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3 years ago

Can someone plzzzzzzzzzzzzzzzzzzzzzzzz help me

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

9514 1404 393

Answer:

C. 168°

Step-by-step explanation:

The exterior angle at any vertex of an n-gon will be ...

360°/n

So a 30-gon will have exterior angles of ...

360°/30 = 12°

The adjacent interior angle is supplementary to this, so is ...

180° -12° = 168°

_____

Using the reasonableness test

You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.

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a 16 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the

Lyrx [107]

1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and $y= \frac{16-4x}{6}$ .

2.
$A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18} \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}$ .

3. Find the derivative of the function A(x):
$A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}$ .

4. Solve the equation A'(x)=0:
$2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}$

5. Since $y= \frac{16-4x}{6}$ you have

$y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}$ .

Answer: the width of the rectangle is $\frac{24}{17}$

6 0

3 years ago

Which answer best completes this sentence?

Natasha_Volkova [10]

Answer:rise sharply

Step-by-step explanation:

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4 years ago

Is (1, 2) a solution to the equation y = 8x?

Rom4ik [11]

Answer:

no it is not

Step-by-step explanation:

8 × 1 does not equal 2

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3 years ago

How do u combine like terms ?

Kisachek [45]

We can use #11 as an ex.

7ab and 4 ab

So we combine 7 and 4 (multiply)

=28

Then combine "a". On both sides they are 2 a"s so it would be a^2 and same for b . b^2

Answer: 28a^2b^2.

hope it helps*

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4 years ago

HELPPPP!!!! Which model does the graph represent?

Sergeeva-Olga [200]

Answer:

C. y = Ae^(-(x-b)²/c)

Step-by-step explanation:

A is a model of exponential growth.

B is a model of exponential decay.

D is a "logistic function" model of growth in an environment of limited resources. It produces an "S" shaped curve.

The given bell-shaped curve can be described by the function of C, which decays either side of an axis of symmetry.

7 0

3 years ago