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Nastasia [14]
3 years ago
8

Please Help! 10 points!

Mathematics
2 answers:
NeTakaya3 years ago
4 0

Answer:

D.

Step-by-step explanation:

Are the two triangles supposed to be similar? Because otherwise I don't see how you can do this. It's possible to have two different triangles of the same area but different perimeters, which means given a triangle, you could make two different triangles that have different perimeters yet both have an area 25 times greater than the original.  

If they're similar, then let b and h be the height of triangle A. then the base and height of triangle B are bx and hx for some unknown value of x, which means its area is (1/2)(bx)(hx) = (1/2)bh * x^2. To get this to be 25 times the area of A, (1/2)bh, just let x=5. This means the perimeter should be 5 times greater.

Julli [10]3 years ago
3 0

Part A)

<h3>Answer: 2.25</h3>

----------

You find this by squaring 1.5 to get (1.5)^2 = (1.5)*(1.5) = 2.25

Consider a rectangle that is 10 by 4, so its area is 40. Multiply each dimension by 1.5 and we get a 15 by 6 rectangle, so the new area is 90. Note how dividing 90 over 40 leads to 2.25, which is the proper area scale factor.

This example of using a rectangle can be extended to any other geometric shape.

===========================================

Part B)

<h3>Answer: 2</h3>

----------

Go in reverse of what happened in part A. Instead of squaring, we apply the square root. The square root of 4 is 2, so this is the scale factor between the perimeters.

Consider a rectangle that is 5 by 10, so it has area 50. Then consider another rectangle that is 10 by 20, with area 200. The jump from 50 to 200 has us multiply by 4, meaning the larger rectangle's area is four times larger.

Going from 5 to 10 is a jump of "times 2", so is the jump from 10 to 20. So each dimension has been multiplied by 2. Consequently, the old perimeter has been doubled to get the new one.

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Help me,,,,,,,,,thanks.......
Allisa [31]

Answer:

Your answer is D. 4/5 this is because of you had a whole pizza, and split it into five pieces, and somone takes 2 slices, there will be 3/5 of that pizza left, if they only took one, there would be 4/5, which is more pizza than a 3/5 of a pizza

Step-by-step explanation:

3 0
3 years ago
skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.
Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T        O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T       B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = \left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]

= a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] +b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] +c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]

therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

8 0
3 years ago
you are traveling on a bus at camp at a speed of 50mph. The number of miles traveled. N, after traveling t hours.
raketka [301]

i could tell you what n is if you tell me what t is

sorry not much help


8 0
3 years ago
Read 2 more answers
Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6
  2. Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6
  3. Combine like terms (constants):     f(x) = -2x² - 8x - 2
8 0
3 years ago
The volume of a prism with base B is 20 cubic centimeters. Find the area of the base of the height of the prism is 5 centimeters
marshall27 [118]

Answer:

C 12.5cm is the answer good luck

5 0
3 years ago
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