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3 years ago

The measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

Mathematics

1 answer:

Nesterboy [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61 = 18.44

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What is the volume of the cylinder pictured below?

Vera_Pavlovna [14]

Answer:

Answer is 80.36

Step-by-step explanation:

V=πr2h=π·2.12·5.8≈80.35566

Pls mark brainleist

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3 years ago

Compare using >, <, or =.<br><br> 3 miles_5,000 yards

lina2011 [118]

Answer:

3 miles = 5280 yds

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3 years ago

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

5 0

3 years ago

Find the equation of the line

wel

The slope is -1/4 and the y intercept it -6

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3 years ago

If I have this sequence 2, 4, 6, ... I can describe the rule as

Andrews [41]

Answer:

I believe your rule would be (The rule is add 3)

Step-by-step explanation:

If you have -9 and you get to -6 that means you added an interval of 3

-9,-6,-3,0,3 is how it would continue

(The rule is add 3)

3 0

3 years ago