En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?

Answers

Answer 1

Respuesta:

6 cm

Explicación paso a paso:

Paso 1: Información provista

Longitud de la hipotenusa (h): 10 cm

Longitud del cateto 1 (c₁): 8 cm

Paso 2: Calcular la longitud del cateto 2 (c₂)

Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.

h² = c₁² + c₂²

c₂² = h² - c₁²

c₂ = √(h² - c₁²)

c₂ = √((10 cm)² - (8 cm)²) = 6 cm


Related Questions

Vani signed up for a streaming music service that costs $12 per month. The service
allows Vani to listen to unlimited music, but if she wants to download
offline listening, the service charges $1.25 per song. How much total money would
Vani have to pay in a month in which she downloaded 30 songs? How much would
she have to pay if she downloaded s songs?

Answers

Answer:

49.5 dollars first part and y=12+1.25x second part

Step-by-step explanation:

( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

The probability of winning a game is 0.37, and a tie is not possible. The probability of losing the game is
A. 0.37
B. 0.50
C. 0.63
D. unable to be determined
Help me plssss

Answers

Answer:

C

Step-by-step explanation:

Because there are only two outcomes (winning or losing) this means that

P(winning)+P(losing)=1

if we knowing that P(winning)=.37 we can write

.37+P(losing)=1

1-.37=P(losing)

.63=P(losing)

In right triangle ABC, sin M = cos 61. If 0

Answers

Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]

Given:

In a right triangle ABC,

[tex]\sin M=\cos 61^\circ[/tex]

To find:

The value of M.

Solution:

We have,

[tex]\sin M=\cos 61^\circ[/tex]

It can be rewritten as:

[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]

[tex]\sin M=\sin 29^\circ[/tex]                   [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]

On comparing both sides, we get

[tex]M=29^\circ[/tex]

Therefore, the value of M is 29 degrees.

what is the average rate of change for the quadratic function for the interval from x = 3 to = 5?

Answers

Answer:

8x.

Step-by-step explanation:

coordinates: (3,10) (5,26)

use slope formula (y2 - y1/x2-x1)

26-10/5-3

16/2

= 8

If the terminal point of ø is (1,0), what is tan ø?

Answers

Given:

The terminal point of [tex]\phi[/tex] is (1,0).

To find:

The value of [tex]\tan\phi[/tex].

Solution:

If the terminal point of [tex]\theta [/tex] is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that the terminal point of [tex]\phi[/tex] is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

[tex]\tan \phi=\dfrac{0}{1}[/tex]

[tex]\tan \phi=0[/tex]

Therefore, the value of [tex]\tan \phi[/tex] is 0.

I need help with this

Answers

Answer:

Step-by-step explanation:

the given equation is in the form of quadratic formula i.e.ax^2+bx+c=0.

So ,here a=-1 ,b=-6 and c=-9

b^2=(-6)^2

=36

4ac=4*(-1)*(-9)

=4*9

=36

b^2-4ac=36-36

=0

number of solutions =1

769 ÷ 30 in standard algorithm
plz i need asap

Answers

Answer:

it equal 25 and the remainder is 19. :)

Answer:

Step-by-step explanation:

exact form

769/30

decimal form

25.63

mixed number formed

25 19/30

if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?

Answers

Answer:

72

Step-by-step explanation:

1 stamp costs 0.36 cents

Then, 200 post cards will cost 0.36 × 200 = 72

Answer:

$72 dollars

Step-by-step explanation:

200 x 0.36 = 72

The diagram shows the shape of a plot of land that Maria will use for her garden.

Quadrilateral F G H J is shown. Sides G H and F J are parallel. The length of F G is 30 feet, the length of G H is 24 feet, and the length of H J is 24 feet. Angles H and J are right angles.

She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ?

18 feet
30 feet
36 feet

Answers

Answer:

42 feet

Step-by-step explanation:

edge

Answer:

The answer is D

Step-by-step explanation:

42 feet

How many families in Oats Township have two or more cars?
100
4
1
2
400
200

Answers

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

On a coordinate plane, point B is at (1, negative 1). Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3? (1, –1) (3, –3) (–2, 2) (–6, 6)

Answers

Answer:

(3,-3)

Step-by-step explanation:

If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)

Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)

Hence the required coordinate will be (3,-3)

Answer:

b 3 -3

Step-by-step explanation:

have a good day

2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles

Answers

Answer:

2

Step-by-step explanation:

Graph y= -x2 - 1. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

A. (–1, 0); minimum

B. (0, –1); maximum

C. (0, –1); minimum

D. (–1, 0); maximum

Answers

Answer:

B. (0, –1); maximum

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , − 1 )

Focus:  

( 0 , − 5 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Use the formula  

x

=

b

2

a

to find the maximum and minimum.

( 0 , − 1 )

Maria tutors history. For each hour that she tutors, she earns 20 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E=20h
How much does Maria earn if she tutors for 5 hours?

Answers

Answer:

Maria earns 100 dollars

E=100

Step-by-step explanation:

if E=20h and they want to know how much Maria will make in 5 hours substitute the h for 5. 20 x 5 =100

E=100

Answer:

100

Step-by-step explanation:

The equation is E=20h

E is the amount she earns.

20 is the amount of money she earns per hour.

h is the amount of hours she worked.

She worked 5 hours. h represents hours so plug in 5 where h is in the equation.

E=20h

E=20(5)

E= 20×5

E=100

PLZ HELP WILL GIVE BRAINLIEST
A company wants to provide better customer service to all of its 2000 clients. The company needs to create a sample of clients to survey.

How should the company select its sample of clients? Select two that apply.

The company should choose the first 50 clients that volunteer to take the survey.
The company should have a computer randomly generate a list of 200 clients to survey.
The company should survey every 5th client that makes an appointment.
Every employee in the company should recommend 1 client to survey.

Answers

Answer:

the company should survey every 5th client that makes an appointment.

the company should have a computer randomly generate a list of 200 clients to survey.

Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate

Answers

Answer:

Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2

so the radius times radius times 3.14

Complete the following statements using the given histogram. The data in the histogram is . Anabelle was absent on the day of the test and had to make it up the following week. She scored a 60, and her score should be added to bin . The total number of students who scored less than a 70 on the day of the test is .

Answers

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

what is an angle formed by

Answers

Answer:

An angles is formed by 2 rays sharing the same endpoint which is called the vertex.

Answer:

an angle is formed by two rays that intersect or share the same endpoint.

line is defined by the equation 2 x + y = 4. Which shows the graph of this line?

Answers

Using the equation 2x + y = 4, we get the following graph.

help help help help help help help

Answers

Answer:

D I believe

Step-by-step explanation:

I may not be correct, but i hope this helps!

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

A box contains 6 black marbles and 4 white marbles. What is the probability of selecting a black marble at random from the box?

Answers

Answer:

3/5

Step-by-step explanation:

6 black marbles and 4 white marbles.= 10 marbles

P( black marble) = number of black marbles / total marbles

                            =6/10 = 3/5

Answer:

6/4 or 1 1/2

Step-by-step explanation:

because there is 6 black marbles and 4 white marbles

Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?

Answers

Answer:

.........................

Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8

Answers

Answer:

r = 4

a8 = 114,688

Step-by-step explanation:

a1=7

a11 = 7340032

a11 = a1*r^10

7340032 = 7 * r^10

7340032 = 7r^10

r^10 = 7340032/7

r^10 = 1,048,576

Find the 10th root of both sides

10√r^10 = 10√1,048,576

r = 4

a8 = a1 * r^7

= 7 * 4^7

= 7 * 16,384

= 114,688

a8 = 114,688

Type the correct answer in the box. Use numerals instead of words. what value of x satisfies this equation? log(2x)=2

Answers

Answer:

Espero te sirva

Step-by-step explanation:

Suerte *******

What would be the volume of the pyramid? Little help please

Answers

Answer:

36

Step-by-step explanation:

The answer is 36, I did the work

Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions, or simplified radical expressions.

Answers

Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

Which statement describes why the system has two solutions?

Answers

The graph intersects on the x axis

y/7 + 2.1 = 9.1
solve for y.

Answers

Answer:

-79

Step-by-step explanation:

-9.1-2.1=-11.2

--79÷7=-11.2

Answer:

y = -78.4

Step-by-step explanation:

y/7+2.1-2.1=-9.1-2.1

y/7=-11.2

y/7*7=-11.2*7

y= -78.4

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