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Pavel [41]
3 years ago
10

The vertices of the feasible region are (choose all that apply)

Mathematics
1 answer:
Anarel [89]3 years ago
5 0

9514 1404 393

Answer:

  (0,0)

  (0,3)

  (3,2)

  (4,0)

Step-by-step explanation:

The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:

  (0,0)

  (0,3)

  (3,2)

  (4,0)

_____

<em>Additional comment</em>

The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.

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Use trigonometric ratios to find the indicated side
iragen [17]

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

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4 0
2 years ago
Able, Ben and Cal each played a game able’s score was six times ben’s score, Cale score was a hird time of Able’s score write do
Feliz [49]

Answer:

6:1:2

Step-by-step explanation:

Let a = Able's score, b = Ben's score, and c = Cal's score.

Since

Able's score was 6 times Ben's score, that means a = 6b.

Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.

Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.

3 0
3 years ago
In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point Bare (10,6).
olasank [31]

Answer: D = 4, 4.5

E = 5, 4.75

H = 8, 5.5

I = 9, 5.75

Step-by-step explanation:Gang

4 0
3 years ago
Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice th
Blababa [14]

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

3 0
2 years ago
For Valentine's Day, Kelsey got a box of 24 chocolates. After one week, she'd eaten 5/8 of them. How many chocolates had Kelsey
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Answer:

She had eaten 15 chocolates.

Step-by-step explanation:

\frac{5}{8} * 24 = \frac{120}{8} = 15

5 0
3 years ago
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