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3 years ago

If the interior angle ofa regular polygon is 162° how many sides does it have

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

20 sides.

Step-by-step explanation:

The exterior angle = 180 - 162 = 18 degrees.

Since the sum of the exterior angles = 360 degrees the number of sides

= 360 / 18

= 20 sides.

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are

FrozenT [24]

Answer:

15 possible combinations

Step-by-step explanation:

Given

$Vegetables = 6$

$Selection = 2$

Required

Determine the possible number of combinations

The question emphasizes on "selection" which means "combination".

So; To answer this question, we apply the following combination formula:

$^nC_r = \frac{n!}{(n-r)r!}$

In this case:

$n = 6$

$r = 2$

The formula becomes:

$^6C_2 = \frac{6!}{(6-2)!2!}$

$^6C_2 = \frac{6!}{4!2!}$

$^6C_2 = \frac{6*5*4!}{4!2*1}$

$^6C_2 = \frac{6*5}{2}$

$^6C_2 = \frac{30}{2}$

$^6C_2 = 15$

<em>Hence, there are 15 possible combinations</em>

7 0

3 years ago

The number y of deer in a county after x years can be modeled by y=0.75x^2 + 10.5x + 1300. When were there about 2000 deer? Roun

Lemur [1.5K]

Answer:

24 years

Step-by-step explanation:

We are told that the model of number of deers is;

y = 0.75x² + 10.5x + 1300

Where;

y represents number of deers

x represents number of years

Now, we want to find how many years it will take to get to 2000 deers.

Thus;

2000 = 0.75x² + 10.5x + 1300

0.75x² + 10.5x + 1300 - 2000 = 0

0.75x² + 10.5x - 700 = 0

Using quadratic formula, we have;

x = [-b ± √(b² - 4ac)]/2a

x = [-10.5 ± √(10.5²- (4*0.75*-700)]/(2*0.75)

x = [-10.5 ± √(110.25 + 2100)]/(1.5)

x = [-10.5 ± √2210.25]/(1.5)

x ≈ -38 or 24

Number of years can't be negative, so we will take the positive value.

So, x = 24 years

3 0

3 years ago

Para calcular 1/7 de 2/5

dalvyx [7]

Answer: I'm willing to help you but, I don't get what your trying to ask.

4 0

3 years ago

Write and solve an equation to answer the question. 14 is what percent of 70?

slamgirl [31]

Answer:

20%

Step-by-step explanation:

An equation is 14=x/100*70 or 14=(x%)*70, either one works

solve for x:

14=x/100*70
14/70=x/100 (Divide each side by 70)
1/5=x/100 (Simplify 14/70)
100/5=x (Multiply each side by 100 to isolate x)
x=20 (Simplify 100/5)
20% (Rewrite as a percent)

hope this helps!!

3 0

3 years ago

A winter resort took a poll of its 400 visitors to see which winter activities people enjoyed. The results were as follows: 188

VARVARA [1.3K]

Exactly one activity: 246
None of the activities : 1
At least one activity: 74
Snowboarding and Ice skating but not skiing: 5
Snowboarding or ice skating but not skiing: 132.
Only skiing : 119.
The diagram is in the attachment.

Download docx

6 0

3 years ago

If the interior angle ofa regular polygon is 162° how many sides does it have​

If the interior angle ofa regular polygon is 162° how many sides does it have