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natka813 [3]
3 years ago
15

What are the areas of each smaller rectangle and the large rectangle?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

Area of part 1: 3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2: 3\sqrt{2} * 5\sqrt{2}=30

Area of entire rectangle: 30 + 15\sqrt{2}

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2:

3\sqrt{2} * 5\sqrt{2}=30

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

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A printer takes 7 minutes to print a document with 63 pages. How many pages
Artemon [7]

Create a proportion.

Since it takes 7 minutes to print 63 pages, and half an hour is 30 minutes, you create two ratios(unit per unit) and line up the units(minutes to minutes, pages to pages).

\frac{7 min}{63 pages} = \frac{30 min}{Xpages}

Now you cross multiply, 63 * 30 = 1890 and 7 * x = 7x.

So we have 1890 = 7x.

Then we divide both sides by seven.

\frac{1890}{7} = \frac{7x}{7}

270 = x, therefore you can print 270 pages in half an hour :)

5 0
1 year ago
It takes Alexandra 2 hours and 44 minutes to cut the grass. Austin needs 3 hours and 14 minutes to cut the grass. If they work t
Vedmedyk [2.9K]
For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)

The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).

(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3

___
2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds

___
Learn to use the fraction functions on your calculator. They can be very helpful.
6 0
3 years ago
The diameter of a circle is 16 centimeters. How would you calculate the area?
kupik [55]
The answer is C
explanation
4 0
2 years ago
Simplify fowllow the order of operarions 12-7+9-2
steposvetlana [31]
12 bro it even says to follow the order of operations. If there is only addition and subtraction you just go from left to right. Same with if there is only multiplication and division.
6 0
3 years ago
Read 2 more answers
A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be
Ronch [10]

The account balance after 3 years if the interest is compounded continuously is $5,142.62

<h3>How to find compound interest?</h3>

  • Principal, P = $4,700
  • Time,t = 3 years
  • Interest rate, r = 3%

r = 3/100

r = 0.03 rate per year,

A = Pe^rt

A = 4,700.00(2.71828)^(0.03)(3)

= 12,775.916^0.09

A = $5,142.62

Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62

Learn more about compound interest:

brainly.com/question/24924853

#SPJ1

8 0
2 years ago
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