a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.

"Extend the domain of the trigo functions using the unit circle" Cluster A.

The following steps can be used to calculate the sine and cosine of any angle thetatheta and allow us to extend the domain of sine and cosine to any real numbers:

Move counterclockwise around the unit circle starting at (1, 0), (1, 0), (1, comma, 0, right parenthesis, until the angle created by your position, the origin, and the positive xxx-axis equals thetatheta.

The yyy-coordinate of your point is equal to sin(theta)sin(theta)sine, and the xxx-coordinate is equal to cos(theta)cos(theta)cos(theta)cosine, left parenthesis, theta, right parenthesis.

There are several references to and issues with in the worlds of calculus, pre-calculus, and trigonometry.

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The calculated mean age of Regina's brothers is 7. This is being attained by using the concept of measure of central tendency i.e. mean.

What is a mean?

Mean is interpreted as the total of all values divided by the total number of values. It is also called a mathematical average. There are three types of mean namely, arithmetic, geometric and harmonic mean.

Calculation of the mean age of Regina's brothers

Total number of Regina's brothers = 5

Sum of their ages = 4 + 6 + 6 + 9 + 10

= 35

Mean age = sum of their ages / total number

= 35 / 5

= 7

Hence, the calculated mean ages of Regina's brothers is 7

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The blank will be filled with 15.

The Bodmas rule is arranged according to the letters in the acronym BODMAS, which stand for brackets, position of power or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BODMAS rule, multi-operator mathematical equations must be resolved in the BODMAS order from left to right.

The explanation goes like:

45 ÷ 3 = ( 30 + 15 ) ÷ 3

= 30 ÷ 3 + 15 ÷ 3

= 10 + 5

= 15

Hence the answer is 15.

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Answer:

296

Step-by-step explanation:

Use long division.

      296

21 |6216

  -42
     201
     -189

       126
       -126

          0

Hope this helps!

Answer: 5.9646399e+21

In a heptagon, the sum of all seven angles is 900 degrees. If you add up the four given angles you will get 600 degrees. In the question it says, "the remaining interior angles are EQUAL" so therefore, the only way to get from 600 to 900 from the remaining three angles is 100. Each remaining angle is 100 degrees

Answer:

Heptagons are known to have seven interior angles that add up to 900°, so we must find the last 3. First, add the first four they gave us.

[tex]160\circ + 130\circ = 290\circ\\= 290\circ + 170\circ + 140\circ\\170\circ + 140\circ = 310\circ\\= 290\circ + 310\circ\\= 600\circ[/tex]

We now know that the remaining angles are all 100°, because the question mentions the rest of the interior angles being equal. The only reasonable 3 equal numbers to add up to 900° would be three 100s in this case.

The equation of the circle can be given by: (x - 8)² + (y - 5)² = 9.

The equation for a circle in standard form is (x - x1)² + (y - y1)² = r², where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's center.

Now,

=> (x - 8)² + (y - 5)² = 9

Hence, the equation that describe the circle of radius 3 centered at (8, 5, 6) that is parallel to the xy-plane is given by: (x - 8)² + (y - 5)² = 9

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According to the given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

The correct option is D.

A conversion factor is a quantity that is used to multiply as well as divides one set of units by another. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches to feet, for example, the suitable conversion value is 12 inches equal 1 foot.

Conversion KPIs are critical for determining the efficacy of marketing campaigns. Only by measuring how many users convert as a result of that spend can you calculate your ROAS.

We are given an amount of 350 milliliters and asked to convert it to liters.

We know that :

1 liter = 1000 milliliters

We are given an amount of 350 milliliters and asked to convert it to liters.

1 liter/x liter = 1000/350

x = 350/1000

x = 3.5 x 10⁻¹

The given information the measurement is equivalent to 350 milliliters =  3.5 x 10⁻¹.

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I understand that the question you are looking for is:

Which measurement is equivalent to 350 milliliters?

A. 3.5 × 102 liters

B. 3.5 × 101 liters

C. 3.5 × 10–2 liters

D. 3.5 × 10–1 liters

Answer:

823543 Or 7^7

Step-by-step explanation:

Sorry for taking so long :/

Step-by-step explanation:

*Four times the difference of a number and 7 is 32*

Answer-

4(x-7)=32

ten increased by the quotient of a number and 2 is 15-

Answer-

10+(x/2= -15

or

10+x/2=-15

anyone of them

Answer:

161 degrees since 180 - 19 would be 161 since they are supplementary if they are

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2 - y)(3y + 8) = 0

2 - y = 0

y = -2

3y + 8 = 0

y = -8/3

Answer: 20

Step-by-step explanation:

2x7 + 2x3=

2*7 + 2*3=

14+6=20

Answer: T (4,4)

Step-by-step explanation:

The total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

To calculate time:

To calculate the total number of times the heart of human beats in an average lifetime of 89.3 years,

In 89.3 years, we will calculate the number of minutes.

Because there are 69.6 heartbeats per minute

Then,

There are 46968228 heartbeats in 46968228 minutes.

Therefore, the total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.

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The correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.

As given in the question,

Given exponential expression is equal to 3⁵

General form of exponential expression is given by  aˣ

a is the base and x is the exponent

This means 'x' times ' a ' is multiplied to ' a '

Compare 3⁵ with general form

3 is base

5 is exponent

This means '5' times ' 3 ' is multiplied to '3'

3⁵ = 3.3.3.3.3

Therefore, the correct product of the exponential expression 3⁵ is equal to 3.3.3.3.3.

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Answer:

15

Step-by-step explanation:

x+x+1+x+2+x+3=66

simplify into 4x+6=66

subtract 6 from both sides to get 4x=60

divide both sides by 4 to get x=15

The age of Bashir is 15 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the consecutive age be x, x+1, x+2 and x+3.

Now, sum of their ages is 66

So, x+ x+1 + x+2 + x+3 = 66

Simplifying for x, we get

4x+6=66

subtract 6 from both sides

4x=60

divide both sides by 4

4x /4 = 60/4

x= 15

Hence, Bashir age is 15 years.

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Answer:-12

Step-by-step explanation:

Im going to assume that x2 means x squared.  You can just substitute "x" for 5.  3(5-4)+2(5)-5^2.  First parenthesis equals 3(1)+10-5^2.  Then it equals 3+10-5^2.  So then it would be 13-5^2.  5^2 equals 25.  so it would be 13-25. Which equals -12.

70 simple random samples of size 4 can be selected from a population of size 8

According to the question, samples of size 4 have to be selected from a population of size 8. The selection can be made in

8C4 ways.

Selection=8C4=8!(8−4)!4!

Selection=8!(8−4)!4!

Selection=8×7×6×5×4!4!×4×3×2

Selection=2×7×5

Selection=70

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The equation will be: 4.65r + 4.95p = 874.80

The total cost of gas will be sum of the individual costs of both the types of gas. Firstly, calculating cost of regular and premium gas followed by forming the equation.

The total cost of regular gas = Amount of regular gas × Cost of regular gas per gallon

The total cost of regular gas = 4.65 × r

The total cost of premium gas = Amount of premium gas × Cost of premium gas per gallon

The total cost of regular gas = 4.95 × p

We are given overall spending = 874.80

Forming the equation -

Total cost of regular gas + total cost of premium gas = overall spending on gas

4.65r + 4.95p = 874.80

Hence, the equation that models the situation is 4.65r + 4.95p = 874.80.

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Answer:

Step-by-step explanation:

1/6

Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.

For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:

$90.93/7 = $12.99.

The cost of 5 t-shirts will be given by:

5 x 12.99 = $64.95.

Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:

64.95 x 8.6964 = 564.83 Kronas.

The cost of the 5 t-shirts would be of 564.83 Kronas.

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After buying tickets and drinks the total cost is 29.18 and using 5.00 off coupon, the cost of one drink is 11.59

As per the question statement, 2 tickets cost 11.00 and they bought 2 drinks and used a 5.00 off coupon. The total cost was 29.18. We are supposed to find out the cost of one drink.

Let the cost of one drink be "x"

Cost of 2 tickets = 11

Off coupon is of 5.00

Cost of two drinks = [tex]2x[/tex]

Total money paid = 29.18

Hence, [tex]11+2x-5=29.18\\2x=29.18+5-11=23.18\\x=\frac{23.18}{2} \\x=11.59[/tex]

Therefore the cost of one drink is [tex]x=11.59[/tex]

This question was a classic example of how to form equations when all the given conditions are in statements.

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Answer:11

Step-by-step explanation:

Answer:

11 units

Step-by-step explanation:

use the absolute value function to find the difference between A and E

A = - 6 , E = 5 , then

AE = | - 6 - 5 | = | - 11 | = | 11 | = 11

or

AE = | 5 - (- 6) | = | 5 + 6 | = | 11 | = 11

If Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

Given,

The total invested amount = $8000

Consider the amount invested at 5% simple interest as x and the amount invested at 6% simple interest as y

Then, the equations will become

x + y= 8000

x = 8000-y

At the end of one year the investment = $454

0.05x + 0.06y =454

Substitute the value of x in the equation

0.05(8000-y) + 0.06y =454

400-0.05y+0.06y =454

0.01y+400=454

0.01y =54

y = 5400

Substitute the value of x in

x + y = 8000

x+5400=8000

x=8000-5400

x=2600

Hence, if Katie invested a total of $8000, part at 5% simple interest and  part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest

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Answer:

71°

Step-by-step explanation:

A supplementary angle is the sum of two angles whom are less than 180 degrees, yet the sum will only be 180 degrees. Because we are finding the supplement angle, we must subtract.

[tex]\sf Long\:Subtraction\\9\:doesnt\:go\:into\:10,borrow\:1\\= 10\\= 10 - 9\\= 1\\8\:cant\:go\:into\:0,take\:1\:since\:you\:just\:borrowed\\= 7\\= 7 - 0\\= 7\\1 - 1\\= 0\\\\= \boxed{71}[/tex]

➲ Hope this helps.

The correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

From the question, we are to determine the correct symbols that complete the given statements

The given statements are

h(0) ___ g(0)

and

h(1) ___ g(1)

To complete the statements, we will find the values of the given functions from the graph

From the graph of h(x), we can observe that

h(0) = 4

and

From the graph of g(x), we can observe that

g(0) = 4

Thus,

The two functions are equal

h(0) = g(0)

Also,

From the graph of h(x),

h(1) = 3

and

From the graph of g(x),

g(1) = 2

That is, h(1) is greater than g(1)

Thus,

h(1) > g(1)

Hence, the correct symbols that complete the statements are

h(0) = g(0)

h(1) > g(1)

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Answer:

The x is how much hours the job takes,

You can see that 25 is a fixed fee which is why there is no x attached to it, and 50 is the variable that can change, hope that made sense!

Step-by-step explanation:

^^^

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)