“A falcata is formed by taking a quadrant of a circle and removing a semicircle from it (see diagram).If the radius of the original circle is 2 units long, find the exact area of the falcata.”hello!! please help me out! i’m begging. this assignment is kicking my teeth in!!

You will arrive at Myers fla by 9:30 am

Answer:

x = 1 ± √3

Step-by-step explanation:

    x² - 2x - 2

Co-efficient of x² = a = 1

Co-efficient of x = b = -2

Constant = c = -2

 D = b² - 4ac

     = (-2)² - 4 *1*(-2)

     = 4 + 8

     = 12

       [tex]\sf x = \dfrac{-b \ \± \sqrt{D}}{2a}[/tex]

           [tex]\sf = \dfrac{2 \ \± \sqrt{12}}{2*1}\\\\\\=\dfrac{2 \± \sqrt{2*2*3}}{2}\\\\\\= \dfrac{2 \±2\sqrt{3}}{2}\\\\\\= \dfrac{2}{2} \± \dfrac{2\sqrt{3}}{2}\\\\\\= 1 \± \sqrt{3}[/tex]

[tex]\sf x = 1 + \sqrt{3} ; \ ; or \ x = 1 - \sqrt{3}[/tex]

The remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

As given in the question,

Dividend of the given division is equal to :  ( x³+5x²−32x−7 )

Divisor of the given division is equal to : ( x−4 )

Divide the given dividend ( x³+5x²−32x−7 ) by divisor  ( x−4 ) remainder we get,

( x³+5x²−32x−7 )

= x³ -4x² +9x² -36x +4x-16 +9

= x²(x-4) + 9x (x-4) +4(x-4) + 9

= (x-4)(x² +9x +4) + 9

Quotient is equal to (x² +9x +4)

Remainder is equal to 9

Therefore, the remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

Learn more about remainder here

brainly.com/question/9160275

#SPJ1

Answer:

1 4/10

Step-by-step explanation:

3 1/2 turns into 3 5/10 minus 4 9/10 blah blah blah anyways yeah

The rate of change in enrollment from 2010 to 2020 is -53 students per year.

Interpretation:

A negative rate of change (-53 students per year) means that the enrollment in the school decreased over the 10-year period from 2010 to 2020. On average, the school lost 53 students per year during this time frame. This decline in enrollment may have implications for the school's resources, budget, and programs, as it indicates a reduction in the student population over the given period.

Here, we have,

To find the rate of change in enrollment from 2010 to 2020, we can use the formula for calculating the rate of change:

Rate of change = (Change in enrollment) / (Time interval)

Where:

Change in enrollment = Enrollment in 2020 - Enrollment in 2010

Time interval = Year in 2020 - Year in 2010

Let's calculate the rate of change:

Change in enrollment = 715 - 1245 = -530

Time interval = 2020 - 2010 = 10 years

Rate of change = (-530) / 10 = -53

The rate of change in enrollment from 2010 to 2020 is -53 students per year.

Interpretation:

A negative rate of change (-53 students per year) means that the enrollment in the school decreased over the 10-year period from 2010 to 2020. On average, the school lost 53 students per year during this time frame. This decline in enrollment may have implications for the school's resources, budget, and programs, as it indicates a reduction in the student population over the given period.

To learn more about rate of change refer to :

brainly.com/question/25184007

#SPJ12

Answer:

1. False, 2. False, 3. False

Step-by-step explanation:

The missing co-ordinate r = 8

(6,9) and (r,-1) are two points on a line whose slope is given as -5.

Slope of a line is the change of y co-ordinates divided by the change in x co-ordinates between two points on a line.

Take (x₁, y₁) = (6,9) and (x₂, y₂) = (r, -1).

The slope of a line is given by,

Slope, m = (y₂-y₁)/ (x₂-x₁)

⇒  -5 = (-1-9)/(r-6)

⇒ -5 = -10/(r-6)

⇒ 1 = 2/(r-6)

⇒ r-6 = 2

⇒ r = 2+6

⇒ r = 8

So the points are (6,9) and (8,-1).

Learn more about slope at https://brainly.com/question/3493733

#SPJ1

If the company earned a total of $37,500 in interest last year, how much cash did they keep in the bank is; $937,500.

This is about the concept of compound interest which is defined as the interest on savings that is calculated on both the initial principal and the accumulated interest from previous periods.

From the question, let us make x to represent the amount of cash.

Now, we are told that one portion of it pays 0.5%and as such this will be 0.005x.

Now, the other portion pays 3.5% and as such this is 0.035x.

Combining both knowing that the total the company earned in the last year was $37,500 and we have;

0.005x + 0.035x = 37500

0.040x = 37500

Solve for x to get;

x = (37500)/(0.04)

x = 937500

Therefore, the company started with $937,500.

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

#SPJ1

The measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called vertex of that angle. Those two line segments forming it are called arms of that angle. The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

Given that the angle L M N the measure of angle L is equal to the measure of angle M.

∠L = ∠M

Also, the measure of angle N is twice the measure of angle M.

∠N = 2∠M

The measure of each angle in angle L M N would be;

∠L + ∠M + ∠N = 180

∠M + ∠M + 2∠M = 180

4∠M = 180

∠M = 180/4

∠M = 45

∠M = ∠L = 45 degrees

∠N = 2 x 45 = 90

Therefore, the measure of ∠M and ∠L is 45 degrees. then the measure of ∠N  is 90 degrees.

Learn more about angles here:

https://brainly.com/question/27458498

#SPJ1

The standard equation is 7x + y = 9

layoff Ax + By = C is the usual form for two-variable direct equations. A standard form direct equation is, for case, 2x + 3y = 5. When an equation is given in this format, chancing both intercepts is rather simple( x and y). When trying to break systems involving two direct equations, this form is also relatively helpful.

Given

7x + 3 = 5 and y - 1 = 6

Add the bottoms from the two given equations to produce a single standard-form equation.

By shifting the constant fromR.H.S. toL.H.S., the equations are reset to zero.

7x + 3 - 5 = 0

7x - 2 = 0----( 1)

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0-----( 2)

Equation 1 and equation 2 must be combined.

7x - 2 + y - 7 = 0

7x + y - 9 = 0

layoff Ax + By = C is the equation's conventional form.

A, B, and C are integers and x and y are variables in this type of equation.

Accordingly, the common equation is

7x + y - 9 = 0

7x + y = 9

therefore the standard equation is 7x + y = 9

To know more about Standard Equation, refer to this link:

https://brainly.com/question/16601835

#SPJ1

An integer is any number that contains both positive and negative numbers, including zero. The change in elevation exists 14 feet per second.

An integer is any number that contains both positive and negative numbers, including zero. It does not contain fractional or decimal parts.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

A parachutist descends 70 feet in 5 seconds.

To find this simply divide the numbers as shown: 70 feet in 5 seconds

70 / 5 = 14 seconds

Therefore, the change in elevation exists 14 feet per second.

To learn more about integer refer to:

https://brainly.com/question/17383603

#SPJ13

Answer:

39800

i hope that this helps you

The value of p from the given equation is 136.

The given equation is p/4 - 15 = 19.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is solved as follows:

Transpose -15 to other side of the given equation

That is, p/4 = 19+15

⇒ p/4 = 34

Cross multiply 4 to 34

We get p = 34 × 4

⇒ p = 136

Therefore, the value of p from the given equation is 136.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

Answer:

x = 10

Step-by-step explanation:

The internal angles of a triangle sum 180°

74° + 45°+ (8x-19)° = 180°

119 + 8x - 19 = 180

119 - 19 + 8x = 180

100 + 8x = 180

8x = 180 - 100

8x = 80

x = 80/8

x = 10

Check:

74 + 45 + (8x-19) = 180

1100 + 8*10 = 180

100 + 80 = 180

Answer: -2Ix-5I - 7

Step-by-step explanation:

all you need to do is Multiply the entire equation by -1

answer: 3 to 5 = 6 to 10 = 9 to 15

so the answer would be 6 raisins

Answer:

3x+4x=10x=10/7=1.42

Step-by-step explanation:

3x+4x=10x

7x=10x

10/7=

1.42

Answer:

3/2

Step-by-step explanation:

Kelvin should fasten each piece of wood approximately 7.1 from the corner.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

a² + b² = c²

a = b

So,

2a²  = c²

a² = 100/2

a = [tex]\sqrt{50}[/tex]

a = 7.1

To know more about Pythagoras theorem ,visit:

brainly.com/question/343682

#SPJ13

Answer: can you guys help me too

Step-by-step explanation:

Together, Nora and Addison own 152 shares of stock.  Nora has 4 less than three times Addison's amount.  How many shares does each girl have?

[tex]=\sqrt{(x_{2} -x_{1})^{2}+(y_{2}-y_{1} )^{2} }\\ =\sqrt{(4-2)^{2}+(-3-(-3))^{2} } \\=\sqrt{(2)^{2}+(-3+3)^{2} } \\=\sqrt{4+0^{2} } \\=\sqrt{4} \\=2[/tex]

the distance is equal to 2

I also provided you with the formula for future use.

Answer:

D) 5

Step-by-step explanation:

we see that every 4 hours 20 miles are traveled.

so, the rate of change of miles travels over hours is

20/4 = 5/1 = 5

in other words, the speed was 5 mph.

Answer:

840 minutes or 14 hours

Step-by-step explanation:

30 min x 28 days = 840 min

:]

Answer: 14 Hours or 840 mins

30 × 28 = 840 mins = 14 hours

Answer:

Step-by-step explanation:

-k-(-8k)

When there are 2 negatives, it becomes a plus. So, -(-8k) would become    

+(8k).

So, -k-(-8k):

-k+8k      Open parentheses and then subtract because there is a negative.

7k Answer.

I hope this clears things up a little!

The statement that is true about what D’Neese said is (d) D’Neese is incorrect because a^-n = a/-n

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation statement is given as

1/10^5 is equivalent to 10^5

The above statement can be rewritten in another way

So, we have the following equation

1/10^5 = 10^5

As a general rule of indices, we have the following exponent rule

So, we have the following equation

1/a^n = a^-n

This means that the equation statement is false

This is so because

1/10^5 is not equivalent to 10^5, instead 1/10^5 is equivalent to 10^-5

Hence, the true option about the statement is (d)

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

Answer:

I don't think so, but maybe Prodigy has a game level for high schoolers. You could try searching Gooogle for it, but other than that, I don't think Prodigy does high school math games.

Step-by-step explanation:

Answer: So just ask them

Step-by-step explanation:

So like first tell your teachers and say "hey there mother clunker. Can we play prodigy?". and if they say "Nah fam we're in high school not trashy middle school or elementary school.". You say "SHUT YO PASTEY BUTT UP IM THE ALPHA MALE AND YOU SHOULD RESPECT ME. NOW TELL ME. CAN I PLAY PRODIGY?". If you do say that the teacher will always say "yes yes pls don't hurt me." then you get to play prodigy. Thank me.

The relation that represents a function is the mapping in: B.

A relation is defined as a function if each of the x-value (domain element of input) in the relation corresponds to exactly one y-value (range element of output).

The relation in option A is not a function because it has two different y-values, 7 and 5 that corresponds to an x-value, 6. The relations in option C and D do not represent a function also.

The mapping in option B shows a relation where each x-value (domain element) is related or corresponds to only one y-value (range element). Therefore, it is a function.

Learn more about function on:

https://brainly.com/question/10439235

#SPJ1

The length of the segment MF will be 6 units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that M is the midpoint of CF for the points c(4,10) and f(10,10). To calculate the segment MF first let us calculate the midpoint M.

M = [ ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2 ]

M = [( 4 + 10 ) /2 , ( 10+10 ) / 2]

M = ( 7, 10)

The length of the segment MF will be:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

D = √ [ ( 10-10 )² + ( 10 - 4 )² ]

D = √36

D = 6

Therefore, the length of the segment MF will be 6 units.

To know more about coordinate geometry follow

brainly.com/question/18269861

#SPJ1

is wine sir jacque the a beauty for the universe and