Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A. 6 cm, 7 cm, 8 cm
B. 4 cm, 8 cm, 13 cm
C. 3 cm, 3 cm, 3 cm
D. a 7 cm, 7 cm, 10 cm
E. 5 cm, 9 cm, 14 cm

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

The system of equations we need to solve is:

x*90 + y*50 = 860

y = x + 6

Solving that we will see that there are 4 mini hot dogs and 10 pizza rolls.

First, we need to define the variables we will be using, these are:

x = number of mini hotdogs.

y = number of pizza rolls.

We know that the combination has 860 calories in total, so:

x*90 + y*50 = 860

We also know that there are 6 more pizza rolls than mini hotdogs, so:

y = x + 6

Then the system of equations is:

x*90 + y*50 = 860

y = x + 6

Replacing the second equation into the first one, we will get:

x*90 + (x + 6)*50 = 860

Now we can solve this for x.

x*90 + x*50 + 300 = 860

x*140 + 300 = 860

x*140 = 860 - 300

x*140 =  560

x = 560/140 = 4

So there are 4 mini hotdogs, and:

y = x + 6

y = 4 + 6 = 10

There are 10 pizza rolls.

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Answer:

$28

20 plus 40 percent

that's the answer

The solution of the expression is; |y-x| = y - x without using absolute value.

Numerical articulation is characterized as the assortment of the numbers factors and works by utilizing tasks like expansion, deduction, increase, and division.

Given that;

from the question the expression is;

⇒ |y−x| , if y > x

⇒ If y > x,

⇒ y - x > 0

then |y-x| is equal to (y-x),

since (y-x) is always positive in this case.

Therefore, The solution of the expression is; |y-x| = y - x

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The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.

We are given that;

The logs log, 26, log, 33 and log3 26

Now,

We can simplify these expressions using the following identities:

eln x = x

log a a = 1

log a (b × c) = log a b + log a c

log a (b / c) = log a b - log a c

Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:

A. eln 4 = 4; log 26 < log 33; so we have:

4 < log 26 < log 33

B. eln 4 = 4; so we have:

log 33 < 4 < log 26 < log 26

C. eln 4 = 4; so we have

log₂ 26 < log 26 < log 33 < 4

D. eln 4 = 4; so we have:

log₂ 26 < log₂ 33 < log 26 < 4

Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.

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Answer:

this might help.......

Step-by-step explanation:

...

The slope of the line segment representing the flight is 0.04.

The slope of a line segment is calculated by dividing the change in the vertical direction (the altitude) by the change in the horizontal direction (the distance traveled). In this case, the change in the vertical direction is 800 meters (800 / 1000 = 0.8 kilometers) and the change in the horizontal direction is 20 kilometers. Therefore, the slope of the line segment is 0.8 / 20 = 0.04.

In other words, for every kilometer that Ron travels, he gains 4 meters in altitude.

Here is the solution in more detail:

Define the variables.

x: The distance traveled in kilometers.

y: The altitude in meters.

Write the equation for the line segment.

The slope of the line segment is 0.04, so the equation for the line segment is y = 0.04x + b.

We know that when x = 0, y = 0, so b = 0.

Substitute the known values into the equation.

We know that x = 20 and y = 800, so we can substitute these values into the equation to get 800 = 0.04 * 20 + 0.

Simplifying the right side of the equation, we get 800 = 0.8.

Solve for the slope.

The slope is 0.8 / 20 = 0.04.

Therefore, the slope of the line segment representing the flight is 0.04.

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In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

\(4n+5\)

Answer:

I think it should be zero

Answer:

658.91$

Step-by-step explanation:

Find the total cost

flight cost 397$

staying at the hotel for 6 night cost 6 x 28.43£

= 170.58£ = 233.69$

breakfast for 4 morning cost 4 x 5.15£= 20.6£

= 28.22$

Total cost is 397$+233.69$+28.22=658.91$

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

sorry for my handwriting

i think this is the correct answer

Answer:

D. 1.33

Step-by-step explanation:

\( \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33\)

Answer:

3,4

Step-by-step explanation:

The relative maximum for the given graph is (3,4).

We need to find the relative maximum for the given graph.

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Here, the ordered pair (3,4) is the relative maximum for this graph.

Therefore, the relative maximum for the given graph is (3,4).

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Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

The extra amount that the store would have to pay for buying 2 hardcover and 4 paperback books instead of her original plan is $1.51

The paper back books have a discount of 25%

hence we what would be paid for in such category would be 1 - 25% charge = 75 %

price of hardcover = 17.95

price of paperback = 9.95 dollars

Isa bought 2 hardcover and 4 paper back

we are to find the cost of these items

2 x 17.95 + (4 x 9.95 x 75%)

= 35.9 + 29.85

= 65.75

We have to find the cost of the initial plan of  2 hardcover and 3 paperback books.

2 x 17.95 + 3 x 9.95 x 0.75

35.9 + 22.3875

= 58.29

This is less than 59 dollars, she would have to pay the shipping fee.

58.29 +  $5.95

= 64.23

The extra amount that she has had to pay for going with  2 hardcover and 4 paperback books is:

65.75 - 64.23

= 1.51 dollars

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9514 1404 393

Answer:

  12.6 rad/s

Step-by-step explanation:

1080 degrees in 1.5 seconds is an angular rate of ...

  (1080°)/(1.5 s) = 720 °/s

There are π radians in each 180°, so this angular speed is ...

  720 °/s = 4×180 °/s = 4×π rad/s ≈ 12.6 rad/s

Sasha's average angular speed is 12.6 rad/s.

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer:=42 cm

Step-by-step explanation:

Strap=(a+b)*h/2    ( where a and b are trapezoid' s  bases and h is a height)

So   864=(30+b)*24/2

30+b=864*2/24

30+b=864/12

30+b=72

b=72-30

b=42 cm

Answer:

D). The second difference is not constant

Step-by-step explanation:

The answer is D I hope it helps

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}\)

We can write this as:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}\)

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}\)

Then we have the inequality

\(1 > (x - 2)/3\)

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

Answer:

see below

Step-by-step explanation:

To be arithmetic we have to add the same term each time

1,1,2,3,5,8

1+1 =2  2+1 = 3  3+1 = 4  so it is not arithmetic

20,17,14,11,8,....

Add -3

20+-3 =17   17+-3 = 14  14+-3 = 11   11+-3 = 8

This is an arithmetic sequence

The common difference is -3

The explicit formula is

an = a1+ d(n-1)  where d is the common difference and a1 is the first term

an = 20 -3( n-1)

The recursive formula is

an = an-1 + d  where an-1 is the previous term and d is the common difference

an = an-1  -3

3,7,11, 15

Add 4

3+4=7  7+4=11  11+4=15

This is an arithmetic sequence

The common difference is 4

The explicit formula is

an = a1+ d(n-1)  where d is the common difference and a1 is the first term

an = 3 +4( n-1)

The recursive formula is

an = an-1 + d  where an-1 is the previous term and d is the common difference

an = an-1  +4

The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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Answer:

f

(

x

)

=

2

x

−

2

−

5

f

x

=

2

x

+

2

+

5

f

x

=

2

x

−

10

−

f

x

=

2

x

+

11

Step-by-step explanation:

Answer: B. f(x) = (x + 1)2 + 5 

Answer:

B. 2.85

Step-by-step explanation:

to find the average of multiple numbers, we add them together and divide by the number of values we combined

for example: the average of 1, 2, and 3:

1 + 2 + 3 = 6

6 / 3 (because there were 3 numbers) = 2

so, this average would be 2.

Let's add the weights (I have changed these into a denominator of 20, so that they can be easily added. Let me know if you need clarification on how I did so)

1 1/2 pounds, 4 3/4 pounds, 2 3/10pounds

1 1/2 = 1  10/20

4 3/4 = 4  15/20

2  3/10 =  2   6/20

1 10/20 + 4 15/20 + 2 6/20 = 7  31/20

7 31/20 = 8 11/20

8 11/20 = 8.55

8.55 / 3 = 2.85

so, the average weight of these packages is 2.85 [pounds]

hope this helps! ^u^

The measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.

Given that, MN=4x-0.1 meters and NK=2x+0.4 meters.

Here, diagonal = MK=MN+NK

= 4x-0.1+2x+0.4

= 6x+0.3

Therefore, the measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.

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Answer:

The value of x is 16.

The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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Answer:

The first step in simplifying this expression is to evaluate the terms within the parenthesis - starting with the multiplication and following the rules for operations in math.

Answer:

Expanding brackets

Step-by-step explanation:

4(3x)+4(-2)+6x(2)+6x(-1)

12x - 8 + 12x - 6x