All categories

3 years ago

How many sides does a polygon have if the sum of the measures of the interior angles is 3960

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

You might be interested in

Consider the quadratic equation: 5x2 + 2x + 1 = 0. 1) Which statement is true about the roots of the given quadratic equation? A

IRINA_888 [86]

Hello!

In math, there is always something called the discriminant. This is represented by the equation $b^{2} -4ac$ , when a quadratic = $ax^{2} + bx + c$ . The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)

Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.

$b^{2} -4ac$

$2^{2} -4(5)(1)$

$4 - 20$

$-16$

Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.

Hope this helps!

5 0

3 years ago

Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered

Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

= 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

= 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

6 0

3 years ago

B) 36 kg in the ratio 1:3:5

ale4655 [162]

9514 1404 393

Answer:

4 kg : 12 kg : 20 kg

Step-by-step explanation:

The total number of "ratio units" is 1+3+5 = 9, so each of them represents ...

(36 kg)/9 = 4 kg

Multiplying the given ratio by 4 kg will show the appropriate division:

1(4 kg) : 3(4 kg) : 5(4 kg) = 4 kg : 12 kg : 20 kg

8 0

2 years ago

Consider the function,

RUDIKE [14]

Answer:

If x= 4 then f(x) = 4x -5 is 11.

Step-by-step explanation:

f(x) = 4x -5

We need to find the domain value that corresponds to the output f(x) = 11

In this question, we need to solve the expression for value of x such that the answer is 11.

if x= 3

f(3) = 4(3) -5

= 12 -5

= 7

Since we want the answer 11 so we cannot take x= 3

if x = 4

f(4) = 4(4)-5

= 16 - 5

= 11

So, if x= 4 then f(x) = 4x -5 is 11.

5 0

2 years ago

I need help asap

Nastasia [14]

Gggggggggggggggggggggggggggggggggggggg. It would be 7

8 0

2 years ago