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balu736 [363]
3 years ago
11

What is the name of the regular polygon that measures 140゚

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

The regular polygon is a nonagon

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the name of the regular polygon that each interior angle measures 140゚?

we know that

The formula to find the sum of the interior angles in a regular polygon is equal to

n(a)=(n-2)180\°

where

n is the number of sides of the regular polygon

a is the measure of each interior angle of the regular polygon

we have

a=140\°

substitute in the formula and solve for n

n(140\°)=(n-2)180\°

140n=180n-360

180n-140n=360

40n=360

n=9\ sides

so

The regular polygon has 9 sides

therefore

The regular polygon is a nonagon

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aleksandr82 [10.1K]

Answer:

11

Step-by-step explanation:

Evaluate using

PEMDAS

First we do what is inside of the Parenthesis 12 - 9 = 3

Now we have 2 + 3²

Next is Exponents 3² = 9

Now we have 2 + 9

there is no multiplication or division needed so we go straight to addition

9 + 2 = 11

So we can conclude that the answer is 11

4 0
2 years ago
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Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
guapka [62]

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

8 0
3 years ago
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav
Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0
3 years ago
Sarah has a make your own candle set that includes a block of wax in the shape of a rectangular prism. The block of wax has a le
slavikrds [6]

Answer:

She doesn't have enough wax to make 4 candles, but she does have enough to make 3 whole candles

Step-by-step explanation:

Please refer to the attached image for explanations

7 0
3 years ago
At 10 percent interest, how long does it take to quadruple your money?
horsena [70]

It takes about 14.55 years for quadruple your money

<em><u>Solution:</u></em>

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

<em><u>Rule of 144 Formula: </u></em>

N = \frac{144}{R}

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

\rightarrow N =  \frac{144}{10} = 14.4

Thus it takes about 14.4 years for quadruple your money.

<em><u>Another method:</u></em>

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

Amount = Principal(1+\frac{R}{100})^n

4 = 1(1+\frac{10}{100})^n

4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55

Thus Option D 14.55 years is correct

7 0
3 years ago
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