1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Strike441 [17]
2 years ago
11

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (

C(15,0). The origin is the center of dilation. What is the scale factor of the dilation
Mathematics
1 answer:
dezoksy [38]2 years ago
4 0

The required scale factor for the dialed triangle is given by SF= 6.28

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0).

<h3>What is scale factor?</h3>

The scale factor is defined as the ratio of modified change in length to the original length.

Since, the height and base of the triangle is y coordinate of B and x coordinate of c is given by 4, 6
Area of triangle =1/2(base x height)
                         = 1/2 (4 x 6)
                         =   4.8
Similarly, for dilated triangle
Area of dilated triangle =  30

Now, scale factor(SF) = area of dilated triangle \ area of triangle
SF = 30/4.8
SF = 6.25

Thus, the required scale factor is SF = 6.25

 

Learn more about line Scale factor:

brainly.com/question/22312172

#SPJ1

You might be interested in
I need help solving it
blagie [28]
X2-64=0
x2=64

x=8 because when multiplied by itself, and plugged back in, it works
8 0
3 years ago
Read 2 more answers
Are the graphs of each pair of equations parallel, perpendicular,or neither? PLEASE I NEED YOUR HELP
Nata [24]

Answer:

there is hint for u in the book darling

you can refer example 4 in the same book

7 0
3 years ago
Select all the correct answers.
Phantasy [73]

Answer:

a = 6, b = 8, and c = 10.

Step-by-step explanation:

You can easily use the Pythagorean Theorem to solve all of these.

a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.

a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.

a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.

a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.

The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Cara's muffin recipe calls for 1 1/4 cups of flour for the muffins and 3/4 cup of flour for the topping. If she makes 1/2 of the
olga55 [171]

Answer: 3/8

Step-by-step explanation:

4 0
2 years ago
B. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........
nataly862011 [7]

The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).

<h3>What is the sequence of AP arithmetic progression?</h3>

In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.

We'd come across a few key concepts in AP that had been labeled as:

  • The first term (a)
  • Common difference (d)
  • Term nth (an)
  • The total of first n terms (Sn)

As shown below, the AP can also be referred to in terms of common differences.

  • The following is the procedure for evaluating an AP's n-th term:  an = a + (n − 1) × d
  • The arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].
  • Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ......      = an - an-1.

Now, the given sequence is; 80, _, _, 125.

The series comprises of four given terms.

Let the first term be 'a₁' = 180.

The second term be 'a₂'.

The third term be 'a₃'.

And, the fourth term is 'a₄' = 125.

Use the nth term formula to find the common difference 'd'.

n-th term:  an = a + (n − 1) × d

a₄ = a + (n - 1)d

125 = 80 + (4 - 1)d

45 = 3d

d = 15

Thus, the common difference is 15.

The second term is calculated as;

a₂ = a₁ + d

a₂ = 80 + 15

a₂ = 95.

The third term is estimated as;

a₃ = a₂ + d

a₃ = 95 = 15

a₃ = 110

Therefore, the 2nd and third term of an AP is computed as 95 and 110.

To know more about Arithmetic Sequence, here

brainly.com/question/24989563

#SPJ4

8 0
1 year ago
Other questions:
  • Simplify<br> 2/3 (12 – 21c)<br> Enter your answer in the
    14·2 answers
  • Find the surface area of the prisim
    14·1 answer
  • Describe the solution of g(x) shown in the graph.
    7·1 answer
  • What is the classification for this polynomial ? X^2y + 3x^3
    6·1 answer
  • A turtle walks 78 of a mile in 50 minutes. Determine the unit rate. How far does
    9·1 answer
  • Find each sum.<br> -51 +23=
    10·1 answer
  • HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.
    13·1 answer
  • Sofas being sold for $603 this is a 33% discount from the m what is the original price​
    6·1 answer
  • What is the prime factorasation of 96
    9·2 answers
  • I WILL GIVE BRAINLIEST! ONLY ANSWER IF YOU KNOW ITS CORRECT! (08.04 MC)Mia creates a box plot using 28, 34, 40, 24, 44, 49, and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!