In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²​

Answers

Answer 1

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.


Related Questions

What is the length of side a? Round to the nearest tenth of an inch

Answers

Answer:

ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36

Answer: 36
Explanation: ^^^

Probability of rolling a factor of 4 on the first die

Answers

Answer:

should be like 1 out of 6 chances

Step-by-step explanation:

Solve by factoring.

m^2+6m+5=0

Answers

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

[tex]\sf m=-1,-5[/tex]

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m=-1[/tex]

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-5[/tex]

[tex]\sf m=-1,-5[/tex]

________________________________________

A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?

Answers

Answer:

4 months

Step-by-step explanation:

we take $300 ÷$75 which is per month

then we get 4 , which is our months

A polynomal of degree of 2 that has zeros -4 and 2 is

Answers

9514 1404 393

Answer:

  f(x) = x^2 +2x -8

Step-by-step explanation:

If p and q are zeros of a quadratic, its factored form is ...

  f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

  f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

  f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

  f(x) = x^2 +2x -8

What is the correct answer to this

Answers

Answer:

Perimeter = 9700 cm

Step-by-step explanation:

Dimensions of sides are;

12, 2x, 12, 5, 5, circumference of semi circle

Now, the semi circle has a radius of 7. Thus, the diameter = 7 × 2 = 14

We see that x is the diameter. Thus, x = 14

Thus; base of trapezium that is 2x = 2 × 14 = 28

Also, circumference of semi circle = 2πr = 2π × 7 = 44

Thus;

Perimeter of shape = 12 + 2(14) + 12 + 5 + 5 + 44

Perimeter = 97 m

Converting to cm, we multiply by 100 to get;

Perimeter = 97 × 100 cm

Perimeter = 9700 cm

Find the Area of this Composite Figure:
8 in
7 in
12 in

Answers

Answer:

132in²

Step-by-step explanation:

helppppp I really need help

Answers

The answer is b I’ve done this before it’s not really that easy lol but yea it’s b

Use this picture to name one pair of SUPPLEMENTARY angles

Answers

One pair of supplementary angles in the picture : Angle 1 and Angle 5

Hope this helps!

What is the area of the base?

Answers

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

So

[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]

So the area of the base is 24 in²

Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?

Answers

Answer:

Number of weeks= 3.63 weeks

Step-by-step explanation:

First, we need to determine the total amount to be saved:

Difference= 500 - 256

Difference= $254

Now, the number of weeks given the following formula:

Number of weeks= amount to be saved / savings per week

Number of weeks= 254 / 70

Number of weeks= 3.63 weeks

What is the length of point AC

Answers

the length of point AC is 13.67cm

I need help with this

Answers

Answer:

12x+24x+18 and 36x+24-6 can both be simplified into 36x+18, meaning the equation is an identity

If Amy bought 2 CDs for $14.00 each, a DVD for $24.99, and a video
game for $37.50, how much change would she get back from a $100 bill?

Answers

Answer: Change of $9.51

Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.

Answer:

9.51

Step-by-step explanation:

multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.

If the force is 2500N and the acceleration is 500m/s/s, calculate the mass

Answers

Answer:

5kg

Step-by-step explanation:

Here the given force is 2500N and

acceleration is 500m/s²

Now,

F = ma

m = F/a = 2500/500 = 5kg

Thus, The mass is 5kg

-TheUnknownScientist

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.



2(x−3)=10x−6−8x

1 solution

No Solution

Infinite Solutions

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

Simplify both sides and you will see they are equivalent meaning that it has infinite solutions

Find the area of the composite figure. Round your final answer to the tenth.

Answers

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

Find two consecutive odd numbers whose sum is 44.

Answers

Answer:

21 & 23

Hope that helps!

Step-by-step explanation:

What is the prime factorization of 110?

Answers

Answer:

The prime factors of 110 are 2, 5, and 11.

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

Answer:

2 x 5 x 11 = 110.

Step-by-step explanation:

The prime factors of 110 are 2, 5, and 11.

-Factors of 110: 1, 2, 5, 10, 11, 22, 55 and 110

-Prime Factorization of 110: 110 = 2 × 5 × 11

1 × 110 = 110

2 × 55 = 110  

5 × 22 = 110

10 × 11 = 110

11 × 10 = 110

22 × 5 = 110

55 × 2 = 110

110 × 1 = 110

Dada la recta r espacio dos puntos espacio fracción numerador x menos 1 entre denominador 1 fin fracción igual fracción numerador y menos 5 entre denominador menos 3 fin fracción, halla una recta s, paralela a r, y una recta t, perpendicular a r, ambas que pasen por el punto A (-3,1).

Answers

Answer:

creo que si

Step-by-step explanation:

primero hacemos lo primero

y luego lo segundo

Me pueden ayudar? ☹ PROPIEDADES DE LA SUSTRACCIÓN DE NÚMEROS NATURALES: LA RESTA NO CUMPLE CON NINGUNA DE LAS CUATRO PROPIEDADES ENUMERADAS (agrega los contraejemplos) NO ES CERRADA EN EL CONJUNTO DE LOS NATURALES: porque... NO ES CONMUTATIVA: porque... NO ES ASOCIATIVA: porque... NO TIENE ELEMENTO NEUTRO: porque...

Answers

Answer:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

[tex]5 - 2 = 3[/tex]

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

[tex](6-4) - 1 = 2 - 1 = 1[/tex]

[tex]6 -(4-1) = 6-3 = 3[/tex]

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].

Step-by-step explanation:

(i) La sustracción de números naturales no es cerrada, puesto que no existe el resultado cuando el minuendo en menor que el sustraendo, es decir:

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(ii) La sustracción de números naturales no es conmutativa, pues al cambiar las posiciones entre minuendo y sustraendo, se pasar de un resultado contenido en [tex]\mathbb{N}[/tex] a uno no contenido en ese cuerpo. Es decir, el resultado cambia. Es decir:

[tex]5 - 2 = 3[/tex]

[tex]2 - 5 = -3, -3\notin \mathbb{N}[/tex]

(iii) La sustracción de números naturales no asociativa, pues al cambiar la posición de los paréntesis, puede llevar a un resultado distinto o inexistente en [tex]\mathbb{N}[/tex] debido a que el signo afecta a todo lo que está adentro del paréntesis. Es decir:

[tex](6-4) - 1 = 2 - 1 = 1[/tex]

[tex]6 -(4-1) = 6-3 = 3[/tex]

(iv) No tiene elemento neutro pues el neutro aditivo, léase 0, no pertenece a [tex]\mathbb{N}[/tex].

Assume that BC is tangent to circle A. Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Δ ABC is right with ∠ C = 90° ( angle between tangent and radius )

Using Pythagoras' identity in the right triangle

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 ( to the nearest tenth )

Dani owns a small business. There was a profit of $16 on Thursday and a loss of $10 on friday. On saturday there was a loss of $14 and on sunday there was a profit of $25. Find the total loss or profit in the four days.
NO LINKS!

Answers

Answer:

There was profit of $17 think

Step-by-step explanation:

25+16=41

14+10=24

41-24=17

They took down the other question so we're gonna come here ok

What is the factored form of 8y2 + 12y?
a 4 (4y2 + 8y)
b 8y(y + 4)
c 4y (2y + 3)
d 8y (y2 + 4)

Answers

Answer:

Hi! The answer to your questions is C. 4y (2y+3)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A circle has a radius of 11 meters. What is the area of the circle?

Answers

Answer:

A≈380.13 m²

Step-by-step explanation:

looked it up

Answer:

A= 380.13 m²

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

A= [tex]\pi[/tex]x[tex]11^{2}[/tex]

A= 380.13

2.
A garden is 20 feet long by 10 feet wide. The length and the width of the garden will
each be increased by the same number of feet. This expression represents the
perimeter of the larger garden. please first answer gets brainly thing

Answers

Answer:

200

Step-by-step explanation:

A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height
of 8 crn, and width of 35 mm. What is the approximate density of the lead? Round to the
nearest tenth

Answers

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.

Answers

Answer:

New price = 90 dollars

Price is reduced 25% from 120 so,

120 - 30 = 90

Amount of discount = 30

The graph of f(x) = x2 is shown
Use the parabola tool to graph g(x)
g(x) = (x + 1)2 – 2
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola

Answers

Answer:

(1,2) is your vertex and (2,3) is your second point

Step-by-step explanation:

Answer:

(0,-1) and (-1,-2)

Step-by-step explanation:
i got it right on the quiz

Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?

Answers

Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

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