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3 years ago

What is the sum of interior angels of an octagonal box?

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

8-2=6
180×6=1080 degrees
sum of interior angle of an octagonal box = 1080 degrees

Elodia [21]3 years ago

7 0

Just like any regular polygon, to find the interior angle we use the formula 180(n–2) For an octagon, n=8. (n=the number of sides of the polygon; a polygon is a shape with 3 or more sides) The sum of interior angles of an octagon=(n-2)*180 degrees =(8-2)*180 degrees = 6*180 degrees =1080 degrees.

Hope this helps xox :)

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

The length of arc when angle in radians is:

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

2 years ago

Verbalize 2(n^3+3n^2)=4n

Arada [10]

Answer:

A number cubed plus a 3 times a number squared all multiplied by 2 is equal to 4 times a number.

Step-by-step explanation:

Since we can't say "in parenthesis", we will have to say the expressions in the parenthesis first and then say "all multiplied by 2" to express parenthesis in word form. The rest are pretty straight forward.

5 0

3 years ago

The total amount of weight on an elevator cannot exceed 1,800 pounds. a delivery person is on the elevator delivering packages.

HACTEHA [7]

Answer:

p ≤ 8

Step-by-step explanation:

Given the following :

Maximum weight elevator can hold ≤ 1800

Weight of delivery person and packages = 520 pounds

Average weight of a person = 160 pounds

Inequality to show how many additional people elevator can hold?

(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800

Let p = number of persons

(520 + 160p) ≤ 1800

160p ≤ 1800 - 520

160p ≤ 1280

p ≤ 1280 / 160

p ≤ 8

8 0

3 years ago

2x — бу = 12 х+ 10 = — 9

Serggg [28]

Answer:

x = -19; y = 25/3

Step-by-step explanation:

Step 1: solve the equation with only one variable

Isolate the variable (x)

x + 10 = -9

x = -9 - 10

x = -19

Step 2: input new information into the other equation

If x = -19, then:

2(-19) - 6y = 12

Isolate the variable (y)

-38 - 6y = 12

-6y = 12 + 38

-6y = 50

y = 50 ÷ 6

y = 50/6

Simplify

y = 25/3

5 0

3 years ago

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balu736 [363]

The answer is x=-6 and y= 1

3 0

3 years ago

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