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3 years ago

If the sum of the measures of the interior angles of a convex polygon is 2160°, how many sides does the polygon have?

Mathematics

1 answer:

Alika [10]3 years ago

8 0

They are 9 in total cause Idk what does a polygon looks like but I just answered that so total is 9

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2 Points

myrzilka [38]

Answer:

Step-by-step explanation:

First find the circumference of the circle with radius of 9 inches:

$C=2\pi r=2\pi \cdot 9=18\pi \ inches$

The full angle has 360°, so, to find the length of the arc DE, you can write:

$360^{\circ}\ - \ 18\pi \\ \\145^{\circ}\ - \ x$

which yields a proportion:

$\dfrac{360}{145}=\dfrac{18\pi}{x}\\ \\360x=145\cdot 18\pi\\ \\x=\dfrac{145\cdot 18\pi }{360}=\dfrac{145\pi}{20}=7.25\pi\approx 22.8\ inches$

6 0

2 years ago

The cartoon can hold 1000 unit cubes I measured 1" x 1" x 1".Describe the dimensions of the carton using unit cubes

Kitty [74]

answer is 10 inch cube(10x10x10)=1000

4 0

2 years ago

Find the surface area of the cube

andre [41]

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

$Area=6a^2$

Thus,

$Area=6a^2$

$Area=6(5)^2$

$Area=6(25)$

$Area=150$

<u><em>Kavinsky</em></u>

4 0

2 years ago

Complement of 70 degrees

Hitman42 [59]

Answer:

20 degrees

Step-by-step explanation:

to find the complement you subtract the angle by 90 degrees

6 0

2 years ago

Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel

Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e ( $x_o, y_o, z_o$ ) and are parallel to $\dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}$

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

$x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct$

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

$\begin {vmatrix} x = 4+ t \\ \\ \dfrac{x-4}{1} = t \begin {vmatirx} \end {vmatrix}$ $\begin {vmatrix} y = - 5+2t \\ \\ \dfrac{y+5}{2} =t \end {vmatrix}$ $\begin {vmatrix} z =2+t \\ \\ \dfrac{z-2}{1} =t \end {vmatrix}$

∴

$\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}$

8 0

2 years ago