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Romashka [77]
2 years ago
12

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure? ​

Mathematics
1 answer:
Katena32 [7]2 years ago
7 0

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

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Find the dimensions of a rectangle with a perimeter of 52cm if it’s length is 4cm more than its width
Zina [86]
So the perimeter(P) of a rectangle would be:
P= 2L+2W
L being the length and W being the width.
The problem says the length is 4cm more than the width, so L= 4+W.
So if we substitute L with 4+W, we get:
P= 2(4+W) + 2W
Use the Distributive Property
P= 8+2W+2W
Combine like terms
P=8+4W
Since we're given the perimeter, we could replace P with 52. So:
52=8+4W
Subtract 8 to both sides
44=4W
Divide 4 to both sides
11=W
Therefore, the width is 11cm
And since the length is 4cm more than the width, we could add 4cm to 11cm to find that the length is 15cm
Thus, the dimensions of the rectangle are 15cm by 11cm
5 0
3 years ago
A local health club has a large swimming pool non member must pay a 6$ per day fee to use the pool member of the club pay 1$ but
vazorg [7]

Answer:

50 days

Step-by-step explanation:

Step one:'

given data

Non member must pay a 6$ per day

let number of days be x

cost = 6x

member of the club pay 1$ but must pay a yearly membership fee of 250

cost = 250+x

Step two

equate the two expression to find x

6x=250+x

6x-x= 250

5x=250

divide both sides by 5

x= 250/5

x=50 days

3 0
2 years ago
Find the value of m.
Marina CMI [18]
D the best answer My teacher help me into the equation
6 0
2 years ago
You borrow $5,000 from your parents to purchase a used car. The arrangements of the loan are such that you make payments of $250
AfilCa [17]
Part A:
1st month: Interest payable = 1% of $5,000 = $50.00
Amount paid in first month = $250 + $50.00 = $300
Unpaid balance = $5,000 - $250 = $4,750

2nd month: Interest payable = 1% of $4,750 = $47.50
Amount paid in second month = $250 + $47.50 = $297.50
Unpaid balance = $4,750 - $250 = $4,500

3rd month: Interest payable = 1% of $4,500 = $45.00
Amount paid in third month = $250 + $45.00 = $295.00
Unpaid balance = $4,500 - $250 = $4,250

4th month: Interest payable = 1% of $4,250 = $42.50
Amount paid in fouth month = $250 + $42.50 = $292.50
Unpaid balance = $4,250 - $250 = $4,000

5th month: Interest payable = 1% of $4,000 = $40.00
Amount paid in fifth month = $250 + $40.00 = $290.00
Unpaid balance = $4,000 - $250 = $3,750

6th month: Interest payable = 1% of $3,750 = $37.50
Amount paid in sixth month = $250 + $37.50 = $287.50
Unpaid balance = $3,750 - $250 = $3,500

7th month: Interest payable = 1% of $3,500 = $35.00
Amount paid in seventh month = $250 + $35.00 = $285.00
Unpaid balance = $3,500 - $250 = $3,250

8th month: Interest payable = 1% of $3,250 = $32.50
Amount paid in eighth month = $250 + $32.50 = $282.50
Unpaid balance = $3,250 - $250 = $3,000

9th month: Interest payable = 1% of $3,000 = $30.00
Amount paid in ninth month = $250 + $30.00 = $280.00
Unpaid balance = $3,000 - $250 = $2,750

10th month: Interest payable = 1% of $2,750 = $27.50
Amount paid in fouth month = $250 + $27.50 = $277.50
Unpaid balance = $2,750 - $250 = $2,500

11th month: Interest payable = 1% of $2,500 = $25.00
Amount paid in seventh month = $250 + $25.00 = $275.00
Unpaid balance = $2,500 - $250 = $2,250

12th month: Interest payable = 1% of $2,250 = $22.50
Amount paid in eighth month = $250 + $22.50 = $272.50
Unpaid balance = $2,250 - $250 = $2,000



Part B:
Number of payments = 5000 / 250 = 20
Total amount of interest = 50 + 47.5 + 45 + . . . + upto the 20th payment.
This is an arithmetic sequence with the first term as 50, common difference as -2.5 and number of terms = 20.

Sum of the first 20th term of the GP is given by
S_n= \frac{20}{2}[2(50)+(20-1)(-2.5)] \\  \\ =10(100-2.5(19))=10(100-47.5) \\  \\ =10(52.5)=\$525.00

Therefore, the <span>total amount of interest paid over the term of the loan is $525.00</span>
8 0
3 years ago
You go to the store and pick out 3 apples for $0.60 each, 2 bananas for $0.50 each, and 1 quart of yogurt for $4.50. At checkout
Thepotemich [5.8K]

Answer:

I'm not 100% sure but I think it's $6.20

Step-by-step explanation:

First you add up the apples which equals $1.80 then you add up the bananas which equals $1.00 then you add the yogurt together which amounts to $4.50. After that you add all of that together which totals to $7.30.

For the sake of finding the percentage we're gonna move the decimal point to the very end. ( so its 730.0). Now in order to find 15% we have to find 10%. To find 10%, you move the decimal point over one (73.00). So 10% of 730 is 73. 10% + 5% = 15%. And half of 10% is 5%. So, we cut 73 in half so now we have 36.5. Now we add 36.5 to 73 (because 10% + 5%=15%) I'm just gonna round 36.5 to 37, and 73+37= 110. Now we move the decimal point back so its $1.10. Now we subtract $1.10 from $7.30 which is equal to $6.20. So your answer is $6.20.

(I'm rlly bad at explaining things so sorry if this wasnt clear enough. Also I'm not the best at math but I guess I know percentages.)

8 0
3 years ago
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