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lina2011 [118]
3 years ago
13

Find the sum of the measures of the interior angles of a convex polygon with 4 sides.

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

360∘

Step-by-step explanation:

(4−2) ⋅ 180 = 360

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PLZ HELP WITH THIS QUESTION!
Bad White [126]

Answer:

D

Step-by-step explanation:

Given the quadratic

d = - 16t² + 12t ← subtract d from both sides

- 16t² + 12t - d = 0 ← in standard form

with a = - 16, b = 12, c = - d

Use the quadratic formula to solve for t

t = ( - 12 ± \sqrt{12^2-(4(-16)(-d))}) / - 32

 = ( - 12 ± \sqrt{144-64d}) / - 32

 = ( - 12 ± \sqrt{16(9-4d)}) / - 32

 = ( - 12 ± 4\sqrt{9-4d}) / - 32

 = \frac{-12}{-32} ± \frac{4}{-32}\sqrt{9-4d}

 = \frac{3}{8} ± \frac{1}{8}\sqrt{9-4d}

 = \frac{3}{8} ± \frac{\sqrt{9-4d} }{8} → D

8 0
3 years ago
Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
3 years ago
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Two years ago, Paul bought $350 worth of stock in a cell phone company. Since then the value of his stock has been increasing at
zalisa [80]

Answer: $384.13 ( rounded)

Original number: $384.125

Step-by-step explanation:

Find 9.75% of Paul's original stock, to find out how much it increased.

9.75*350/100=34.125

Add $34.125 to his original stock.

$384.125

5 0
3 years ago
Pls answer more points​
Lesechka [4]

Answer:

We know, if we multiply a number x by its multiplicative inverse, the result is 1. So, 0.3 is the multiplicative inverse of 313.

7 0
2 years ago
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Solve the system of equations for the variables: 5x+2y=13 x+2y=9
r-ruslan [8.4K]

Answer:

x = 1

y = 4

Step-by-step explanation:

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

4 0
3 years ago
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