What is the width of a rectangle with a length of
5/6 feet and an area of 2 square​ feet?

Given:

Given that the radius of the circle is 2 inches.

We need to determine the area of the remaining square.

Area of a square:

Given that each circle has a radius of 2 inches.

Then, the diameter of each circle is 4 inches.

Hence, the side length of the square is 2 × 4 = 8 inches.

The area of the square is given by

[tex]A=s^2[/tex]

[tex]A=8^2[/tex]

[tex]A=64[/tex] [tex]in^2[/tex]

Thus, the area of the square is 64 square inches.

Area of the four circles:

The area of one circle is given by

[tex]A=\pi r^2[/tex]

Substituting r = 2, we have;

[tex]A=4\pi[/tex]

Thus, the area of one circle is 4π in²

The area of 4 circles is 4 × 4π =16π in²

Hence, the area of the 4 circles is 16π in²

Area of the remaining square:

The area of the remaining square is given by

Area = Area of the square - Area of four circles.

Substituting the values, we get;

[tex]Area=64-16\pi[/tex]

Thus, the area of the remaining square is (64 - 16π) in²

Hence, Option c is the correct answer.

Answer:

C. (64 – 16π) in.2

Step-by-step explanation:

Answer:

you gotta show a picture of the table in order for us to know what's missing from it

When d = -1, the value of y is 300 acres means that the area burned in the fire was 300 acres. When d = -3, the value of y is 1.17 acres means that the area burned in the fire was only 1.17 acres three days

An equation is an expression that shows the relationship between two or more numbers and variables.

we can use the given equation y = (4,800)2^d and substitute the values of d in the table to get the complete table.

Now the equation y = (4,800)2d for d when y = 4,800 and then subtract 7 from that value.

(4,800)2d = 4,800

2d = 1

d = 0.5

The fire had burned for  12 hours, before it measured 4,800 acres.

To determine the area the fire had burned a7 days before this measurement, we will then substitute d = -6.5 into the equation:

y = (4,800)2(-6.5) ≈ 0.00025 acres

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Answer:

B. f(x) = 176x + 10,580

Step-by-step explanation:

The y-intercept is about 10,580.

The slope is about 176

You can get the slope by subtracting 10925-10600 and then dividing the answer by 2

Answer:

The first option.

Step-by-step explanation:

Use the base law of exponents, which states that (x^m)^n equals x^(m * n).

Answer:

1.3kg/m^3

Step-by-step explanation:

Volume of cylinder=πr^2h

V=πx4^2x12

V=192π

192π=603.186m^3

Density=Mass/volume

D=800/603.186

D=1.3

Answer:

Nothing

Step-by-step explanation:

You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.

:)

Answer: 1.3

Step-by-step explanation:

The probability that the sum of your rolls is 5 or higher is 13/18

In a roll of two fair die, we have the following parameters:

So, the probability is:

P = 26/36

Simplify

P = 13/18

Hence, the probability that the sum of your rolls is 5 or higher is 13/18

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Answer:

When X = 25

Step-by-step explanation:

Use derivative = 0 to locate the turning point

50 - 2X = 0 => X = 25

Answer:

400 students

Step-by-step explanation:

64 - 16%

? - 100%

(100*64)/16

= 400

Answer:

A

Step-by-step explanation:

the angles are adjacent angles on a straight line and sum to 180°, so

5x + 4x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

∠ MTQ = 5x = 5 × 20 = 100°

∠ GTQ = 4x = 4 × 20 = 80°

Answer:

infinitely many solutions

Step-by-step explanation:

The system of equations :

Multiplying Equation 1 times 3 and Equation 2 times 2 :

Putting the equations in standard form after simplifying :

As both equations are the same, the system will have infinitely many solutions.

Answer:

Step-by-step explanation:

7[tex]a^{2}[/tex] - 2a + 6  - ( -5[tex]a^{2}[/tex] + 3 )

7[tex]a^{2}[/tex] - 2a + 6 + 5[tex]a^{2}[/tex] - 3

12[tex]a^{2}[/tex] -2a +3

Answer:

[tex]\bf 5a^2+5a+3[/tex]

Step-by-step explanation:

[tex]\sf \left(7a-2a+6\right)-\left(-5a^2+3\right)[/tex]

[tex]\sf 7a-2a+6-\left(-5a^2+3\right)[/tex]

Combine like terms:-

[tex]\sf 5a+6-\left(-5a^2+3\right)[/tex]

Apply Distributive property:-

[tex]\sf 5a+6+5a^2-3[/tex]

Comnine like terms:-

[tex]\sf 5a^2+5a+6-3[/tex]

[tex]\sf 5a^2+5a+3[/tex]

Answer:

B

Step-by-step explanation:

y+1>2(x-2)

distribute the right side

y+1>2x-4

minus 1 on both sides

y>2x-5

slope is 2/1

y intercept is -5

> means dotted line and shaded in to the left

:)

Answer:

$1555.91

Step-by-step explanation:

First Month:

You start out with $500.

You add $200 in the first month, and have 700.

Multiply 700 by 1.01, to add the interest and you get 707.

Second Month:

707 + 200 = 907

907 x 1.01 = 916.07

Third Month:

916.07 + 200 = 1116.07

1116.07 x 1.01 = 1127.2307

Fourth Month:
1127.2307 + 200 = 1327.2307

1327.2307 x 1.01 = 1340.503007 (round to .50)

Fifth Month:

1340.50 + 200 = 1540.50

1540.50 x 1.01 = 1555.905

Round to 1555.905 1555.91, and there's your answer. Hope this helps!

Bobby will need additional 20 friends to help finish cleaning in time.

The rate at which Bobby and his 9 friends are cleaning the house is determined as follows;

10 person ------> 8 hours

1 person -------->?

= 10 x 8 = 80 hours/person

When the parents are 2 hours from the house, Bobby will more friends working at the same rate to complete it in 2 hours time.

During this period Bobby and his friends have worked for 2 hours remaining 6 hours.

New rate;

10 person ------> 6 hours

1 person -------->?

1 person = 10 x 6 hrs = 60 hours per person

2 = 60/x

x = 60/2

x = 30 persons

Thus, Bobby will need additional 20 friends to help finish cleaning in time.

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Answer:

9x² - 25 = (3x - 5)(3x + 5)

Step-by-step explanation:

(a + b)(a - b) = a² - ab + ab - b² = a² - b²

a² - b² = (a + b)(a - b)

Answer:

20 in²

Step-by-step explanation:

Divide the shape into two rectangles (see attached image)

Area of a rectangle = width × length

Area of rectangle 1

⇒ area = 2 × 3

            = 6 in²

Area of rectangle 2

⇒ area = (5 - 3) × 7

            = 2 × 7

            = 14 in²

Total area

Total area = area of rectangle 1 + area of rectangle 2

                 = 6 + 14

                 = 20 in²

Area of vertical rectangle:-

Area of horizontal rectangle

Total:-

Answer: There are 4 more wrenches in the toolbox than the screwdrivers.

Step-by-step explanation: Add the 6 wrenches Sid put in the toolbox with the 8 wrenches Bella added to get 14 wrenches in total. Then, subtract the 10 screwdrivers from the 14 wrenches to get 4 wrenches.

Answer:

0.1

Step-by-step explanation:

total number of marbles= 2+4+8=14 marbles

probability of getting 2blue

= 4/14×3/13= 4×3/14×13=12/182= 0.06593

to the nearest tenth= 0.1

Answer:

2) option (d)

3) option (c)

4) option (b)

5) option (b)

6) option (a)

In order to achieve his goal of paying the credit debt off in 24 months, B. Gio can eliminate $62.57 from Entertainment/Shopping.

If Gio is paying $105, the number of months that he will be able to pay back the debt in, can be found using credit card debt calculators to be 3 years and 10 months.

In order to pay back his credit card debt in 24 months, the minimum amount he needs to pay is:

= $167.57 per month

Considering that he is currently paying $105, the amount extra that he needs to pay is:
= 167.57 - 105

= $62.57

This can be acquired from Entertainment/ Shopping.

In conclusion, option B is correct.

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Notice that the dividend [tex]8y^2-12y+4[/tex] has tree terms with [tex]a=8y^2[/tex], [tex]b=-12y[/tex], c [tex]c=4[/tex]

Now, to divided our dividend [tex]8y^2-12y+4[/tex] by the monomial (single term) [tex]4y[/tex], the easiest thing to do is divide each term of the dividend by the monomial:

[tex]8y^2-12y+4[/tex] ÷ [tex]4y[/tex] = [tex]\frac{8y^2-12y+4}{4y}=\frac{8y^2}{4y}-\frac{12y}{4y}+\frac{4}{4y}=2y-3+\frac{1}{y}[/tex]

After performing the division we get that now [tex]a=2y[/tex] and [tex]b=-3[/tex]

We can conclude that the correct answer is a = 2y and b = –3

is equal to

=

hope it helps...!!!

Answer:

Your answer would be C, =

Step-by-step explanation:

I got the answer wrong so go off of the other persons.

Answer:

in the following diagram DE=6m,EG=10m,FG=8

calculate the length of the following

DG

Answer:

-5m-3

Step-by-step explanation:

step 1 Collect like terms.

3(5m+2)-20m+(-14+5)

step 2 Simplify.

3(5m+2)-20m-9

step 3 Expand by distributing terms.

15m+6-20m-9

step 4 Collect like terms.

(15m-20m)+(6-9)

step 5 Simplify.

-5m-3

Answer:-5m - 3

Step-by-step explanation:

1) Distribute

3(5m + 2) - 20m - 14 + 5

15m+6 - 20m - 14+5

2) Add the numbers

15m+6 - 20m- 14+5

15m-3 - 20m

3) Combine like terms

15m - 3-20m

Answer

-5m - 3

Hope this helps

Answer:

the bigger the handspan the more jolly ranchers they can pick up with one hand

Step-by-step explanation:

Answer:

See the attachment!

Answer:

8.5 sq cm

Step-by-step explanation:

5x3.4=17÷2=8.5