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3 years ago

(a)

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

x=−41−−239 =−41+4i239 =−0.2500−3.8649i x=−41+−239 =−41−4i239 =−0.2500+3.8649i

Step-by-step explanation:

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If there are 1/18 cups of brown sugar per serving, how much brown sugar will you need for 9 servings ?

antoniya [11.8K]

Answer:

1/2 cups of brown sugar.

Step-by-step explanation:

1/18 per serving

9 servings

multiply 1/18 by 9.

Your answer is 9/18, which can be reduced to 1/2. Hope this helps

8 0

3 years ago

Read 2 more answers

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8

Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y = $\frac{80}{5}$

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = $\frac{146}{32}$ = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0

3 years ago

Read 2 more answers

Write 4 2/5 as an improper faction

ser-zykov [4K]

Answer:

22/5

Step-by-step explanation:

4 $\frac{2}{5}$

new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22

=> 22/5

7 0

3 years ago

Expand and simplify 2(x+7) + 3(x+1)

mash [69]

Let's simplify step-by-step.

2(x+7)+3(x+1)

Distribute:

=(2)(x)+(2)(7)+(3)(x)+(3)(1)

=2x+14+3x+3

Combine Like Terms:

=2x+14+3x+3

=(2x+3x)+(14+3)

=5x+17

your answer is 5x+17

8 0

3 years ago

What would you have to show in order to prove that a quadrilateral is a rectangle?

nekit [7.7K]

Answer:

A. Consecutive sides have opposite reciprocal slopes

Step-by-step explanation:

A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.

A. Consecutive sides have opposite reciprocal slopes

Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.

B. All sides are congruent

A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.

C. Opposite sides are parallel

A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.

D. Consecutive sides are congruent, opposite sides are not.

This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.

_____

Additional comment

If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.

5 0

2 years ago