Una persona observa en un ángulo de 54° lo alto que es un edificio; si la persona mide 1,72 metros y está ubicada a 18 metros de la base del edificio.

a) cuál es la altura en metros del edificio

Step-by-step explanation:

5(10)+1

50+1

51

10 could be one possible answer

5x = 10

x = 2

2(2) + 2y = -2

4 + 2y = -2

2y = -6

y = -3

Answer:

Correct answer is the 4th answer.

Step-by-step explanation:

By definition, a matrix is called diagonalizable if there exists some invertible matrix P and a diagonal matrix D such that AP = PD, which is equivalent to having A = PDP^-1.

We are not told that D is a diagonal matrix, hence, it could be any matrix. If A=PDP^-1 for some matrix D that is not diagonal, it doesn't imply that A is diagonalizable. Consider the following case: Let us take A a non diagonalizable matrix. Take D = A and P = identity matrix of size n. Then, this equation holds, but A is still not diagonalizable.

Answer:

2/3

Step-by-step explanation:

1/4 ÷ 3/8 = 1/4 x 8/3 = 8/12 = 2/3

Answer:

2/3

Step-by-step explanation:

to divide make sure to use the reciprocal of the 3/8 which is

1/4*8/3

reduce the numbers with the greatest common factor divisor of 4

8/4=2 then 1*3 equals 3 which is 2/3

so it is  2/3

Answer:

ABC | Stock price

Q1 | $10.50

Q2 | $11.50

Q3 | $9.00

Q4 | $10.50

Step-by-step explanation:

Answer is 37 shares on AP3X

Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

-17+2 divided by 24-4

-15/20

-3/4

Answer:

-3/4

Step-by-step explanation:

The slope of a line is given by

m = (y2-y1)/(x2-x1)

   = (-17- -2)/(24-4)

   = (-17+2)/(20)

    = -15/20

   =-3/4

Answer:

168 adult tickets were sold

Step-by-step explanation:

Multiply the amount of students by the cost of the student ticket (82 times 3.75) which equals 307.5 . Subtract that from the total amount earned (2071.5) and you get 1764. Divide that by the cost of an adult ticket (10.50), and you'll get the amount of adults who attended, which is 168.

Answer:

168 Adult tickets were sold

Step-by-step explanation:

Vote me brainliest

Answer:

Two triangles are said to be similar if any two corresponding sets of angles are equal and the corresponding sides are in the same ratio.

Answer:

  (0, 7.5)

Step-by-step explanation:

Compare the equation to the standard-form equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . center at (h, k); radius r

You will notice that ...

  h = 0

  k = 7.5

The center is (h, k) = (0, 7.5).

Answer:

[tex]\Delta s_{T} = 4712.4\,m[/tex]

Step-by-step explanation:

(This exercise is written in Spanish and for this reason the response will be presented in such language).

La distancia recorrida por la mulita tras una vuelta es:

[tex]\Delta s = 2\pi\cdot (5\,m)[/tex]

[tex]\Delta s \approx 31.416\,m[/tex]

Ahora, la distancia recorrida total es directamente proporcional a la cantidad de vueltas invertidas. Este indicador se determina por regla de tres simple:

[tex]\Delta s_{T} = \frac{150}{1}\times (31.416\,m)[/tex]

[tex]\Delta s_{T} = 4712.4\,m[/tex]

Answer:

angle ABC and angle KLM

Step-by-step explanation:

Angle ABC equals to 35 degrees and KLM equals to 95 degrees. Their sum equals 135 degrees.

Answer:

The answer is B and C.

Step-by-step explanation:

When these 2 angles are added together, they form 130° :

∠ABC + ∠KLM = 35° + 95°

= 130°

Answer:

  9/23

Step-by-step explanation:

Of the 23 students, 9 play both baseball and basketball. The probability of choosing one of those is 9/23.

___

Let A represent basketball, and B represent baseball. Then ...

  P(A or B) = P(A) +P(B) -P(A and B)

Since 8 students play neither sport, we have ...

  1 -8/23 = 11/23 +13/23 -P(A and B)

  15/23 = 24/23 -P(A and B)

  P(A and B) = (24 -15)/23

  P(A and B) = 9/23

Answer:

r=2q-6

Step-by-step explanation:

10q-5r=30

Subtract 10q from both sides:

-5r=30-10q

Divide both sides by -5:

r=2q-6

Hope this helps!

Answer:

the median is 10 and 12

the mean is 11.17

Step-by-step explanation:

Mean=11.16

Median=11

look at the attached picture

Hope it will help you...

Good luck on your assignment..

~pragya

Answer:

hey

Step-by-step explanation:

Answer:

Parameter

Step-by-step explanation:

A statistic describes a sample.  A parameter describes a population.  Since the entire population of second graders in the district is surveyed, this is a parameter.

Answer:

120 Blocks or letter C

Step-by-step explanation:

I did 8x5x3, because lxwxh so i got 120

Consider the matrix

[tex]A=\begin{bmatrix}0&1&0\\1&0&0\\0&0&1\end{bmatrix}[/tex]

Multiplying A by itself has the effect of swapping the first and second rows:

[tex]A^2=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}[/tex]

which is diagonal, while A itself is not.

Step-by-step explanation:

Fig rolls = 1.08

Half price = 1.08 ÷ 2 = 0.54

Total price = 1.08 + 0.54 = 1.62

Answer:

£8.52

Step-by-step explanation:

Fig rolls: £1.08+£1.08=£2.16

Crisps: £1.59+£1.59=£3.18 £3.18x2=£6.36

Total price= £2.16+£6.36=£8.52

Answer:

63

Step-by-step explanation:

You simply just multiply the 7 and 9.

Answer:

  g(x) is f(x) expanded horizontally by a factor of 2

Step-by-step explanation:

Given:

  f(x) = 16^x

  g(x) = 16^(x/2)

__

Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...

  g(x) = f(x/2)

so g(x) is a horizontal expansion of f(x) by a factor of 2.

Answer:

c). The output values of g(x) are the square root of the output values of f(x) for the same value of x.

Step-by-step explanation:

Answer:

1) If the manufacturer's assumptions are correct, it would reed to replace 0.621% of its batteries free

2) The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of 6.084 results in a 1.07% replacement rate

3) Using the revised standard deviation for battery life, the percentage of the manufacturer's batteries that don't qualify for free replacement but do qualify for the prorated credit = 92%

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 45 months

Standard deviation = σ = 5.6 months.

Batteries that fail within the first 31 months get a free replacement and batteries that fail after 31 months but within 54 months get a prorated credit toward the purchase of a new battery.

1) Percentage of batteries that'll qualify for a replacement are the batteries that fail within 31 months. That is, P(X ≤ 31)

To obtain this, we first normalize or standardize 31 months.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (31 - 45)/5.6 = - 2.50

The required probability

P(X ≤ 31) = P(z ≤ -2.50)

We'll use data from the normal probability table for these probabilities

P(X ≤ 31) = P(z ≤ -2.50) = 0.00621 = 0.621%

2) The company finds that the percentage of free batteries replaced is actually 1.07%

P(X ≤ 31) = 1.07% = 0.0107

Let the z value of 31 months under this new normal distribution be z'

P(X ≤ 31) = P(z ≤ z') = 0.0107

From the normal distribution table,

z' = -2.301

z' = (x - μ)/σ

-2.301 = (31 - 45)/σ

σ = (-14) ÷ (-2.301) = 6.084 months

3) Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

That is, P(31 < X ≤ 54)

We first normalize 31 and 54 using the revised standard deviation

For 31

z = (x - μ)/σ = (31 - 45)/6.084 = - 2.30

For 54

z = (x - μ)/σ = (54 - 45)/6.084 = 1.48

The required probability = P(31 < X ≤ 54)

= P(-2.30 < z ≤ 1.48)

Using the normal distribution tables

P(31 < X ≤ 54) = P(-2.30 < z ≤ 1.48)

= P(z ≤ 1.48) - P(z < -2.30)

= 0.93056 - 0.0107

= 0.91986 = 91.986% = 92% to nearest whole number.

Hope this Helps!!!!

Answer:

[tex] y- y_o = m(x-x_o) [/tex]

For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:

[tex] y -(-3) = 2 (x-4)[/tex]

And if we reorganize the terms we have:

[tex] y+3 = 2x -8[/tex]

And subtracting 3 in both sides we got:

[tex] y = 2x -11[/tex]

Step-by-step explanation:

For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: [tex] g(4) =-3, g'(4)=2[/tex]

So we need a function like this one:

[tex] y- y_o = m(x-x_o) [/tex]

For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:

[tex] y -(-3)=2(x-4)[/tex]

And if we reorganize the terms we have:

[tex] y+3 = 2x -8[/tex]

And subtracting 3 in both sides we got:

[tex] y = 2x -11[/tex]

Answer:

$225

Step-by-step explanation:

Total share ratio = 4+5 = 9

Lionel's ratio = 5

Lionel's share = (5/9) × 675

                       = $375

Lionel's mum = (3/5) x 375

                      = $225

Answer:

  true

Step-by-step explanation:

We assume you intend your function to be ...

  [tex]F(x)=\log_{0.5}x[/tex]

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

Answer:

Step-by-step explanation:

As the problem is written, you have ...

  [tex]\dfrac{x}{4} =x+\dfrac{1}{5}\\\\5x=20x+4\qquad\text{multiply by 20}\\\\-15x=4\\\\x=-\dfrac{4}{15}[/tex]

__

If you add parentheses to include x in the numerator, then you have ...

  x/4 = (x +1)/5

  [tex]5x=4(x+1)\qquad\text{multiply by 20}\\\\5x -4x = 4\qquad\text{eliminate parentheses, subtract 4x}\\\\x=4[/tex]

__

Additional comment

We include the second working because it is a fairly common mistake to neglect to put parentheses around a numerator or denominator. The solutions to such problems are not often fractions, so we suspect you intend the latter form.

Answer:

The first option; You must work about 62 hours.

Step-by-step explanation:

The total percent that you pay in taxes is 24.9%.

That means that you keep 75.1% of the money that you earn. We can write the following equation to determine the number of hours, h, that it will take to earn 493.68.

0.751(10.65)h = 493.68

Just divide by 0.751 and 10.65 and you will get the number of hours needed. 

Answer:

A.) 62 hours

Step-by-step explanation:

I took the consumer math test :)