A=1/2h(B+b);a=135,B=6,b=9

Mathematics

1 answer:

Tomtit [17]3 years ago

7 0

Answer:

Step-by-step explanation:

135=1/2h(6+9)

135=1/2h(15)

135=7.5h

h=18

1/2*18 is 9

15*9 is 135

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What is the distance between 4-i and -2+3i?

stepan [7]

If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.

When you look at it that way, your two points are simply two points on the x-y plane:

   4 - i    ===> (4, -1)

   -2 + 3i ===> (-2, 3) .

The distance between them is

   D = √ (difference in 'x')² + (difference in 'y')²

   = √ (6)² + (4)²

   = √ (36 + 16)

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4 0

3 years ago

Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45

MissTica

Answer:

(c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

315 oz -225 oz = 90 oz

This is enough for (90 oz)/(9 oz/dz) = 10 dozen Mint Breezes. This is in the required range of 2 to 15 dozen.

Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)