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Pachacha [2.7K]
3 years ago
14

Ratio of sandwiches white bread to brown bread is 10:3. 2/3 white are vegetarian, half brown are vegetarian. What fraction of th

e sandwiches are vegetarian?
Mathematics
1 answer:
julsineya [31]3 years ago
3 0
<h3>Answer:</h3>

8/13

<h3>Step-by-step explanation:</h3>

Given in the question

Ratio of sandwiches white bread to brown bread is 10 : 3

white bread fraction = 10/13

brown bread fraction = 3/13

It is also provided that

2/3 white are vegetarian

1/2 brown are vegetarian

So

for white bread vegetables sandwich we will find 2/3 of 10

    20/3/13

for brown bread vegetable sandwich we will find 1/2 of 3

    3/2/13

adding both

 20/3/13 + 3/2/13

 8/13 (approximate)

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Answer:

Area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle = \mathbf{4x-8}

Step-by-step explanation:

We are given:

Length of rectangle = x

Width of rectangle = x-4

We are not given if we want to find area of rectangle or perimeter of rectangle.

So, I will be finding both

Area of rectangle

The formula used is: Area\: of\: rectangle=Length \times Width

Putting values and finding area

Area\: of\: rectangle=Length \times Width\\Area\: of\: rectangle=x \times (x-4)\\Area\: of\: rectangle=x^2-4x

So, we get area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle

The formula used is: Perimeter \: of\: rectangle=2(Length+ Width)

Putting values and finding perimeter

Perimeter \: of\: rectangle=2(Length+ Width)\\Perimeter \: of\: rectangle=2(x+ x-4)\\Perimeter \: of\: rectangle=2(2x-4)\\Perimeter \: of\: rectangle=4x-8

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I hope, it can help in solving the question.

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3 years ago
PLEASE HELP ME
olga_2 [115]

The measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

Explanation:

Given that the quadrilateral ABCD is inscribed in a circle.

The given angles are ∠A = (2x + 3), ∠C  = (2x + 1) and ∠D = (x - 10)

We need to determine the measures of the angles A, C and D

<u>The value of x:</u>

We know that, the opposite angles of a cyclic quadrilateral add up to 180°

Thus, we have,

\angle A+\angle C=180^{\circ}

Substituting the values, we have,

2x+3+2x+1=180

             4x+4=180

                   4x=176

                     x=44

Thus, the value of x is 44.

<u>Measure of ∠A:</u>

Substituting x=44 in ∠A = (2x + 3)°, we get,

\angle A=(2(44)+3)^{\circ}

     =(88+3)^{\circ}

\angle A=91^{\circ}

Thus, the measure of angle A is 91°.

<u>Measure of ∠C :</u>

Substituting x=44 in ∠C = (2x + 1)°, we get,

\angle C=(2(44)+1)^{\circ}

     =(88+1)^{\circ}

\angle C=89^{\circ}

Thus, the measure of angle C is 89°.

<u>Measure of ∠D :</u>

Substituting x=44 in ∠D = (x - 10)°, we get,

\angle D=(44-10)^{\circ}

\angle D=34^{\circ}

Thus, the measure of angle D is 34°.

Hence, the measure of the angles are ∠A = 91°, ∠C = 89° and ∠D = 34°

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