find the width of a newer 48-in TV whose screen has an aspect ratio of 16:9what is the width?

Answers

Answer 1
Answer:

The width of the TV is 41.84-in

Explanations:

The diagonal size of the TV, d= 48 in

The aspect ratio= 16 : 9

The aspect ratio is usually given in form of width : Height

Let the width = w

Let the height = h

The diagram looks like:

[tex]\begin{gathered} \frac{w}{h}=\text{ }\frac{16}{9} \\ h\text{ = }\frac{9w}{16} \end{gathered}[/tex]

Using the Pythagoras theorem:

[tex]\begin{gathered} d^2=h^2+w^2 \\ 48^2\text{ = (}\frac{9w}{16})^2+w^2 \\ 2304\text{ = }\frac{81w^2}{256}+w^2 \\ \text{Multiply through by 256} \\ 589824=81w^2+256w^2 \\ 589824\text{ = }337w^2 \\ w^2\text{ = }\frac{589824}{337} \\ w^2\text{ = 1750.22} \\ w\text{ = }\sqrt[]{1750.22} \\ w\text{ = 41.84 } \end{gathered}[/tex]

The width of the TV is 41.84-in

Find The Width Of A Newer 48-in TV Whose Screen Has An Aspect Ratio Of 16:9what Is The Width?

Related Questions

L Pretest: Unit 2Question 5 of 21Which of the following represents the factorization of the polynomial functiongraphed below? (Assume it has no constant factor.)55

Answers

[tex]B)\:y=(x-1)(x-3)[/tex]

1) The best way to tackle questions like this is to locate the x-intercepts. Since according to the options the leading coefficient is 1, we just need to locate the zeroes and plug them into the quadratic equation form, in its factored form.

2) So now, let's write out the factored form and plug the zeroes into them:

[tex]\begin{gathered} y=a(x-x_1)(x-x_2) \\ y=1(x-1)(x-3) \\ y=(x-1)(x-3) \end{gathered}[/tex]

See if anybody can answer this. A concession stand sells lemonade for $2 each and sports drinks for $3 each. The concession stand sells 54 cups of lemonade and sport drinks. The total money collected for these items is $204. How much money was collected on sports drinks?​

Answers

Let x = cups of lemonade
Let y = cups of sports drink

x + y = 54
2x + 3y = 204



$96 dollars were collected from selling sports drinks.

3. Trapezoid JKLM with vertices J(-4, 3), K(-2, 7),L(2,7), and M(3, 3) in the line y = 1.what would the reflection coordinates be

Answers

First, we graph the trapezoid and the line

If we reflect the figure across the line y = 1, then we get the following figure

As you can observe in the graph, the vertices would be J'(-4,-1), K'(-2,-5), L'(2,-5), and M'(3,-1).

Faith borrowed $2250 for home repairs. She paid back 24 payments of$132 each. How much did she pay in interest on the loan?a. $87.71b. $2,520c. $918d. $4.38

Answers

• We are given that Faith paid $132 for 24 months.

So; 132 * 24 = $3168

• Since we know that Faith initially borrowed $2250

Interest paid = $3168 - $2250

= $918

• Option C is the correct choice.

Help on math question precalculus ChoicesVertical shift Period DomainRange Phase shift Amplitude

Answers

All the x-values that satisfy the function - Domain

Translating the sine or cosine curve up or down - Vertical shift

How long a given function takes to repeat itself - Period.

A horizontal shift of a sine or cosine function- Phase shift

All the y-values that satisfy the function- Range

Distance from the horizontal axis or midline to the maximum and minimum points - Amplitude

you own a pet store that sells fish tank you brought a fish tank for $35 and are going to mark it up 20% what is the selling price going to be on the fish tank

Answers

If you're marking the fish tank up by 20%, it means you're looking to sell it at 120% of its original value.

Now, let's use a rule of three to calculate such percentage:

Thereby,

[tex]x=\frac{120\cdot35}{100}\rightarrow x=42[/tex]

The selling price would be $42

URGENT!! ILL GIVE
BRAINLIEST!!!!! AND 100 POINTS!!!

Answers

70 -> between 8 and 9
5 -> between 2 and 3
81 -> exactly 9
-2/4 -> exactly -4
4/8 -> between 11 and 12

8. A boy owns 6 pairs of pants, 8 shirts, 2 ties, and 3 jackets. How many outfits can he wear to school if he must wear one of each item?

Answers

It is given that the boy owns 6 pairs of pants, 8 shirts, 2 ties, and 3 jackets.

It is also given that he must wear one of each item.

Recall the Fundamental Counting Principle:

The same is valid for any number of events following after each other.

Hence, the number of different outfits he can wear by the counting principle is:

[tex]6\times8\times2\times3[/tex]

Evaluate the product:

[tex]6\times8\times2\times3=288[/tex]

The number of different outfits he can wear is 288.

I got the last question right that was similar so I’m unsure what I’m doing wrong for this one

Answers

[tex]6x+y=34[/tex]

Solve x:

[tex][/tex]

The highly temperature one day was -3 the low temperature was -7 what was the difference

Answers

7-3= 4 degree difference

For which pair of triangles would you use ASA to prove the congruence of the two triangles?

Answers

Solution:

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. According to this, the correct answer is:

C.

80% of _ = 20?4-4-4-

Answers

Let

x -----> the missing number

we know that

80%=80/100=0.80

so

0.80x=20

solve the linear equation for x

Divide by 0.80 both sides

x=20/0.80

x=25

the answer is 25

From the given proportional relationship, which of the following points lie on the same line?

Answers

As per given by the question,

There are given that a graph of line.

Now,

h

The diameter of circle is 20 inches. find the circumference in terms of pi

Answers

The below formula is used to find the circumference of a circle;

[tex]C=2\pi r[/tex]

But we know that the diameter of a circle is expressed as;

[tex]d=2r[/tex]

Let's replace 2r with d in the 1st equation, we'll then have;

[tex]C=\pi d[/tex]

We've been told that the diameter of the circle is 20inches, if we substitute this value into our equation, we'll have;

[tex]C=20\pi[/tex]

Write a relation consisting of five ordered pairs that satisfies the following conditions. The relation is a function. Switching the x- and y-coordinates of each ordered pair results in a relation that is not a function.

Answers

Answer:

Step-by-step explanation:

If each value of x only has one corresponding value of y, it is a function. You can test this just by eye or by graphing and doing the vertical line test by rolling a pencil or other straight object across to make sure only one point is on the line at a time

12.Work backwards to write a quadratic equation that will have solutions of x = -1/2 and x = 4. (Your equation must only have integer coefficients, meaning no fractions or decimals.)

Answers

In general, a quadratic equation can be written in terms of its solutions:

[tex]y=(x-a)(x-b).[/tex]

Now, notice that:

[tex]x+\frac{1}{2}=0\text{ }[/tex]

when x= -1/2, and it is equivalent to:

[tex]2x+1=0.[/tex]

Therefore, you can write the quadratic equation as:

[tex]y=(2x+1)(x-4).[/tex]

Computing the above multiplication, you get:

[tex]y=2x^2-8x+x-4.[/tex]

Simplifying the above equation you get:

[tex]y=2x^2-7x-4.[/tex]Answer: [tex]y=2x^{2}-7x-4[/tex]

If a girl has 7 skirts, 9 shirts, and 5 pairs of shoes, how many outfits canshe wear?

Answers

Okay, here we have a Combination Problem, we need just multiply to get the answer, of this mode:

[tex]C=7\cdot9\cdot5=315[/tex]

She can wear 315 outfits.

Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40
minutes on reading and math homework. How much longer did Sara spend on her homework than Mia?

Answers

Sara spent 15 minutes longer than (the difference is 15 min) Mia in her homework.

According to the question,

We have the following information:

Sara spent 35 minutes on math homework and 20 minutes on reading homework. Mia spent a total of 40 minutes on reading and math homework.

So, it means that the total time spent by Sara in her homework is:

35+20 minutes

55 minutes

So, the differences between their time spent in her homework (will give us the more time taken by Sara) is:

Time spent by Sara in her homework-time spent by Mia in her homework

(55-40) minutes

15 minutes

Hence, Sara spent 15 more minutes than Mia.

To know more about difference here

https://brainly.com/question/13082243

#SPJ1

What is the value of x? Enter your answer in the box. x =

Answers

Step-by-step explanation:

it is an equilateral triangle : all 3 sides are if equal length (indicated by the same symbol on each side).

automatically with that comes the conclusion that all 3 angles have the same size.

and since the sum of all angles in a triangle is always 180°, this means every angle is 180/3 = 60°.

therefore,

2x - 4 = 60

2x = 64

x = 32

and FYI

5y = 60

y = 12

The answer is 57.3 provided by my teacher, I need help with the work

Answers

Apply the angles sum property in the triangle ABC,

[tex]62+90+\angle ACB=180\Rightarrow\angle ACB=180-152=28^{}[/tex]

Similarly, apply the angles sum property in triangle BCD,

[tex]20+90+\angle BCD=180\Rightarrow\angle BCD=180-110=70[/tex]

From triangle ABC,

[tex]BC=AC\sin 62=30\sin 62\approx26.5[/tex]

From triangle BDC,

[tex]BD=BC\cos 20=26.5\cos 20\approx24.9[/tex]

Now, consider that,

[tex]\angle BDE+\angle BDC=180\Rightarrow\angle BDE+90=180\Rightarrow\angle BDE=90[/tex]

So the triangle BDE is also a right triangle, and the trigonometric ratios are applicable.

Solve for 'x' as,

[tex]x=\tan ^{-1}(\frac{BD}{DE})=\tan ^{-1}(\frac{24.9}{16})=57.2764\approx57.3[/tex]

Thus, the value of the angle 'x' is 57.3 degrees approximately.ang

Conner plans to plow a field in one day. Before lunch he plows 15 acres, which is 30% of the field. Howmany acres will he have to plow after lunch in order to finish the field?

Answers

Solution:

Let the total field to plow be 100 %

According to the question,

The field plowed before lunch is shown below:

15 acres field = 30%

30 % field = 15 acres

1 % field = 15/30 acres

The field plow after lunch is 70%.

[tex]\begin{gathered} 70\text{ \% of field = }\frac{15}{30}\times70 \\ =35\text{ acres} \end{gathered}[/tex]

Final Answer:

Therefore, the field to plow after lunch in order to finish the field is 35 acres.

What is 175% of 48? Show work.

Answers

Let 175% of 48 be y.

This implies that

[tex]\frac{175}{100}\times48=y[/tex]

To evaluate y,

[tex]\begin{gathered} \frac{175}{100}\times48=y \\ \Rightarrow\frac{175\times48}{100}=y \\ \frac{8400}{100}=y \\ \Rightarrow y=84 \end{gathered}[/tex]

Hence, 175% of 48 is 84.

find the slope of #1 y = 2x - 3#2 (-2,-4) (-1,-2)#3 y = 1/3x - 4# 4 (4,0) (4,1)

Answers

1. slope= 2

2. slope=2

3. slope= 1/3

4. slope indefinite, vertical line

Explanation

Step 1

[tex]\begin{gathered} y=\text{ 2x-3} \\ \end{gathered}[/tex]

the equation is given in slope(m) - intercept(b)

[tex]\begin{gathered} y=\text{ mx+b} \\ \text{then} \\ mx+b=2x-3 \\ m=2 \\ \text{slope}=2 \end{gathered}[/tex]

Step 2

when you have two points of a line, P1 and P2 the slope is given by:

[tex]\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1)andP2(x_2,y_2) \end{gathered}[/tex]

Let

P1(-2,-4) P2(-1,-2)

replace

[tex]\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{-2-(-4)}{-1-(-2)} \\ \text{slope}=\frac{-2+4}{-1+2}=\frac{2}{1}=2 \\ \text{slope}=2 \end{gathered}[/tex]

Step 3

[tex]y=\frac{1}{3}x-4[/tex]

similar to the #1. ,the equation is given in slope(m) - intercept(b)

[tex]\text{the slope = }\frac{1}{3}[/tex]

Step 4

let

[tex]P1(4,0)\text{ and P2(4,1)}[/tex][tex]\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{1-0}{4-4}=\frac{1}{0}=\text{indefined} \\ it\text{ means the line is vertical} \end{gathered}[/tex]

Is x = -2 the linear equation that matches this table of ordered pairs?Explain why or why not.Xy-2 7-2 1-2 -5(x, y)(-2,7)(-2, 1)(-2,-5)

Answers

Answer:

All the points given (-2,7) (-2,1) (-2,-5) have the x-coordinate of -2, then those points lie in the x=-2, so it matches the table.

what is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x + 8) ?A) shifted up B) shifted left C) shifted right D) shifted down

Answers

Solution

- In order to solve the question, we need to understand the rules guiding the translation of graphs. This rule is given below:

[tex]\begin{gathered} f(x)\to f(x+h) \\ \text{ If h is positive, then, the graph is shifted to the left} \\ \text{ If h is negative, then, the graph is shifted to the right} \end{gathered}[/tex]

- The question given to us has h = 8. This means that h is positive, therefore, the graph of f(x) must be shifted to the left by 8 units

Final Answer

The answer is "Shifted Left" (OPTION B)

If f (x)- VX-3, complete the following statement:x + 219) =

Answers

Given that;

[tex]f(x)=\frac{3}{x+2}-\sqrt{x-3}[/tex]

To get f(19), let's substitute 19 for x in the function f(x);

[tex]\begin{gathered} f(x)=\frac{3}{x+2}-\sqrt{x-3} \\ f(19)=\frac{3}{19+2}-\sqrt{19-3} \\ f(19)=\frac{3}{21}-\sqrt{16} \\ f(19)=\frac{1}{7}-4 \\ f(19)=-3\frac{6}{7} \end{gathered}[/tex]

Therefore, the value of f(19) is;

[tex]f(19)=-3\frac{6}{7}[/tex]

Solve 2/3 (6w+12) this equation

Answers

Answer:

4w+8

Step-by-step explanation:

diameter = 10.5in.we are learning something about area of circle.

Answers

Use the formula for the area of a circle:

[tex]A=\pi\cdot r^2[/tex]

First, we need to find the radius r. Since the radius is half the diameter, then:

[tex]\begin{gathered} r=\frac{10.5\text{ in}}{2} \\ \therefore r=5.25in \end{gathered}[/tex]

Substitute the value for r in the formula for the area of the circle:

[tex]\begin{gathered} A=\pi\cdot(5.25in)^2 \\ \approx86.6in^2 \end{gathered}[/tex]

Therefore, the area of a circle of diameter 10.5 in is approximately 86.6 squared inches.

draw a right triangle with a leg that as a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to nearest tenth.

Answers

Question:

Draw a right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees. find the length of the hypotenuse. round your answer to the nearest tenth.​

Solution:

A right triangle with a leg that has a length of 10 and the angle opposite to that side is 55 degrees is given by the following picture:

In this case, the appropriate trigonometric identity is:

[tex]\sin (55^{\circ})\text{ = }\frac{y}{h}[/tex]

where y is the opposite side, and h is the hypotenuse. Now, replacing the given data in the previous equation we obtain:

[tex]\sin (55^{\circ})\text{ = }\frac{10}{h}[/tex]

and solving for h, we get:

[tex]h\text{ = }\frac{10}{\sin (55^{\circ})}\text{ = 12.207}\approx12.21[/tex]

then, the correct answer is:

[tex]h\text{ =}12.21[/tex]

x + y = 5 y - 2x = -4

Answers

Answer:

x = 3, y = 2

Explanations:

The equations are:

x + y = 5......................(1)

y - 2x = -4...................(2)

Make x the subject of the the formula

x = 5 - y...............(3)

Substitute equation (3) into equation (2)

y - 2(5 - y) = -4

y - 10 + 2y = -4

3y = -4 + 10

3y = 6

y = 6 / 3

y = 2

Substitute the value of y into equation (3)

x = 5 - 2

x = 3

Other Questions
As a torque activity, your Physics TA sets up the arrangement decribed below. A uniform rod of mass mr = 158 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r1 = 10.0 cm and r2 = 90.0 cm mark, passed over pulleys, and masses of m1 = 281 g and m2 = 177 g are attached. Your TA asks you to determine the following: (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. 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