All categories

3 years ago

4. A rectangular back yard ice rink is to have an area of 1200m, and will be surrounded by boards. [6]

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

<h2>20 meters by 60 meters.</h2><h2>80 boards.</h2>

Step-by-step explanation:

We know that the ice rink is 1200 square meters, which means to enclose the rink we need dimensions of 20 meters by 60 meters, to have 1200 square meters of area.

Now, the boards are on the perimeter of the ice rink with dimensiosn 20 meters times 60 meters. So, its perimeter is

$P=2(l+w)=2(60+20)=2(80)=160m$

If each board is 2.0 meter long, that means we can divide to find the total number of boards we can have on the ice rink:

$n=\frac{160}{2} =80$

Therefore, with those dimensions, we can have 80 boards surrounding the ice rink.

You might be interested in

A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?

rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

90% is equivalent to 0,90.
5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
13.17% is equivalent to 0.1317.
245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

55.90% of 200 is equal to: $200 \times 0.5590 = 111.8$

360% of 88 is equal to: $88\times 3.6 = 316.8$

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that $230\times 1.07 = 246.1$ , therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0

3 years ago

I absolutely suck in math so please just help me

agasfer [191]

All you have to do is substitute the values of x.

h(0) = |-3(0) + 5|

h(0) = |5|

h(0) = 5

The answer for h(0) is 5.

h(5) = |-3(5) +5|

h(5) = |-15 + 5|

h(5) = |-10|

h(5) = 10

The answer to h(5) is 10.

I hope this helps!

5 0

3 years ago

Tom opens a bank account and makes an initial deposit of 500$. Then banker tells Tom that he is going to receive an annual rate

Arturiano [62]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases} \\\\\\ A=500\left(1+\frac{0.06}{1}\right)^{1\cdot 15}\implies A=500(1.06)^{15}\implies A\approx 1198.28$

5 0

2 years ago

The equation y - 2 = 3(x + 1) is in point-slope

attashe74 [19]

Y-2=3x+3
Then add two
So y=3x+5
Hope this helps sorry if wrong

5 0

3 years ago

Diego made 6 boxes of spaghetti to feed the 20 people who attended his dinner party.

sdas [7]

15
3 box per 10 people
3x5=15

3 0

2 years ago

Read 2 more answers