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3 years ago

Find the perimeter of the following shape, rounded to the nearest tenth:

Mathematics

2 answers:

givi [52]3 years ago

4 0

Answer: 17.9

Step-by-step explanation:

A (-3,5)

B (1,7)

C (3,3)

D (-1,1)

To find the perimeter, the distance between each point or the length of each side must be found, so we use the distance formula.

d(distance) = √(x₂-x₁)² + (y₂-y₁)²

So, substitute numbers into the formula...

d = √(1 - -3)² + (7 - 5)² = √4² + 2² = √16 + 4 = √20 = 4.4721359 = Line AB

Repeat the steps and you find tha each length equals the same and that it is a square, so multiply √20 by 4 and you get 17.888543

Or about 17.9

34kurt3 years ago

3 0

Through my research I found a question similar to this and found the right description matching answers: so we have to find the perimeter of this: ''Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 1, 7. Point C is at 3, 3. Point D is at negative 1, 1.''

Answer would be C) 17.9

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8x^3-8x=1<br> Solve for x

Anit [1.1K]

Step-by-step explanation:

Step-by-step explanation:

\begin{gathered} \frac{8x - 3}{3x} = 2 \\ 8x - 3 = 6x \\ 8x - 6x = 3 \\ 2x = 3 \\ x = \frac{3}{2} \end{gathered}

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2 years ago

Susanna used 2 3/8 cups of peaches and 1 2/8 cups of cherries to make a fruit cocktail. How many more cups of peaches than cherr

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3 years ago

Read 2 more answers

F(x) =x2+2x-3 g(x)=3x-14

Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

= 9x² - 84x + 196 + 6x - 28 - 3

= 9x² - 78x + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0

1 year ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$