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Sever21 [200]
3 years ago
13

A square of area 36cm is cut to make two rectangles a and b the ratio of area a to b is 2:1 work ou the dimensions of rectangles

a and b
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

Step-by-step explanation:

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

\frac{6a}{6b}=\frac{2}{1}  \\a=2b

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

6a+6b=36\\a+b=6

Using substitution method, we can solve for 'a' and 'b' as shown below:

2b+b=6\\3b=6\\b=2

And

a=2b\\a=2(2)\\a=4

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.

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A jacket costs 50$ at the store Evan has a coupon for 15$ off.Max pays only 0.6 of the price because his father works at the sto
Arturiano [62]

Answer:

Step-by-step explanation:

The original price of the jacket at the store is $50.

Evan has a coupon for 15$ off. This means that the amount that Evans will pay is the original price - 15% of the original price. It becomes

50 - (15/100 × 50) = 50 - 7.5 = $42.5

Max pays only 0.6 of the price because his father works at the store.

This means that the amount that Max will pay is 0.6 × the original price. It becomes

0.6 × 50 = $30

Max will pay the least amount because his amount is smaller

6 0
3 years ago
Please answer this correctly
MAVERICK [17]

Answer:

1:50 PM

Step-by-step explanation:

Left school at 10:38 AM,

took them 51 minutes,

38+51=89,

89-60=29,

so when they drove to the museum, it was 11:29 AM.

From here, they stayed at the museum for 1 hour and 26 minutes,

so they stayed at the museum until 12:55 AM since 29+26=55.

Now, it took them 55 minutes to drive back to the school,

so 12:55 plus another 55 minutes,

it's going to be 1:50 PM when Dale's class got back to school.

7 0
3 years ago
Jeff decided to purchase a house, his mortage is a 30-year loan at 4.1 % compounded monthly. The final purchase price was $150,0
vredina [299]

Answer:

  $711.23

Step-by-step explanation:

We assume the entire closing cost went to reducing the principal of the loan. Then the amount borrowed was $147,192.

<h3>Monthly payment</h3>

The amortization formula tells you the monthly payment.

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

P is the principal, r is the annual rate, and t is the number of years.

The monthly payment is ...

  A = $147,192(0.041/12)/(1 -(1 +0.041/12)^-360) ≈ $711.23

Jeff's monthly payment is $711.23.

5 0
2 years ago
Find the factors of 200m2 - 800n2.
leonid [27]

Answer:

Step-by-step explanation:

200m^2-800n^2=200(m^2-4n^2)

8 0
3 years ago
Three sets of a sum of a number and four are added to the sum of 7 times the same number and 13
Reika [66]
Let
x--------------> a number

we know that
<span>three sets of a sum of a number and four----------> 3(x+4)
t</span><span>he sum of 7 times the same number and 13--------> 7x+13

therefore

</span>(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]

[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15

the answer is 10x+15


5 0
3 years ago
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