Find m<1

(Picture included)

Answer:

20.5

Step-by-step explanation:

Use Pythagorean theorem,

[tex]x^2 = 14^2 +15^2 \\\\\implies x^2 =421\\\\\implies x =\sqrt{421}\\\\\implies x =20.5[/tex]

Usando técnicas de conteo, se encuentra que

1. Un cliente puede ordenar una comida de 784 formas.

2. 420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.

3. 840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.

4. 10 partidos distintos se pueden realizar.

5. Pueden colocarse de 3,628,800 formas.

6. 1260 señales distintas pueden indicarse.

Item 1:

La técnica usada es el principio fundamental de conteo, que afirma que si hay n cosas, cada una con [tex]n_1, n_2, \cdots, n_n[/tex] maneras de seren realizadas, el número total de maneras de ser realizadas es:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

En este problema, [tex]n_1 = 14, n_2 = 8, n_3 = 7[/tex], por eso:

[tex]T = 14 \times 8 \times 7 = 784[/tex]

Un cliente puede ordenar una comida de 784 formas.

Item 2:

El orden es importante, ya que TECN es una palabra diferente de NCET, por lo tanto, la fórmula de permutaciones se usa para resolver este problema.

Fórmula de permutaciociones:

El número de permutaciones de x elementos en un conjunto de n elementos es dada por:

[tex]P_{n,x} = \frac{n!}{(n - x)!}[/tex]

En este problema, 4 letras de 7, enconteces:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

La letra C se repite dos veces, o sea:

[tex]T = \frac{P_{7,4}}{2} = \frac{840}{2} = 420[/tex]

420 grupos de 4 letras se pueden formar con las letras de la palabra TECNICA.

Item 3:

Permutaciones de 4 dígitos de 7, sin repeticiones, o sea:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

840 números de 4 dígitos se pueden formar con los primeros 7 números naturales.

Item 4:

El orden no es importante, ya que Time 1 x Time 2 es la misma partida de Time 2 x Time 1, por lo tanto, la fórmula de combinaciones se usa para resolver este problema.

Fórmula de combinaciones:

El número de combinaciones de x elementos en un conjunto de n elementos es dada por:

[tex]C_{n,x} = \frac{n!}{x!(n - x)!}[/tex]

En este problema, combinaciones de 2 elementos de un conjunto de 5, entonces:

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

10 partidos distintos se pueden realizar.

Item 5:

El número de arreglos de n elementos viene dado por

[tex]A_n = n![/tex]

En este problema, arreglo de 10 elementos, o sea:

[tex]A_{10} = 10! = 3628800[/tex]

Pueden colocarse de 3,628,800 formas.

Item 6:

El número de arreglos de n elementos, con repeticiones de [tex]n_1, n_2, \cdots n_n[/tex] elementos viene dado por

[tex]A_n^{n_1,n_2,\cdots,n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]

En este problema, [tex]n = 9, n_1 = 3, n_2 = 2, n_3 = 4[/tex], por eso:

[tex]A_9^{3,2,4} = \frac{9!}{3!2!4!} = 1260[/tex]

1260 señales distintas pueden indicarse.

Un problema similar es dado en https://brainly.com/question/19022577

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

        450÷45=10 chocolate cakes baked.

Answer: (2,1)

Step-by-step explanation:

Answer:

+4.5B+0.5B-1.5B+0.5‐0.5+0.5

Answer:

9 x + 42.

Step-by-step explanation:

Answer:

72x+178" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">72x+17872x+178

Answer:

120

Step-by-step explanation:

The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.

Answer:

28% are green or red

Step-by-step explanation:

Answer:

88.14 N

64.74 N

Step-by-step explanation:

Step-by-step explanation:

OOOO

BYE

Answer:

207,974.375

I'm not sure if you need an explanation, and I myself, am not sure I can explain it to you, so I'll just give the answer to you.

Hope this helps!

Multiplication equations can be modeled using decimal models.

The multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

From Phil model, we have the following highlights

So, the multiplication expression is:

[tex]\mathbf{\frac{50}{100} \times \frac{90}{100}}[/tex]

Express as decimals

[tex]\mathbf{0.50 \times 0.90}[/tex]

Multiply

[tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

Hence, the multiplication equation is: [tex]\mathbf{0.50 \times 0.90 = 0.45}[/tex]

Read more about decimal models at:

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When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a negative correlation.

Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.

Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.

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Answer:

-3

Step-by-step explanation:

using pemdas, we first divide -18 by 6 to get -3. next, we subtract -3 from -6: -6-(-3)=-6+3=-3

Answer: -3

Step-by-step explanation:

For this, you want to use PEDMAS

This is Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. The first step would be to divide -18/6. This will come out to -3

Answer:

A and E

Step-by-step explanation:

Answer:

Line A:  constant of proportionality is 4/3

Step-by-step explanation:

The equation in question is y = (4/3)x, where (4/3) is the constant of proportionality as well s the slope of the line.  The only line here that has a slope greater than 1 is the blue line (A).

Answer:

no se bro no se inglés así no se que bas a aaer

Step-by-step explanation:

pero puedes consultar por

Answer: -3x

Step-by-step explanation:

(-x)+(-x)=-2x

-2x+(-x)=-3x

Answer:

Answer: The answer is $20

Multiply 400 by .05 or 5%.

If you wanna know 6 years it would be 536 usd

Explanation:

This would be an compound interest. Meaning that your gain every year would increase exponentially.

The equation to calculate this would be: Kn = K0⋅

(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.

Kn=400⋅

(1+5100)6

Step-by-step explanation:

CREDIT FOR ANSWER GOES TO  

calderonj4588

Answer:

I don't see any statements, but Tamara paid less. She paid 19.8 after the discount. David spent a little more at 19.95

Answer:

81 - a

Step-by-step explanation:

Decreased

means to subtract

81 –

by an unknown number

means a variable such as a or x

therefor

81 – a

y=3/4x+1/4

I hope this helped :)

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4(x+3)

4y+8=3x+9

4y=3x+9-8

4y=3x+1

y=3/4 x+1/4

Step-by-step explanation:

No, it is not possible for a regular polygon to have 240° as the measure of each of

its interior angles.

according to the formula:

A = 180 - (360 /n)

where A is the interior angle

therefore, the A could be less than 180°

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Hey there!

32/8

= 32 ÷ 8 / 8 ÷ 8

= 4 / 1

Therefore, your answer should be: 4:1 or 4/1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

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