Stiind ca triunghiurile sunt asemenea si c= 5 calculati lungimea laturilor indicate
a=?
b=?
c=?

Stiind Ca Triunghiurile Sunt Asemenea Si C= 5 Calculati Lungimea Laturilor Indicate A=?b=?c=?

Answers

Answer 1

Answer:

[tex] a = 8 \\ b = 10 \\ c = 5[/tex]

Step-by-step explanation:

[tex]{c}^{2} = {3}^{2} + {4}^{2} \\ c = 5 \\ \frac{3}{6} = \frac{4}{a} = \frac{5}{b} \\ a = 8 \: \: \: \: \: b = 10[/tex]

Answer 2

Answer:

[tex]a=8\\b=10\\c=5[/tex]

Step-by-step explanation:

In the given image, you can observe we have two right triangles.

Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.

If the triangles are similar, we can define the following proportion between sides.

[tex]\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8[/tex]

Now we use the Pythagorean's Theorem to find each hypothenuse.

[tex]c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5[/tex]

[tex]b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10[/tex]

Therefore, the missing sides are

[tex]a=8\\b=10\\c=5[/tex]


Related Questions

a rectangle is 5 cm and other side is 3cm what is the perimeter of the rectangle? also what is the are of the same rectangle?

Answers

Answer:

Perimeter: 16 centimeters

Area: 15 square centimeters

I hope this helps! :)

Answer:

Step-by-step explanation:

so, the perimeter is 5+5+3+3 which is 16

and  the area is 5 x 3 so it is 15

Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre's notebooks contain?


i. y = 60 ÷5
ii.y = 5 x 60
iii. y/5 =60
iv. 5y = 60

Answers

Answer:

Step-by-step explanation:

i. y = 60 ÷5

The correct expression would be 5y = 60, so 12  sheets of paper do Andre's notebooks contain.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Each notebook contains 60 sheets of paper. Andre has 5 notebooks.

We need to find the number of sheets of paper do Andre's notebooks contain.

Therefore, using unitary method

60 sheets of paper = 5 notebooks.

y  sheets of paper = 5y/ 60 notebooks.

= 60/5 = 12

The answer is 5y = 60

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Is 2/6 equivalent to 20%

Answers

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100   %

= 1/3 × 100   %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

Hong Kong’s tallest building international is 88 stories tall.
the former Sears Tower is eight stories taller than the Empire State Building. if all the buildings were stacked on top of each other the combine Heights would have 300 stories. how many stories does the Sears Tower have?

Answers

Sears Tower is 114 stories tall

Final answer:

The Sears Tower has 110 stories. We found this by setting up an equation with the given information and solving for the number of stories in the Sears Tower.

Explanation:

To find out how many stories the Sears Tower has, we need to set up an equation using the information provided.

We know that Hong Kong's tallest building (International) is 88 stories tall, and the combined height of all the buildings stacked on top of each other is 300 stories. Let's assign the variable S to represent the number of stories in the Sears Tower and E to represent the number of stories in the Empire State Building. According to the question, the Sears Tower is eight stories taller than the Empire State Building, so we can express this relationship as S = E + 8.

Now, let's add up the stories of all three buildings: Hong Kong's International + Sears Tower + Empire State Building = 300. Substituting the given information and our variable S, we get the equation 88 + S + (S - 8) = 300.

Let's solve this equation:

Combine like terms: 88 + 2S - 8 = 300.Simplify: 2S + 80 = 300.Subtract 80 from both sides: 2S = 220.Divide both sides by 2: S = 110.

Therefore, the Sears Tower has 110 stories.

evaluate expression 1/2a-5b when a= -12 and b= -3

Answers

Answer: 9

Step-by-step explanation:

1/2 * -12= -6

5*-3= -15

-15- (-6)=  -9

What is the sum of the series?

Answers

The sum of the series is -4.

Step-by-step explanation:

Step 1:

The symbol Σ is called sigma and it is used to sum all the values in it.

The lower limit is 3 while the upper limit is 6.

So for the equation 2k - 10, we substitute the values of k as 3, 4, 5, and 6 and then add all these values up.

Step 2:

Now we the values of k are substituted and values are determined.

When [tex]k = 3, 2k -10 = 2(3)-10 =6 -10 =-4,[/tex]

When [tex]k = 4, 2k -10 = 2(8)-10 =8 -10 =-2,[/tex]

When [tex]k = 5, 2k -10 = 2(5)-10 =10 -10 =0,[/tex]

When [tex]k = 6, 2k -10 = 2(6)-10 =12 -10 =2.[/tex]

Step 3:

Σ[tex](2k-10)[/tex] between k = 3 and k = 6 is equal to

[tex]-4 -2 +0 + 2 = -6 + 2 = -4.[/tex]

So the sum of the given series is -4.

The sum of two numbers is 8 and the difference is 2

Answers

Answer: 2

x+x=8-2

2x=4

Divide:

4/2=2

x=2

Answer: 5 and 3

Step-by-step explanation:

From the question,

Let the first number be x

And the second be y

x + y= 8

x- y= 2

Add the equations

x + y + x - y = 8 + 2

2x= 10

x=5

Slot the value of x into any of the equations: x +y = 8

5+ y= 8

y= 8 - 5

y = 3

2,156 to the nearest thousand

Answers

Answer:

2000

Step-by-step explanation:

2000 is closer than 3000.

What is the length of the rectangle?

Answers

Step-by-step explanation:

[tex]area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.[/tex]

The length of a rectangle is 10 yards, and its width is 6 yards. The rectangle's area is 60 square yards. The length is 4 yards more than the width.

Let's call the width of the rectangle "W" in yards. According to the information given, the length of the rectangle is 4 more than the width, so the length can be represented as "W + 4" yards.

The formula for the area (A) of a rectangle is:

A = Length × Width

In this case, we know that the area is 60 square yards, so we can set up the equation:

60 = (W + 4) × W

Now, we can solve for the width (W). First, expand the equation:

60 = W^2 + 4W

Next, rearrange the equation to set it equal to zero:

W^2 + 4W - 60 = 0

Now, we can solve this quadratic equation for W. You can do this by factoring, completing the square, or using the quadratic formula. In this case, I'll use the quadratic formula:

W = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1, b = 4, and c = -60. Plug these values into the formula:

W = (-4 ± √(4^2 - 4 * 1 * (-60))) / (2 * 1)

W = (-4 ± √(16 + 240)) / 2

W = (-4 ± √256) / 2

W = (-4 ± 16) / 2

Now, you have two potential solutions for W:

1. W = (-4 + 16) / 2 = 12/2 = 6

2. W = (-4 - 16) / 2 = -20/2 = -10

Since the width of the rectangle cannot be negative, we take the positive value, which is W = 6 yards.

Now that we know the width, we can find the length, which is W + 4:

Length = 6 + 4 = 10 yards

So, the length of the rectangle is 10 yards.

Learn more about length of a rectangle here:

https://brainly.com/question/25292087

#SPJ2

Simplify the expression.
38

Answers

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{If\ you're\ trying\ to\ find\ out\ what\ gives\ you\ 38\ then\ let's solve\ for\ it.}[/tex]

[tex]\large\text{38\ has\ FOUR \ factors: \ 1 , 2 , 19 , 28}[/tex]

[tex]\mathsf{So, now\ that\ we\ have\ the\ factors\ let's\ answer\ the\ question!}[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{2\times19}}}\mathsf{\ =38 }[/tex]   [tex]\checkmark[/tex]

[tex]\bullet\ \ \mathsf{\bf{\underline{1\times38}}}\mathsf{\ \ =30}[/tex]  [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{19\times2}}}\mathsf{\ = 38}[/tex]     [tex]\checkmark[/tex]

[tex]\bullet \ \mathsf{\bf{\underline{38\times1}}}\mathsf{ \ = 38}[/tex]    [tex]\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}\huge\text{\dag}[/tex]

In two to three sentences, explain how you would factor the following expression:
45y^2z+36yz^2+18yz

Answers

Answer:

9yz(5y+4z+2)

Step-by-step explanation:

I would first factor the whole polynomial by 9 since that's the LCM of the coefficients, giving us 9(5y^2z+4yz^2+2yz)

Then I would factor out yz as that's the LCM of the terms, giving us:

9yz(5y+4z+2)

And that's our answer.

please help answer this​

Answers

Answer: x=46

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

There are 180 degrees in a straight angle. Take 134 and subtract it from 180 to get your answer of 46 degrees.


1. Three more than the product of a number and 4 is 15.
Find the number

Answers

Answer:

3

Step-by-step explanation:

Three more than the product of a number and 4 is 15.

3 + (x * 4) = 15

Multiply x by 4

3 + 4x = 15

Subtract 3 from both sides of the equation

4x = 12

Divide both sides of the equation by 4

x = 3

3

Hope this helps :)

Answer:

3

Step-by-step explanation:

Let the number be A

3 more than the product of A and 4 is 15

That’s

3 + (A x 4 ) = 15

3 + 4A = 15

Subtract 3 from both sides

3 - 3 + 4A = 15 - 3

4A = 12

Divide both sides by 4

A = 12/4

A = 3

What is the sum of the first five positive integers?​

Answers

Answer:

15

Step-by-step explanation:

1+2+3+4+5 = 15

What is the x and y intercept of this equation 12x+4y=24

Answers

Answer:

y = 6,x = 2

Step-by-step explanation:

Answer:y = 6,x = 2

Step-by-step explanation:Geometric figure: Straight Line

 Slope = -6.000/2.000 = -3.000

 x-intercept = 6/3 = 2

 y-intercept = 6/1 = 6.00000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    12*x+4*y-(24)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  12x + 4y - 24  =   4 • (3x + y - 6)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   3x+y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x+y-6  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y= 6.00000

 y-intercept = 6/1  =  6.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

 x-intercept = 6/3  =  2

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 6.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -6.000/2.000 = -3.000

Geometric figure: Straight Line

 Slope = -6.000/2.000 = -3.000

 x-intercept = 6/3 = 2

 y-intercept = 6/1 = 6.00000

Mary bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges?

Answers

Answer:

Laptop= $3250 Desktop = $2900

Step-by-step explanation:

L= D+350

7%D+6%I = 398

A table is cut and placed along a wall. After its cut, the edge along the wall is 6 feet. What is the area of the table after it's cut in half?
Please help! I'm confused

Answers

Answer:

18 square feet

Step-by-step explanation:

the table was most likely 6 by 6 before getting cut. that is an area of 36 you could half that making 18 or make one of the 6s a 3 so it is 3 by 6 after the table is cut.

How to do this problem -40=12x+8

Answers

First subtract 8 from 8 and -40 because it is even.

Then divide -48 by 12, which equals -4.

Hope this helped! If it didn't, tell me what went wrong or confused you.

Answer:

The answer is x=-4

Step-by-step explanation:

-40=12x+8

-8          -8

-48=12x

-48/12=x

-4=x

1/(Sec x Tanx ) = Sec x + tan x

Answers

Answer:

Step-by-step explanation:

to prove that 1/ (sec x - tan x) = sec x + tan x

from the right hand side sec x + tan x =

from trigonometry basics  

sec x = 1/ cos x

tan x = sin x/ cos x

so, sec x + tan x =  1/ cosx + sinx/ cosx

finding the lcm

= (1+ sinx)/cos x

= (1 + sinx) cosx/ cos²x

= (1 + sinx) cosx/( 1- sinx) ( 1 + sinx)

( 1 + sinx) cancels the (1- sinx)  at the denominator

so we have;

= cos x/ 1 -sinx

1/1/cosx - sinx/cosx

remember that 1/ cos x = sec x

and also sinx/cos x = tan x

so therefore we have 1/ sec x - tanx

since LHS = RHS  then we can say that 1 / sec x - tan x = sec x + tan x.

a subtraction equation with one variable that has a solution of 2/3

Answers

Answer:

-4 +3x = -2

Step-by-step explanation:

the equation will give x = 2/3

3x = -2 +4

3x = 2

x = 2/3

brainliest please :)

When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0

To create a subtraction equation with one variable that has a solution of  2/3 , follow these steps:

Step 1: Define a variable. Let's use x as the variable.

Step 2: Formulate the equation using subtraction. The equation should represent a situation where when 2/3  is subtracted from a number, the result is zero.

Mathematically, the equation can be written as:

x - (2/3) =0

Step 3: To verify that x - (2/3) is the solution, solve the equation by isolating the variable x.

x=2/3

This equation represents a subtraction scenario where 2/3 is subtracted from x resulting in zero. When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0

Complete Question:

Write the equations described below.a subtraction equation with one variable that has a solution of 2/3.

answer needed asap please

Answers

Answer:  [tex]Total\ number\ of\ people=70[/tex]

Step-by-step explanation:

For this exercise let "m" represents the total number of men at the meeting.

You know that the total number of people at the meeting represents de 100% of the people there.

According to the information given in the exercise, the number of men in the meeting representes the 40% of the people. So:

[tex]100\%-40\%=60\%[/tex]

As you can notice, 60% of the perople are women.

Then,  knowing that the number of women is 42, you can set up the following proportion:

[tex]\frac{42}{60}=\frac{m}{40}[/tex]

Solve for "m" in orde to find its value:

[tex](40)(\frac{42}{60})=m\\\\m=28[/tex]

Therefore, the total number of people at the meeting  is:

[tex]Total\ number\ of\ people=42+28=70[/tex]

how do I solve system of equations elimination method​

Answers

Answer:

Step-by-step explanation:

Let's say we have 2x-y=4, and 4x-3=5y. So, elimination is basically what the name is. You eliminate one variable by subtracting and then plug in that variable to find the other one. So,

4x-3=5y

2x-y=4

Multiply 2x-y=4 by 2, to make it equal to the x value in the top.

4x-3=5y

-

4x-2y=8

Now, you can subtract the equations. You Eliminate the 4x, then you get

-3-2y=5y-8

Then you solve for y

y=7/5

then you plug y into the equation

4x-3 = (7/5)5

4x-3=7

4x=10

x=5/2

And you have your solution ----> (5/2, 7/5) is where the lines intersect.

Hope that helps!

Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three times the length. Who is correct? Explain.

Answers

Answer:

Sam

Step-by-step explanation:

Sam: Longest ski trail >3x    x = shortest ski trail

Eli: Longest ski train< 3x

Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.

whats is the value of x?

Enter your answer in the box

x = __

Answers

39,

put it in the translater to Spanish:

Los ángulos internos de un triángulo son iguales a 180•

Answer: X= 39

please mark brainliest

Step-by-step explanation:

102+39= 141

180-141 =39

it has to equal to 180 degrees

Dalton loses weight at a rate of 4% per week. the following function represents his weight loss after x weeks. W(x)=2(1.04)^x. Write the expression that reveals his approximate rate of weight loss per day.

Answers

Answer (1.04x=2. X=30103/.017033= 17.673

Answer:

Step-by-step explanation:

(1.006)^7x

How do you know that the value of D will decrease when the value of N increases?

Answers

Explanation:

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

As N increases, then D decreases

So this is an inverse relationship. We can write this as:

[tex]D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}[/tex]

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

Which of the following are equivalent to 104? Select all that apply.
0.0001
0.0001
104
1.1.1.1
10 10 10 10
10. 10.10.10

Answers

104 is the answer to your problem

3. Convert 5.2 gallons to
cups

Answers

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

9. If the temperature changes by 100 K, by how much does it change in °C?
2730C
37°C
100°C
by
0°C

Answers

Answer:

100 degrees C.

Step-by-step explanation:

100 degrees C

The 'size' of the unit is the same.

0 degrees K to 100 degrees K is equivalent to:

-273 degrees C to - 173 degrees C.

Write an expression to represent
22 less than x

Answers

Answer:

x-22

Step-by-step explanation:

The expression representing the value 22 less than x is x - 22.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given statement is that 22 is less than x. The expression will be written as below,

E = 22 less than x

E = x - 22

Therefore, the expression representing the value 22 less than x is x - 22.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

Other Questions
A small town in West Texas declares that only professed Christians can work for the city or serve in city government. Would this action be constitutional What are the five parts of a personal letter "IN ORDER"? What are common tectonic settings associated with volcanic activity? If babies are constantly placed on their backs without any restrictions, what will happen to their development?A. they suffer from weakness in certain muscle groups.B. they learn to roll over, crawl, and eventually walk on their own.c. their ability to roll over, crawl, and eventually walk is hindered.D. they suffer brain damage from the pressure on the back of their head. To make your business messages more effective, revise for vigor and directness. You can strengthen your writing by unburying verbs, controlling exuberance, and choosing precise words. Which of the sentences contain buried verbs? Check all that apply. a.The entire team prepared the proposal Paul submitted on Wednesday. b.Please analyze last month's sales trends. d.Give consideration to the economic climate. c.The new filing system will increase efficiency. Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket? Which supreme court justice was known as the little mans lawyer Suppose the price level reflects the number of dollars needed to buy a basket of goods containing one cup of tea, one biscuit, and one magazine. In year one, the basket costs $8.00.In year two, the price of the same basket is $7.00. From year one to year two, there is ____ at an annual rate of ____. In year one, $40.00 will buy ____ baskets, and in year two, $40.00 will buy ____ baskets. This example illustrates that, as the price level falls, the value of money ____. Is 10xyz^3 a monomial The soccer team is selling tubs of cookie dough and brownie mix. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Megan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix? Solve for ah = a/4 During which substage of Piaget's sensorimotor stage does the child begin to act upon the outside world, a process by which infants seek to repeat enjoyable events in their environments if they happen to produce them through chance activities? Explain in detail the differences & similarities between Fission & Fusion Each element on the periodic table is represented by a: How does Angiogenesis lead to cancer cells? Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference? point (k, -3) lies on the line whose equation is x-2y=-2. What is the value of k? An airplane needs to reach a velocity of 199.0 km/h to take off. On a 2000-m runway, what is the minimum acceleration necessary for the plane to take flight? Assume the plane begins at rest at one end of the runway. The National Football League controls the performance-based pay for professional football players. For example, Tom Brady received $14,102.25. His annual salary is $20 million, so he may not have noticed when this hit his checking account. Since the way team members function as a group is as important to the team's success as the individual effort, the NFL performance payThe National Football League controls the performance-based pay for professional football players. For example, Tom Brady received $14,102.25. His annual salary is $20 million, so he may not have noticed when this hit his checking account. Since the way team members function as a group is as important to the team's success as the individual effort, the NFL performance pay:________. Methods for preventing/overcoming group conflict include all EXCEPT: