Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.

Answers

Answer 1
If the sides were 2 and 3 then using Pythagoras the diagonal would be sr(2^2 + 3^2) = sr(13)

The actual diagonal is 8 inches so the sides need to be scaled by 8/sr(13)

The screen area will be 2 x 8/sr(13) x 3 x 8/sr(13) = 29.539....
Rounded to nearest sq.inch this is 30 sq.inch

Related Questions

18/73 and 4/16. Proportional or Not Proportional

Answers

Answer:

not proportional

Step-by-step explanation:

We can check using cross products

18/73  = 4/16

18*16 = 73*4

288=292

Since this is not equal, this is not proportional

2x + 5y = -10
rewrite the equation in slope intercept form then identify the slope and the y intercept of the line

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 5y = - 10 ( subtract 2x from both sides )

5y = - 2x - 10 ( divide the terms by 5 )

y = - [tex]\frac{2}{5}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{2}{5}[/tex] and y- intercept c = - 2

Can you please show all your work plus the equation.

Answers

Answer:

25°

Step-by-step explanation:

20°--5°=

20°+5°=

25°

Answer: fell 25 degrees

Step-by-step explanation: 20-25= -5

//Give thanks(and or Brainliest) if helpful (≧▽≦)//

If(2x,x+y)=(y,9)find x and y.

Answers

Answer:

the value of X is 3 and y is 6 .

Mr. Mathman had a square frame with an area of 175.6 ft². Which measurement is the closest to the side length of Mr. Mathman’s frame?
A) 88 feet

B) 15 feet

C) 44 feet

D) 13 feet

Answers

Answer:

Fifteen feet is the closest to the side length of the frame, have a good day

If you graph a function and it looks like a circle, it will pass the vertical line test.

True or False

Answers

Answer: false

Step-by-step explanation:

Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.

Problem 2: Vector v has initial point (4, 3) and terminal point (-7, 9). Write v as a linear combination of the standard unit vectors i and j.

Answers

We have

v = (-7, 9) - (4, 3) = (-7 - 4, 9 - 3) = (-11, 6)

which as a linear combination of the i and j unit vectors is

v = -11i + 6j

Answer:

Step-by-step explanation:

Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points P = (-4,4) and Q = (-3,2). What is the equation of the line?
y =

Answers

Answer:

[tex]y = - 2x - 4[/tex]

Step-by-step explanation:

Slope intercept eqn:

[tex]y - y1 = m(x - x1)[/tex]

P = (-4,4) and Q = (-3,2)

Let (x1, y1) = (-4,4) and (x2, y2) = (-3,2).

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ 2 - 4}{ - 3 - ( - 4)} = \frac{ - 2}{1} = - 2[/tex]

Therefore the equation of the line in slope-intercept form :

[tex]y - 4 = - 2(x - ( - 4)) \\ y - 4 = - 2(x + 4) \\ y - 4 = - 2x - 8 \\ y = - 2x - 8 + 4 \\ y = - 2x - 4[/tex]

To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop-down menus to correctly complete the thought. "How many times does 81 divides into Choose... ?"
5
54
547
5472

Answers

Answer:

"How many times does 81 divide into 547?"

n order to better manage his money, Joe kept track of his monthly grocery bills for the past six months to see how much he had spent. These amounts appear in the table.




Round each number in the table to the nearest hundred and estimate the total amount of money Joe should budget for groceries for the next 6 months.

Answers

Answer:

1,100

Step-by-step explanation:

200 + 200 + 200 + 200 + 100 + 200

Total amount after rounding off will be : 900

What is Rounding of numbers to nearest hundred ?

Rounding off a number to the nearest hundred means that you have to look or find the hundred which is closest to the given number and then write that as   the rounded-off number .

Rounding off each number in the table to the nearest hundred :

1) 223  ( since , we have 223 and 223 < 250 . Since, 223 is closest to 200 as compared to 300 , after rounding it off we will get 200 instead of choosing 300) = 200

2) 189 =200

3) 210 = 200

4) 164 = 200

5) 148 = 100

6) 206 = 200

Total amount after rounding of numbers will be = 200 + 200 + 200 + 100 + 200

                                                                = 900

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you buy 4 video tapes for 14.99 each and 3 dvds for 19.99 each find the total cost of the movies

Answers

Answer:

119.93

Step-by-step explanation:

I will assume the total of the cost of the movies will be the total.

the total  = 4*14.99 + 3*19.99

total = 119.93

what is line PR called​

Answers

Answer:

A radius is a line segment with one endpoint at the center of the circle and the ... is called the midpoint, and arc PQ ≅ arc PR if and only if PQ ≅ PR.

Step-by-step explanation:

brainliest please

Answer:

A radius is a line segment with

The angle,2Θ, lies in the third quadrant such that cos2Θ=-2/5. Determine an exact value for tanΘ . Show your work including any diagrams if you plan to use them. (3 marks)

Answers

Answer:

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

Step-by-step explanation:

1. Approach

One is given the following information:

[tex]cos(2\theta)=-\frac{2}{5}[/tex]

One can rewrite this as:

[tex]cos(2\theta)=-0.4[/tex]

Also note, the problem says that the angle ([tex]2\theta[/tex]) is found in the third quadrant.

Using the trigonometric identities ([tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]) and ([tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]) one can solve for the values of ([tex]cos(\theta)[/tex]) and ([tex]sin(\theta)[/tex]). After doing so one can use another trigonometric identity ([tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]).  Substitute the given information into the ratio and simplify.

2. Solve for [tex](cos(\theta))[/tex]

Use the following identity to solve for ([tex]cos(\theta)[/tex]) when given the value ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

Substitute the given information in and solve for ([tex]cos(\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

[tex]-0.4=2(cos^2(\theta))-1[/tex]

Inverse operations,

[tex]-0.4=2(cos^2(\theta))-1[/tex]

[tex]0.6=2(cos^2(\theta))[/tex]

[tex]0.3=cos^2(\theta)[/tex]

[tex]\sqrt{0.3}=cos(\theta)[/tex]

Since this angle is found in the third quadrant its value is actually:

[tex]cos(\theta)=-\sqrt{0.3}[/tex]

3. Solve for [tex](sin(\theta))[/tex]

Use the other identity to solve for the value of ([tex]sin(\theta)[/tex]) when given the value of ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

Substitute the given information in and solve for ([tex]sin(\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

[tex]-0.4=1-2(sin^2(\theta))[/tex]

Inverse operations,

[tex]-0.4=1-2(sin^2(\theta))[/tex]

[tex]-1.4=-2(sin^2(\theta))[/tex]

[tex]0.7=sin^2(\theta)[/tex]

[tex]\sqrt{0.7}=sin(\theta)[/tex]

Since this angle is found in the third quadrant, its value is actually:

[tex]sin(\theta)=-\sqrt{0.7}[/tex]

4. Solve for [tex](tan(\theta))[/tex]

One can use the following identity to solve for [tex](tan(\theta))[/tex];

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute the values on just solved for and simplify,

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

[tex]tan(\theta)=\frac{-\sqrt{0.7}}{-\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{0.7}}{\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

Rationalize the denominator,

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}*\frac{\sqrt{\frac{3}{`0}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}*\frac{3}{10}}}{\sqrt{\frac{3}{10}*\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{21}{100}}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\frac{\sqrt{21}}{10}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{10}*\frac{10}{3}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

Identify the function family and describe the domain and range for g(x) = |x + 2|– 1.

Answers

The answer of g(x) =|x+2|-1 is X1 =-3, X2=-1

The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Given the function  g(x) = |x + 2|– 1

The minimum value of the function

At x = -2 ⇒ |-2+ 2|– 1 = -1

The maximum value of the function

At x = ∞ ⇒ |∞+ 2|– 1 = ∞

So,

The range will be (-1, ∞)

Now,

We can put x as -∞ and ∞ so the domain will be (-∞,∞).

Hence "The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".

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What is the
range of the function graphed below? I am in desperate need of answer

Answers

Answer:

B

Step-by-step explanation:

look at where the line reaches on the y-axis

Eileen is baking a cake in a square prism shape. The volume of the cake is 224 cubic inches, and the cake has a
height of 3.5 inches. What are the side lengths of the cake?

Answers

Answer: 8 inches

Step-by-step explanation:

224/3.5 = 64

8*8=64

8in * 8in * 3.5In = 224 cubic inches

Can someone please help m with this

Answers

Answer:

Step-by-step explanation:

I take it that what you are asking is which one of the three choices gives f(5) = 2.

It is not the table. When you try adding 5 in the x column, you get a much larger result than 2 for y.

And it is not the scattered points of the graph. x = 5 gives 5 on the y axis, not 2.

It is the first choice on the left.

f(5) = x - 3

f(5) = 5 - 3

f(5) = 2

Graph the line that passes through the points (6,8) and (2,-2) and determine the equation of the line.​

Answers

Place the dots on the cordinates then connect them and count the spaces between them‍♀️

Which is an
appropriate estimate
for this addition
problem?
462
543
844
+ 921

Answers

(Answer 2,770) (estimation: 3,000)

Two numbers are in the ratio 1:2. If 7 is to be added to both, then ratio changes to 3:5, find the numbers

Answers

Let numbers be x and 2x

ATQ

[tex]\\ \rm\longmapsto \dfrac{x+7}{2x+7}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\longmapsto 5(x+7)=3(2x+7)[/tex]

[tex]\\ \rm\longmapsto 5x+35=6x+21[/tex]

[tex]\\ \rm\longmapsto 6x-5x=35-21[/tex]

[tex]\\ \rm\longmapsto x=14[/tex]

2x=2(14)=28years

PLEASE HELP DHEGDFEEHDB HELPP PLEASE​

Answers

Answer:

B

Step-by-step explanation:

22/7 X 14 squared

--------------------------------  =308

           2

406-308= 98cm ^2

Perform the operation.
(3x2 – 7x) – (4x2 + 6x)

Answers

I think it’s -2-13x if I’m not mistaken

Answer:

(3x2-7x)-(4x2+6x)= −x^2−13x

Step-by-step explanation:

(3x2-7x)-(4x2+6x)

Distribute the Negative Sign:

=3x^2−7x+−1(4x^2+6x)

=3x^2+−7x+−1(4x^2)+−1(6x)

=3x^2+−7x+−4x^2+−6x

Combine Like Terms:

=3x^2+−7x+−4x^2+−6x

=(3x^2+−4x^2)+(−7x+−6x)

=−x^2+−13x

Not sure if this is what you wanted. Sorry if this is what you weren't looking for.

Can Someone help me!

Answers

Answer:50 degree

Step-by-step explanation:

It is an isosceles triangle so two sides and angles are equal. The first line is facing the first angle so the second angle ( m<DEF) = 65 degrees because both angles are equal.

This implies that m<FED =

65 + 65+ <FED= 180( sum of angle in a triangle)

130 + <FED=180

<FED= 180- 130

<FED= 50 degree

Perform the indicated operations. Write the answer in standard form, a+bi.
-4+4i / -3-6i

Answers

Answer:

[tex] \frac{ - 4 + 4i}{ - 3 - 6i} \\ multiply \: and \: divide \: by \: - 3 + 6i \\ \frac{ - 4 + 4i}{ - 3 - 6i} \times \frac{ - 3 + 6i}{ - 3 + 6i} \\ = \frac{ ( - 4 + 4i)( - 3 + 6i)}{ ( - 3 - 6i)( - 3 + 6i)} \\ = \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} - {(6i)}^{2} } \\ = \frac{12 - 24 - 36i}{9 + 36} \\ = \frac{ - 12 - 36i}{45} \\ \frac{ - 36i}{45} + \frac{ - 12}{45} \\ thank \: you[/tex]

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

The length of a sandbox is three feet longer than its width. What expression would represent the area of the sandbox

Answers

Expression represent the area of the sandbox is a² + 3a

GIven that;

Length of sandbox is three feet longer than its width

Find:

Expression represent the area of the sandbox

Computation:

Assume;

Width of sandbox = a feet

So,

Length of sandbox = (a + 3) feet

[tex]Area\ of\ rectangle = Length \times Width[/tex]

So,

Area of the sandbox = Length of sandbox × Width of sandbox

Area of the sandbox = (a + 3) × a

Area of the sandbox = a² + 3a

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Which of the following are rational numbers?​

Answers

Step-by-step explanation:

square cube 214

I think this was your answer

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

a point

Step-by-step explanation:

because it really seems like a point I dunno

Evaluate each expression if a= 12, b =9, c= -4 (a2/4b)+c

Answers

Here it issssss #studywell

So like for integers when it’s only 28 - 19 do you change the negative to a positive like 28 - 19?

Answers

Answer:

Sorry I don't really understand your question, but 28-19 is 9 therefore 9 is more than 0

9 >0

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