Un árbol ha sido roto por el viento de tal manera que sus dos partes forman un triángulo rectángulo. la parte superior tiene una longitud de 10 m, y la distancia medida sobre el piso hasta la cúspide del árbol es de 6 m. hallar la altura que tenía el árbol.

The hypotenuse is √[(√2)² + (√3)²] = √(2+3) = √5 units.

The Iongest side of a right-angIed triangIe, or the side opposite the right angIe, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the Iength of the hypotenuse equaIs the sum of the squares of the Iengths of the other two sides, can be used to determine the Iength of the hypotenuse.

The Iength of the Iegs are 1 unit, √2 units.

The hypotenuse is √[(1)² + (√2)²] = √(1+2) = √3 units.

The Iength of the Iegs are √5 units, √2 units.

The hypotenuse is √[(√5)² + (√2)²] = √(5+2) = √7 units.

The Iength of the Iegs are √5 units, √3 units.

The hypotenuse is √[(√5)² + (√3)²] = √(5+3) = √8 units.

The Iength of the Iegs are √5 units, 1 unit.

The hypotenuse is √[(√5)² + (1)²] = √(5+1) = √6 units.

The Iength of the Iegs are √2 units, √3 units.

The hypotenuse is √[(√2)² + (√3)²] = √(2+3) = √5 units.

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Answer:

c

Step-by-step explanation:

Answer:

nice and

since it is complementary then a +b = 90

and substitution gives

69 + b = 90

b = 21

hope this helped and brainliest pls

Answer:

21

Step-by-step explanation:

I assume you are dealing with complementary angles.

m<a + m<b = 90

69 + m<b = 90

m<b = 90 - 69

m<b = 21

Answer:

b

Step-by-step explanation: I have the answer key

Answer:

x = 24; x = 25

Step-by-step explanation:

Question 1

x/4 = 6

x = 24  *multiply both sides by the denominator to isolate the x value

Question 2

x/2 = 12.5

x = 25 *multiply both sides by the denominator to isolate x

Answer:

47/4

Step-by-step explanation:

50=3+4W

4W=50-3

4W=47

W=47/4

Answer:

The answer is 1 and three

Step-by-step explanation:

Your answer is A. "Equations I and III"

Hoped this helped!

Therefore, the average lateness using the earliest due date criterion is 2. The corect option is not one of the given options (A, B, C, or D).

To calculate the average lateness using the earliest due date criterion, we need to first determine the sequence in which the jobs should be processed. The earliest due date (EDD) criterion schedules jobs in the order of increasing due dates, so we will arrange the jobs in this order:

c, a, e, b, d

The table below shows the processing time, due date, and completion time of each job, as well as the lateness (completion time - due date) for each job:

Job Processing Time Due Date Completion Time Lateness

c 4 4 4 0

a 2 7 6 -1

e 5 15 11 -4

b 8 16 19 3

d 10 17 29 12

To calculate the average lateness, we add up the lateness values for all jobs and divide by the total number of jobs:

Average lateness = (0 + (-1) + (-4) + 3 + 12) / 5

= 2

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Answer:

x = 32.5

y = 65

Step-by-step explanation:

y = 65 degrees

65 and y are the base angles in an isosceles triangle ( single lines)  so they are equal

y+z = 180 since they form a straight line

65+z = 180

z = 180-65

z = 115

The second triangle is also an isosceles triangle so the base angles are the same as shown by x

180 = x+x+z

180 =2x+ 115

65 = 2x

Divide by 2

x = 32.5

Answer:

x = 3

Step-by-step explanation:

4x - 5 = 2x + 1

Subtract 2x from both sides;

2x - 5 = 1

Add 5 to both sides;

2x = 6

Divide both sides by 2;

x = 3

Answer:

X-3

Step-by-step explanation:

Answer:

x = 83.7 units

Step-by-step explanation:

Using cosine rule:

→ adjacent/hypotenuse = cos(∅)

→ 56/hypotenuse = cos(48)

→ hypotenuse = 56/cos(48)

→ hypotenuse = 83.7 units

Answer:

83.7

Step-by-step explanation:

We can solve this using SOHCAHTOA:

RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.

\(cosQ = \frac{RQ}{SQ}\\ cos(48) = \frac{56}{x}\\ x = \frac{56}{cos(48)}\\ x = 83.7\)

Answer:

The correct option is B,15% tax rate with $375 in taxes owed

Step-by-step explanation:

Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.

The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains

capital gains tax=$2500*15%=$375

Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate

Step-by-step explanation:

$2500=$550  22%

Plato

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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A system of equation is 1680mi3hr = p−w×600×2hr -p + w  for a jet airliner travels 1680 miles in 3hours with a tail wind.

Let p be  the speed of the jet airliner

and w  be the speed of the tail wind

It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get

1680mi3hr = p−w×600×2hr = p + w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation, we use

200mph = p - w

Add w to both sides:

p = 200mph + w

Using the value of x, we can found the value of w using system of equations.

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

On dividing by 2:

50mph = w

So the speed of the tail wind is 50mph.

Therefore, 200mph = p - 50mph

Add 50mph on both sides:

250mph = p

Hence, speed of jet airliner is 250mph.

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The value of y in the given figure is 108°.

The angles formed by a transversal line on the same side and position of the line, if lines are parallel then the corresponding angle are congruent.

Given is a figure, where two line AB and CD are being intersected by a transversal FE,

Let FE intersects AB and CD at P and O, respectively, (refer to the figure attached)

Since, AB ║ CD

Therefore, ∠ FPB  ≅ ∠ POD by the definition of corresponding angles,

2x+16 = 3x-12

x = 28

∠ POD = 28×3-12 = 72°

∠ POD and ∠ EOD are forming linear pair and therefore are supplementary,

∠ POD + y = 180°

72° + y =180°

y = 180°-72°

y = 108°

Hence, y = 108°

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The probability of getting 9 or more heads when flipping 12 biased coins once is approximately 0.4013 or 40.13%.

Hence, the correct option is C.

To solve this problem, we can use the binomial distribution formula, which gives the probability of getting k successes in n independent trials, where the probability of success is p.

P(k successes) = (n choose k) * p^k * (1 - p)^(n - k)

Where (n choose k) is the number of ways to choose k items from a set of n items, and is calculated as

(n choose k) = n! / (k! * (n - k)!)

For this problem, we have 12 coins that are flipped once each, and the probability of getting a head for each coin is given.

n = 12 (the number of trials)

p = 0.65, 0.6734, 0.3467, 0.0016, 0.0938 (the probability of success for each coin)

k = 9, 10, 11, 12 (the number of successes we're interested in)

Then, we can calculate the probability of getting 9 or more heads by adding up the probabilities of getting 9, 10, 11, or 12 heads

P(9 or more heads) = P(9 heads) + P(10 heads) + P(11 heads) + P(12 heads)

P(9 heads) = (12 choose 9) * 0.65^9 * 0.35^3 = 0.1949

P(10 heads) = (12 choose 10) * 0.6734^10 * 0.3266^2 = 0.1919

P(11 heads) = (12 choose 11) * 0.3467^11 * 0.6533^1 = 0.0145

P(12 heads) = (12 choose 12) * 0.0938^12 * 0.9062^0 = 0.0000000967

Therefore,

P(9 or more heads) = 0.1949 + 0.1919 + 0.0145 + 0.0000000967 = 0.4013

Hence, the correct option is C.

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-- The given question is not correct, the correct question is

" If 12 biased coins are flipped once, what is the probability of getting 9 or more heads? The colns are biased such that the probability of a head with any coin is A. 0.65 B. 0.6734 C. 0.4013 D. 0.0016 E. 0.0938" --

Answer:

74

Step-by-step explanation:

All you have to do it first add f(x)+ g(x) and then plug in x=5.

(f+g) = f(x) + g(x)

= (7x- 2) + (9x-4)

= 7x - 2 + 9x - 4

= 16x - 6

(f + g)(5) = 16(5) - 6

= 80 - 6

= 74

The calculated value of d is 4

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

The circle

The value of d can be calculated using the equation of secant and tangent intersection

using the above as a guide, we have the following:

d * 9 = 6 * 6

Evaluate the products

So, we have

9d = 36

Divide by 9

d = 4

Hence, the value of d is 4

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The equation of the hyperbola is (x^2/81) - (y^2/19) = 1, given the values b = 9 and c = 10.

For a hyperbola with a horizontal transverse axis, the equation takes the form (x^2/a^2) - (y^2/b^2) = 1, where a represents half the distance of the transverse axis and b represents half the distance of the conjugate axis. In this case, b = 9.

The value of c can be determined using the relationship c^2 = a^2 + b^2, where c represents the distance from the center to each focus. Given c = 10, we can calculate a^2 as a^2 = c^2 - b^2 = 100 - 81 = 19.

Thus, the equation of the hyperbola is (x^2/81) - (y^2/19) = 1. This equation represents a hyperbola with vertices at (±9, 0) and foci at (±10, 0).

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Answer: Since both terms are perfect squares, factor using the difference of squares formula,  

a 2  −  b 2 =  ( a + b )  ( a − b)  where  a = 11  and  b = x . ( 11+x) (11-x)

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Answer:

30

Step-by-step explanation:

all traiangles have to same vetec

Answer:

Since the angle on the top is a 90 degree as you might have noticed.

And the other angle is 30 degrees.

Then the last angle should be 60 degrees.

(Because every angle in a triangle should add up to 180 degrees)

I don't know about the measure of the sides tho.

Hope that helps !

The required measure of the angle ∠spq of a rhombus is 110°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For rhombus,
m∠spr=(2x + 15)°
m∠qpr=(3x−5)°

And,
m∠spr = m∠qpr
2x + 15 = 3x - 5
x = 20

Now,
∠spq = m∠spr + m∠qpr
        = 2x + 15 + 3x - 5

        = 5x + 10
        = 5(20) + 10
        = 110°

Thus, the required measure of the angle ∠spq of a rhombus is 110°.

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The answer to this question is -8 please give 5 start and hart me ttyl

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

Answer:

y=27, x=80

Step-by-step explanation:

∠N= 63°(angles opposite to equal sides)

2∠y+63+63=180°(angle sum property)

2∠y=54°

∠y=27°

27°+63°+∠x=180°(ASP)

∠x=180°-90°=90°

Hope it helps, mark me brainliest pls

The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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