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3 years ago

A polygon has 11 sides. What is the sum of the measure of the exterior angles of the polygon?

Mathematics

1 answer:

Serhud [2]3 years ago

6 0

Answer: 32,73°

Step-by-step explanation: The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides. Therefore it's 360°÷11sides=32.73°, that is to 2 decimal places.

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serious [3.7K]

$2x + 4 = - 8 + 5x \\ 12 = 3x \\ x = 4$

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3 years ago

Susie has 4 gallons of juice.How many cups of juice does she have?<br> ANSWER QUICKLY

IgorLugansk [536]

Answer: 64 cups

Step-by-step explanation:

Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)

5 0

3 years ago

Read 2 more answers

Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help

Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

$x=y-8$ ----> $y=x+8$ ----> equation A

$xy=105$ ----> equation B

substitute equation A in equation B

$x(x+8)=105$

$x^2+8x-105=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+8x-105=0$

$a=1\\b=8\\c=-105$

substitute in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{484}} {2}$

$x=\frac{-8(+/-)22} {2}$

$x=\frac{-8(+)22} {2}=7$

$x=\frac{-8(-)22} {2}=-15$

Remember that the solution cannot be a negative number

The solution is x=7

therefore

Marco's age is 7 years old

4 0

4 years ago

Rectangle area w algebra<br> step by step explanation please :)

Natalija [7]

We know that the area is 20.

Since 20 is a small number: lets list out possible combinations of lengths and widths.

1 * 20

2 * 10

4 * 5

L = 7 + 3w

lets see which on makes sense.

L = 7 + 3w

20 = w7 + 3w^2

3w^2 + 7w -20 = 0

(3w - 10)(w - 2)

w can equal 10/3 or 2.

So the dimensions: are Width = 2 Length = 10

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3 years ago

Find the circumference of a circle with radius, r = 10.5m.Give your answer in terms of π<br> .

forsale [732]

Answer:

Circumference of circle =2πr=2π×10.5=21πm

Step-by-step explanation:

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3 years ago