goes out for dinner on Sunday night. If the total bill came out to $175 but your parents had a 20% off coupon. How m
marshall27 [118]

Answer:

Step-by-step explanation:

175-20%= 35 off

175-35=140

140*8% tax= 11.20 tax

140+11.20= 151.20

151.20*18% tip= 27.216

151.20+27.22=178.42 total

7 0
2 years ago
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