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A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

4.69 feet

Step-by-step explanation:

If the table is a square, all the sides are equal and the area is the length of one side squared.  A=l^2

The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.

Answer:

about 2.666 times

Step-by-step explanation:

you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.

The population be than after 30 days about 2.666 times greater.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A population of insects can double in 30 days.

After 80 days, We need to find that how many times greater will the population be than after 30 days

We know that 80 days have past and it only takes 30 days for the population to double.

if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.

Therefore, The population be than after 30 days about 2.666 times greater.

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

a) 6 cups

Step-by-step explanation:

Use a ratio equation to solve:

3/2 = 9/x

Cross multiply to get:

3x = 18

Solve for x:

x = 6

Answer: a) 6 cups

Step-by-step explanation: The 3 cups to get to 9, is really double the amount, so if you double 3 then you double 2 and get 6. 3*2=6

Answer:

The answer is B- 531^2

Step-by-step explanation:

l m f a o

your

pfp

The solution is, the area of the following figure is 360 in^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

For this case we have that by definition, the area of a rectangle is given by:

A = l*w

In this case, the rectangle is 18 in side, & 21 in.

then:

A = 18*21

   = 378

On the other hand, the area of a triangle is given by:

A = 1/2 b * h

Where:

b: It is the base of the triangle

h: It is the height

We have according to the figure that:

b = 21 - 17 = 4

h = 18 - 9 = 9

So:

A = 1/2 *4 *9

   =18

Finally, the area of the figure is:

378 - 18

=360

Answer: The solution is, the area of the following figure is 360 in^2.

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The distance of AB is 117.992 meters.

Law of sines is a law in trigonometry which states that the ratios of the angle to the opposite side of a triangle are equal.

For triangle ABC,

sin A / a = sin B / b = sin C / c

where a, b and c are the sides opposite to the angles A, B and C respectively.

Here,

∠B = 112° 10' = 112° + 0.167° = 112.167°

∠C = 15° 20' = 15° + 0.333° = 15.333°

By the angle sum property of triangle,

∠A = 180° - (∠B + ∠C)

∠A = 180° - (112.167° + 15.333°)

     = 52.5°

Using law of sines,

sin A / BC = sin C / AB

sin (52.5°) / 354 = sin (15.333°) / AB

AB = [354 × sin (15.333°)] / [sin (52.5°)]

AB =  [354 × 0.264] / [0.793]

AB = 117.992 meters

Hence the distance across the river is 117.992 meters.

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Answer:

Side-Angle-Side (ASA) Congruence Postulate

or

Side-Side-Side (SAS) Congruence Postulate

Step-by-step explanation:

Side MU is congruent to side SE and MS is congruent to side UE (Also stated in 2.). And Angle MSE is congruent to angle MUE and Angle SMU is congruent to angle SEU. (As said in 3.)

Take a look at the image. You could use the SAS postulate or the SSS congruence postulate, both of them are correct and will lead you to the correct answer.

Lmk if you need help on the rest

Please remmeber to mark brainliest!

The slope of another line is changed to 20 degree to keep the segments parallel.

According to the statement

We have given that the If ac is parallel to bd and m <5 is decreased by 20 degrees And we have to find that the how must m <2 be changed to keep the lines parallel.

So, For this purpose,

We know that the Slope or gradient of a line is a number that describes both the direction and the steepness of the line.

And here

The slopes of two lines will only same when these lines are parallel.

In other words, Only parallel lines have a same slope.

So, if slope of one line is decreased by 20 degree then we have to kept these line parallel. Then we have to decrease the slope of other line by 30 degree also.

So, The slope of another line is changed to 20 degree to keep the segments parallel.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

If ac is parallel to bd and m <5 is decreased by 20 degrees how must m <2 be changed to keep the lines parallel?

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The exact lengths of the missing sides x and y are 17.3 and 8.65 respectively. The solution has been obtained by using trigonometry.

What is trigonometry?

The primary objective of the branch of mathematics known as "trigonometry" is the study of the sides, angles, and connections of the right-angle triangle.

We are given a right angled triangle with an angle 60° and opposite side as 15cm.

We know that sin theta = opposite side/hypotenuse

So,

⇒Sin 60° = 15/x

⇒√3/2 = 15/x

⇒x = 15/(√3/2)

⇒x = 30/√3

⇒x = 10√3

⇒x = 10*1.73

⇒x = 17.3

We know that cos theta = adjacent side/hypotenuse

So,

⇒Cos 60° = y/x

⇒1/2 = y/17.3

⇒y = 8.65

Hence, the exact lengths of the missing sides x and y are 17.3 and 8.65 respectively.

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Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Answer:

y = 18

hope this helps :)

Step-by-step explanation:

2y - 11 = 25

+ 11        +11

2y/2 = 36/2

y= 18

Answer:

6x + 3y = 3

I hope that this helps

Answer:

5x-16y=12

Step-by-step explanation:

Ax+By=C

FIND the LCD (6)

MULITPLY BOTH SIDES BY 6

6(8/3Y)=6(5/6X-2)

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

If he will use a fraction of 1/5 of the fabric to make the pillow, then he will need to use 3 yards.

We know that George has a total of 15 yards of fabric, and we know that he needs to use 1/5 of the fabric to make a pilllow.

To find the amount of fabric that he needs to use for the pillow we just need to multiply the total amount of fabric by the given fraction, then what we will get is:

Amount of fabric used = (1/5)*15 yards.

Amount of fabric used = (15/5) yards

Amount of fabric used = 3 yards

He ses 3 yards for the pillow.

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Complete questions:

"George has 15 yards of fabric. He plans to use 1/5 of the fabric to make a pillow.

How many yards of fabric will George use for the pillow?"

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  \((a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}\)

In this case, we have ...

  \((\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}\)

Answer:

y = mx - 4

Step-by-step explanation:

m is the slope, while -4 is the y intercept

Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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The measure of angle of arc UB is 46°

An arc is a part of the circumference.

If two arcs in circles with equal radii have the same length, then their central angles (and measures) will be equal.

To find the measure of angle of arc UB, we use the theorem that says;

angle I = 1/2( angle ZC - angle UB)

angle I = 48°

angle ZC = 142°

Therefore ;

represent angle UB by x

48 = 1/2( 142-x)

142 - x = 96

x = 142 -96

x = 46°

Therefore the measure of angle of arc UB is 46°

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Answer:

the answer is c. 1

Step-by-step explanation:

f(x)= -4x -5

f(-1)= -4(-1) -5

f(-1) =4 -5

f(-1)= -1

f(-1/-1) =-1/-1

f= 1

Answer:

  (-∞, ∞)

Step-by-step explanation:

The domain of a function is the set of values of the independent variable for which the function is defined. On a graph, it is the horizontal extent of the graph.

The domain of any polynomial function is "all real numbers." There are no values of x for which f(x) is undefined.

In interval notation, the domain is ...

  (-∞, ∞)

Answer:

U = (4,4)

V = (1,1)

W = (3,-3)

Step-by-step explanation:

step 1: note down their current positions

U = (-4, 4)

V = (-1,1)

W = (-3, -3)

step 2: flip the sign of the x coordinates since you are flipping them over the y axis.

U = (-4, 4) --> (4,4)

V = (-1,1) --> (1,1)

W = (-3, -3) --> (3,-3)

step 3: that's it lol you have your answers

U = (4,4)

V = (1,1)

W = (3,-3)

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

The number of hours that James have to work each week will be 25 hours.

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge.

In this case, James has a job moving lawns during the summer. Suppose the formula for calculating the number of hours he will have to work each week is five times the difference of thirty-eight and three times the difference of fifteen and four hours.

The number of hours that James have to work each week will be:

= 5(38) - 3(15 - 4)

= 5(38) - 3(11)

= 5(38 - 33)

= 5 × 5

= 25 hours

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Answer:

900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2

Step-by-step explanation:

900/2 = 450

450/2 = 225

225/3 = 75

75/3 = 25

25/5 = 5

5/5 = 1

900 = 2 * 2 * 3 * 3 * 5 * 5 = 2^2 * 3^2 * 5^2

Answer:

For this question, you can use the simultaneous equation to solve this problem.

Equation 1 reads: x + y = 34. (There are 34 notes in total.)

Equation 2: 5x + 10y = 235 (The notes are worth a total of $235.)

To find x in terms of y, we can apply equation 1:

x = 34 - y

When we use this expression to replace x in equation 2, we obtain:

5(34 - y) + 10y = 235

By condensing and figuring out y, we get at:

y = 15

There are 15 $10 bills in the wallet as a result.

Answer:

I think its C

Step-by-step explanation:

Answer:

3 bags with 6 pencils and 12 stickers.

Step-by-step explanation:

3 goes into both 24 and 36 which makes this possible

3 bags with 8 pencils and 12 stickers ( 3 ⋅ 8 = 24 and 3 ⋅ 12 = 36 )

4 bags with 6 pencils and 9 stickers ( 4 ⋅ 6 = 24  and 4 ⋅ 9 = 36 )

6 bags with 4 pencils and 6 stickers ( 6 ⋅ 4 = 24 and 6 ⋅ 6 = 36 )

12 bags with 2 pencils and 3 stickers( 12 ⋅ 2 = 24 and 12 ⋅ 3 = 36 )