Four circles, each with a radius of 2 inches are removed from a square. What is the remaining area of the square?

A. (16-4pie) in.^2
B. (16- pie) in.^2
C. (64-16pie) in.^2
D. (64-4pie) in.^2

Answer:

(3.5, 2)

Step-by-step explanation:

From the attachment, we have:

[tex]H = (1,1)[/tex]

[tex]J= (2,3)[/tex]

[tex]K=(6,3)[/tex]

[tex]L = (5,1)[/tex]

Required

Determine the point of intersection

To do this, we simply calculate the midpoints of the diagonals; which are:

HK and JL

Midpoint is calculated as:

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

For HK:

[tex]M = \frac{1}{2}(1+6,1+3)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For JL:

[tex]M = \frac{1}{2}(2+5,3+1)[/tex]

[tex]M = \frac{1}{2}(7,4)[/tex]

[tex]M = (3.5,2)[/tex]

For both diagonals, the coordinate of the midpoint is (3.5, 2).

Hence, the point of intersection is: (3.5, 2)

Answer: 1/3 of a year equals 4 months

Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4

Hope you are having a nice day and please tell me If got anything wrong  

Answer: 4 months

Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!

Answer:

B is the answer that is incorrect and must be rejected.

Step-by-step explanation:

A trapezoidal shape need not have a line of symmetry to be a trapezoid.

Answer:

12 1/4

Step-by-step explanation:

common denominator between 8 and 2 is 4, adding those up will be 12.25 in decimal form or 12 1/4

Answer:

When you reflect a point of the x-axis you can apply:

(x,y) -> (x,-y)

Using this:

(2,-5) -> (2,5)

Since both the x and y places are positive, it is in quadrant 1.

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)(-3x+10)(50-x)=180

-4x+60=180

-4x=120

x=-30

2)6x+2+2x=90

8x=88

x=11

larger angle: 68°

3) a=3x°

4)(7x-5)=-2x+22

9x=27

x=3

DBE=16°

5)(x-39)=2x-59)

x=20

Answer:

A) 216in squared

Step-by-step explanation:

6 / 2 = 3

4 * 3 = 12

12 * 2 = 24

5 * 12 = 60

60 * 2 = 120

6 * 12 = 72

24 + 72 + 120 = 216in^2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

I think it is the last one

Answer:

[tex] \frac{11}{8} [/tex]

Step-by-step explanation:

[tex] \frac{1 \times 8 + 3}{8} [/tex]

Answer:

11/8

Step-by-step explanation:

Answer:

To find a fraction between two fractions, all we need to do is make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator. then write down the number of rational number you want. if you need more then multiply the denominator and numerator by 10,100.

Step-by-step explanation:

Answer:

21/12

Step-by-step explanation:

You can multiply the number: 1 4/6  1 5/6

10/6  and  11/6

20/12 and 22/12

21/12

I think I am not sure, I have not learned it.

Answer:

x = 5

Step-by-step explanation:

The diagonals of a parallelogram bisects each other, which means that each diagonal is splitter into two equal parts.

Therefore:

x - 2 = 2x - 7

Collect like terms

x - 2x = 2 - 7

-x = -5

Divide both sides by -1

x = 5

Answer:

False

Step-by-step explanation:

The people arent random

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

Answer: the answer is A

Step-by-step explanation:

Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:

Answer:

false -- 2/3 is not a whole number

true -- a terminating decimal is like 0.35 which is 35/100

false

true

so, 2 out of 4.

Answer:

[tex]P(32) = \frac{1}{90}[/tex]

[tex]P(Odd) = \frac{1}{2}[/tex]

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

Sample Space = 10 to 99

First, we calculate the sample size (n)

[tex]n = 99 - 10 + 1[/tex]

[tex]n = 90[/tex]

Solving (a): P(32)

In 10 to 99, there is only 1 32.

So,

[tex]P(32) = \frac{n(32)}{n}[/tex]

[tex]P(32) = \frac{1}{90}[/tex]

Solving (b): P(Odd)

There are 45 odd numbers between 10 and 99

i.e.

[tex]n(Odd) = 45[/tex]

So:

[tex]P(Odd) = \frac{n(Odd)}{n}[/tex]

[tex]P(Odd) = \frac{45}{90}[/tex]

[tex]P(Odd) = \frac{1}{2}[/tex]

Solving (c): P(Multiple of 5)

There are 18 multiples of 5 between 10 and 99

i.e

[tex]P(Multiples\ 5) = \frac{18}{90}[/tex]

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

Answer:

log (16)=2 in base 3x-5

==>16=2^(3x-5)

==>2^4=2^(3x-5)

==>4=3x-5

==>3x=9

==>x=3

Step-by-step explanation:

Answer:

Multiplying - make sure your answer is in fraction form.

1.4 x 0.8 = 28/25

2.3 x 1.8 =207/50

2.37 x 1.2 =721/250

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiply and divide your equation then subtarct it and you get your answer

Answer:

1.5 years

Step-by-step explanation:

I = prt

54 = 800(.045)t

54 = 36t

t = 54/36

t = 1.55

Answer:

The amount of time is 1.5 years

Answer:

yep true

Step-by-step explanation:

facts u know what u talking bout

Answer:

Step-by-step explanation: