Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante al primero si su hipotenusa mide 15m?

Answers

Answer 1

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.


Related Questions

Work out 4 x (1+5-8)

Answers

Answer:

-8

Step-by-step explanation:

1+5=6

6-8=-2

4x-2=-8

Answer:

8

Step-by-step explanation:

if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positive

42kg in the ratio 1:5

Answers

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Classify ∠COB in the image below as either Acute, Obtuse, Right, or Straight.

Answers

Answer:

obtuse

Step-by-step explanation:

The measure of ∠COB is 140° which is greater than 90° but less than 180° so it's an obtuse angle.

Angle COB is 140 degrees, which is Obtuse

Obtuse means between 90 degrees and 180 degrees, exclusive.

A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.

Please help!!!

Answers

Answer:

1/4

Step-by-step explanation:

there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4

Write a rational expression that simplifies to x-3,x≠1

Answers

Aswer:

[tex]\frac{(x-1)(x-3)}{x-1}[/tex]

Step-by-step explanation:

Answer:

x-3:m=1

Step-by-step explanation:

Which is a property of an angle

Answers

Answer:

it had made of two lines including an angle...

Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x

Answers

Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Answer:

5  < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5  < 10x - 3

Please help! Correct answer only please! I need to finish this assignment by today.

Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?

Simplify your answer and write it as a fraction or whole number.

P(blond) =

Answers

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

Learn more about probability here:

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there are two spinners. spinner A has 2, 4, 6 on it. spinner B has 3, 6 and 9 on it. wat is the probability of scoring more than 3

Answers

Answer:

5/6

Step-by-step explanation: im not sure if this is right...?

Factor the trinomial by grouping.
6x^2 - 7x-20

Answers

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

You have 6x^2 - 7x-20, you add and take 8x so now you have

6x^2 - 7x +8x -8x -20 now you take 6x^2  and the +8x and factorize

6x^2 +8x = 2x( 3x +4 )

and you have -7x -8x-20 = -15x -20 factorize

-5(3x +4 ) add all up.

2x(3x +4) -5(3x +4) and you have

(3x+4)(2x-5)

How can I Simplify -(x+5)+3x

Answers

Answer:

2x - 5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses first to get

-x -5 + 3x

Combine like terms

= 2x - 5

Answer:

2x-5

Step-by-step explanation:

=-(x+5)+3x

=-x-5+3x  opening brackets

=-x+3x-5

=2x-5

Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F)  [tex]= \frac{24}{36}[/tex]

Step-by-step explanation:

Given Each number cube has sides numbered 1 through 6

Two distinct number cubes are rolled together

Total number of exhaustive cases n(S) = 36

Let 'E' be the event of getting sum is even

n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]

Let 'F' be the event of getting sum that is a multiple of '3'

n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12

[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]

n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5

[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F) = P(E) + P(F) - P( E∩F)

            [tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]

7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
sweeps an area of 48 cm. (Taken=22/7)
(3 marks)
Page 2 of 3​

Answers

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = [tex]\frac{22}{7}[/tex]

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  [tex]\frac{22}{7}[/tex] × (3.5)²

48 = Ф/360  ×  [tex]\frac{22}{7}[/tex] ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Write Successor of 999 please help me ​

Answers

Answer:

1000

Step-by-step explanation:

The successor of 999 is 1000

999+1=1000

SUCCESSOR

The number which comes immediately after a particular number is called its successor.  The successor of a whole number is the number obtained by adding 1 to it.  Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

You are renting some tables for a party and have to choose between two different rental companies. The first charges $15 per table. The second charges $40 plus $11 per table. Based on this information , the second company is cheaper if you rent more than _____ tables.

Answers

Answer:

10

Step-by-step explanation:

15x = 40 + 11x

4x = 40

x = 10

10 tables they would cost the same, so more than 10 tables would make the second company cheaper

Solve the system algebraically. -6x+3y=27 -5x-3y=-16

Answers

Answer:

A) -6x+3y = 27

B) -5x-3y = -16 We add the 2 equations

-11x = 11

x = -1

Putting 1 into equation B)

5 -3y = -16

-3y = -21

y = 7

Step-by-step explanation:

Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.

Answers

Answer:

she'll have $9800

Step-by-step explanation:

35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)

1400 times 7 (how many months) is 9800

Jacqui have earned $9800 after she’s worked 7 months.

What is the unitary method?

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

Given that, Jacqui makes $35 an hour working as an accounting assistant.

She works 40 hours each month.

Here, number of hours she worked in 7 months

= 40×7

= 280 hours

Total money = 280×35

= $9800

Therefore, Jacqui have earned $9800 after she’s worked 7 months.

To learn more about the unitary method visit:

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In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only . What is the number of the students who were there altogether ( universal set)

Answers

Answer:

23 students

Step-by-step explanation:

In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.

Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.

Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4

Those that read maths and physics only = 12 - 4 - 4 - 1 = 3

Those that read physics only = 11 - 3 - 4 - 3 = 1

The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$ 14

Step-by-step explanation:

$ 40   --- 100%

$ x    --- 35%

x = 40*35/100 = 14

Plane V and Plane J intersect at which of the following?

Answers

they intesect at line a

help please, i will mark brainliest

Answers

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle, and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1

Answers

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]

Now:

[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]

Using Law of Sines

[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

Answer:

it is a

∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

give the other dude brainliest he is correct

Which multiplication expression is equal to 2/3 ÷ 1/2

Answers

2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short

-Peter

Answer:

2*2/3 = 4/3

Step-by-step explanation:

2*2/3 = 4/3

Brainliest? Use the elimination method to solve the system of equations.

Answers

Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answers

Answer:

(1,1)

This is the answer

Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z

Answers

Answer: Angle w and angle z should equal 92° to prove that r║s

Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.

Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.

If the two lines r and s are parallel, then it means;

(1) Angle 92 is equal to angle z (opposite angles are equal)

(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)

(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)

(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)

Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.

Answer:

Its W i took the test and got a 100

Find the quotient/correct answer

Answers

Answer & Step-by-step explanation:

In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.

We are asked to find the quotient of 9⁵ ÷ 9⁵.

When a number is divided by itself, then the answer is always going to be 1.

So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.

Which of the following are linear measurements?

A) Length and width
B) Depth and height
C) Diameters, clearance, end play, and thickness
D) All of the above

Answers

It is the answer B.

Answer:

a. length and width

Step-by-step explanation:

option a is correct answer

Please help I’m stuck I would really appreciate it if you could help me in geometry <3

Answers

c will prove that b is parallel

Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can

Answers

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

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