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3 years ago

Calculate the width of a 80” TV if the TV has an aspect ratio of 21:9.

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

34.29 Inch.

Step-by-step explanation:

The Aspect Ratio of a screen is the ratio of the Width to the Height of the screen.

We are told that the TV screen has an aspect ratio of 21:9

Therefore:

$\dfrac{Width}{Height}=\dfrac{21}{9} \\$Since Width =80''\\\dfrac{80}{Height}=\dfrac{21}{9}\\$Cross multiply\\Height*21=80*9\\Height =(80*9) \div 21\\$Height =34.29$

The height of the TV will be approximately 34.29 Inch.

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Triangles IJK and LMN are similar. Find y using proportions. Explain and show all your steps.

Deffense [45]

Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:

IJ/ML = JK/MN = IK/LN

where:

IJ = x

JK = 54

IK = y

MN = 42

ML = 28

NL = 35

In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow

JK/MN = IK/LN replace by the values

54/42 = y/35 multiply both sides by 35

(54/42)(35) = y

45 = y

Hence, y = 45

4 0

1 year ago

A refreshment stand makes 2 large servings of frozen yogurt from 3 pints. Add the line to the graph and write the equation.

nignag [31]

Answer:

$y=(2/3)x$

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of pints

y----> the number of servings

For x=3 pints, y=2 servings

This is a proportional variation

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

The linear equation is equal to

$y=(2/3)x$

The graph in the attached figure

4 0

3 years ago

Read 2 more answers

The table shows the number of cans of soup shipped in different numbers of boxes.

natali 33 [55]

It is c = 48b.
2 x 48 = 96
4 x 48 = 192
9 x 48 = 432

3 0

3 years ago

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A hospital cafeteria has 20

Virty [35]

Answer:

Step-by-step explanation:

So if their is 65% of 20 tables with 6 chairs that's 13 tables.

And if their is 35% of 20 tables with 4 chairs that's 7 tables.

6 0

3 years ago

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2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill

timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110° by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0

3 years ago