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Mandarinka [93]
3 years ago
13

Find the area of the unshaded part of the figure

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0
<h3>Answer:</h3>

  unshaded area = 25(4 -π) in^2 ≈ 21.46 in^2

<h3>Step-by-step explanation:</h3>

Each of the shaded circles has a diameter of (20 in)/4 = 5 in, which also is the width of the enclosing rectangle. Then each circle has a radius of 2.5 in, and an area of ...

  A = πr^2 = π(2.5 in)^2 = 6.25π in^2

The four circles together have an area of ...

  4A = 4·(6.25π in^2) = 25π in^2

The area of the rectangle is the product of its length and width:

  A = LW = (20 in)(5 in) = 100 in^2

Since the circles are shaded, the unshaded area is the difference between the rectangle area and the total area of the four circles:

  unshaded area = (100 in^2) - (25π in^2) = 25(4 -π) in^2 ≈ 21.46 in^2

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a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4
wolverine [178]

Answer:

(1)

compound amount = 802.5 $

invest earned = 52.5 $

Step-by-step explanation:

total amount = 10000 $

let amount x invested in ventures A and remaining (1000-x) on ventures B

now,

6x/100 +23/400(1000-x ) = 588.75

{24x+23(1000-x)}/400 =588.75

x=235500-230000

x=5500

Amount invested on A = 5500$

Amount invested on B = 4500$

(2)

principle=750$

time= 1 year

effective invest rate = 7%

a) compound amount = p(1+(r/w)^t

=750{1+(7/100)}^1

=802.5$

b) invest earned = 802.5-700 = 52.5$

3 0
3 years ago
Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number
adell [148]

Answer:there are 14 5point problems and 15 2point problems on the test.

Step-by-step explanation:

x represents number of 5 point questions and y represents questions worth 2 points.

The total number of questions in the test is 29. It means that

x + y = 29

x = 29 - y

Mr. Martin’s math test is worth 100 points. It means that

5x + 2y = 100 - - - - - - - - -1

Substituting x = 29 - y into equation 1, it becomes

5(29 - y) + 2y = 100

145 - 5y + 2y = 100

- 5y + 2y = 100 - 145

- 3y = - 45

y = - 45/-3

y = 15

x = 29 - y = 29 - 15

x = 14

3 0
3 years ago
HELP ASAP PLEASE!!!!!!
Volgvan
I think b am not sure
3 0
3 years ago
Read 2 more answers
Someone please help with my brothers homework, i'll give you a five star rating and the brainliest answer! :D​
e-lub [12.9K]

Answer:

your answer would be 450

7 0
2 years ago
the head of a nail is circular , as shown the head of this nail has a diameter of 6 millimeters what measurment is closet to the
Nikitich [7]

Answer:

Area of nail's head  = 28.26 millimeter² (Approx.)

Step-by-step explanation:

Given:

Head of nail is circular

Diameter of nail's head = 6 millimeter

Find:

Area of nail's head

Computation:

Radius of nail's head = Diameter / 2

Radius of nail's head = 6 / 2

Radius of nail's head = 3 millimeter

Area of circle = πr²

Area of nail's head  = πr²

Area of nail's head  = (22/7)(3)²

Area of nail's head  = (22/7)(9)

Area of nail's head  = (3.14)(9)

Area of nail's head  = 28.26 millimeter² (Approx.)

5 0
2 years ago
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