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4 years ago

Find the sum of the measures of the interior angles of a convex 30-gon.

2 answers:

7 0

The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.

For a 30-gon, the sum of interior angles is (28) x (180) = <u>5,040 degrees</u>.

It makes no difference whether or not the polygon is convex at every vertex.

skad [1K]4 years ago

4 0

There's an equation for that:

Sum of interior angles = 180(n - 2)
where n = number of sides

So if you have a polygon with 30 sides, the sum of the interior angles is:

180(30 - 2) = 180(28) = 5040 deg

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

Read 2 more answers

How would I solve this

beks73 [17]

Answer:

5 miles

Step-by-step explanation:

just count the units

Hope This Helps! Have A Nice Day!!

7 0

3 years ago

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Three friends got jobs at stores in the mall. nina earns 177.60for 14 hours of work ty earns 148.50 for 18 hours of work kim ear

Daniel [21]

Answer:

The question might be centered on computation on the hourly rate earned by the three friends:

Nina $12.69

Ty $8.25

Kim $8.60

Step-by-step explanation:

Hourly rate earned=total earnings/hours worked

Nina:

Nina earned $177.60 for 14 hours,hence hourly rate is $ 12.69 ($177.60/14)

Ty:

Ty earned $148.50 for 18 hours period of work,thus earned $8.25 ($148.50/18)

Kim earned $137.60 for 16 hours duration of work,invariably Kim earned $8.60 ($137.60/16)

From the above analysis it is clear that Nina earned the highest hourly rate of $12.69 per hour

5 0

3 years ago

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Which statement is true regarding the angles in the figure below?

Nesterboy [21]

An exterior angle is an angle supplementary to one of the interior angles.

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

8 0

3 years ago

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What number is 16% of 46

VMariaS [17]

Answer: 7.36

Step-by-step explanation:

16/100 = 0.16

0.16 * 46 = 7.36

5 0

3 years ago