Cindy has 30 meters of fencing. She
plans to fence in a rectangular dog run
that is 4 meters wide.
[Remember, the formula for the
perimeter of a rectangle (the distance
around) is p= 2L+2w,
where L=
length and w = width.]



How long can the run be made

√27 - √3

= 3√3 - √3

= 2√3

I think the answer is the second one.

See picture for math work and answer.

Answer:

30 in³

Step-by-step explanation:

surface area = 2(2 * 5 + 5 * u + 2 * u) = 62

2(10 + 5u + 2u) = 62

2(10 + 7u) = 62

10 + 7u = 62/2 = 31

7u = 31 - 10 = 21

so u = 21/7 = 3 in

Volume = 2 * 5 * 3 = 30 in³

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39

Answer:

39.

Step-by-step explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361  - 7(47-1)

= 39.

Answer: 54.2241

Step-by-step explanation:

You multiply 9.513 by 5.3 which gives you an answer of 54.2241. (Hope this helped)

Answer:

-50, -31.5, 44 I think

Step-by-step explanation:

The order from least to greatest is:

-50, -3, 1.5, 44

When the negative value increases ( from -1 to -2 ), the value in general decreases. Negative values have a lower value than non-negative numbers.

Answer:

You can't solve this without a specific value of x.

Step-by-step explanation:

Well, all that the absolute value sign means, is that you work in them like parenthesis, but when you "open them up" no matter what, the result will be positive.

So, | x - 2 | - | x - 3 | is just a showing you that you are going to have a positive answer for x - 2, and you are going to have a positive answer for x - 3.

Now, since we don't have a specific value for x, just to simplify this even more, lets just quickly substitute x = 1, just for a reference, so:

| 1 - 2 | - | 1 - 3 | = | -1 | - | -2 |

                         = 1 - 2

                         = -1

Ok, so we got that, now we can go back to the original problem. Since we really don't have a specific value for x, we can't really simplify this any further. Maybe if you had a specific value or placeholder for x, then you would be able to solve this.

Answer:

x=15

Step-by-step explanation:

[tex]18^2=12(x+12)\\\\324=12(x+12)\\\\323=12x+144\\\\\cfrac{180}{12} =\cfrac{12x}{12} \\\\x=15[/tex]

~

Answer:

im pretty sure that the answer is 2/3

Step-by-step explanation:

Answer:

Hello

Midpoint of (-8,6) and (5,-7)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-8+5/2),(6+-7/2)

        =(-3/2),(-1/2)

Midpoint of (-8,6) and (5,-7) is (-3/2),(-1/2)

Hope it helps you.....

Answer:

190

Step-by-step explanation:

Answer:

A) 5 times the sum of 3 and 4, then subtract 4

Answer:

a)C

b)E

Step-by-step explanation:

a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C

b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.

The slope of the graph is $15 per hour. The linear function is given by y = 15x

A linear function is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept

The graph passes through the point (1, 15) and (8, 120) is:

y - 15 = [(120 - 15)/(8 - 1)(x - 1)

y = 15x

For 20 hours; y = 15(20) = $300

If the person got a $50 bonus and also worked some hours, the graph would change because the y intercept would be 50.

If the person got a $2 per hour rate, the graph would change because the slope would be 2.

The slope of the graph is $15 per hour.

Find out more on linear function at: https://brainly.com/question/15602982

Answer:

C. 216 m^2

Step-by-step explanation:

The formula for the volume of a right solid is area of the base multiplied by the height. Following this formula, we multiply the given area of the base (27 m^2) by the height (8 m) to get 216 m^2, which is option C.

Answer:

85.9°

Step-by-step explanation:

angle = [tex]\arccos\frac{a\cdot b}{|a| |b|} = \arccos\frac{1+6-6}{{\sqrt{1+4+9}}\sqrt{1+9+4}}\\=\arccos\frac{1}{14}=85.9 degrees[/tex]

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=6500\left(1+\frac{0.042}{2}\right)^{2\cdot 5}\implies A=6500(1.021)^{10}\implies A\approx 8001.49[/tex]

[tex]\\ \sf\longmapsto12x+7=10(x+1)-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+10-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+7[/tex]

[tex]\\ \sf\longmapsto 12x=10x[/tex]

[tex]\\ \sf\longmapsto x=10/12=5/6[/tex]

We need natural number

[tex]\\ \sf\longmapsto 12(0)=10(0)[/tex]

Yes 0 is a solution

Answer:

1,140,000

Step-by-step explanation:

1 million = 1,000,000

So, 1.14 million = 1,140,000

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

53 miles

Step-by-step explanation:

80 miles per hour

x miles per 45 minutes

So, we know that an hour is 60 minutes so lets change the hour to that.

80 miles per 60 minutes

x miles per 45 minutes

Now, we do cross-multiplication:

[tex]\frac{x}{45}[/tex]  [tex]\frac{80}{60}[/tex]

So, we multiply 80 by 45 which is 3200. Then, we divide 3200 by 60 which is 53.3. So, the train travels 53.3 miles in 45 minutes.

But to round it, it would be 53 miles.

Hope this helps

The number of miles traveled by train in 45 minutes will be 60 miles.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The speed of the train is 80 miles per hour. Then the number of miles in 45 minutes is calculated as,

80 = D / (45 / 60)

D = 80 x 45 / 60

D = 60 miles

The number of miles traveled by train in 45 minutes will be 60 miles.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Answer:

True

I hope this helps!

Answer:

92%

Step-by-step explanation:

Answer:

P(x=5)=0.2

Step-by-step explanation:

Binomial Distribution

Consider a random event that has only two possible outcomes. Call p to the probability that the event has a 'successful' outcome, and q to the 'unsuccessful' outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random event n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

Calculate the probability for n=10, p=0.4, x=5. It follows that q=1-p=0.6:

[tex]\displaystyle P_{5} = {10 \choose 5}\cdot 0.4^{5}\cdot 0.6^{10-5}[/tex]

[tex]\displaystyle P_{5} = 252\cdot 0.4^{5}\cdot 0.6^{5}[/tex]

[tex]P_{5} = 0.2[/tex]

P(x=5)=0.2