A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for pi , and round your answer to the nearest tenth.

The x coordinate of point A that is shown on the graph is 3π/16.

From the information given, y = kcos(8x). Also, the axis of symmetry is given as kx.

Therefore, the x coordinate will be:

= π/8 + π/16

The LCM of 8 as 16 is 16.

= 2π/16 + π/16

= 3π/16

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So, we know that:

[tex]A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2[/tex]

We also know that [tex](a+b)^2=a^2+2ab+b^2[/tex]. We will use that fact to find [tex]c[/tex] in terms of [tex]A[/tex] and [tex]P[/tex].

[tex]A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c[/tex]

Therefore:

[tex](P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}[/tex]

Answer:

coz it is

Step-by-step explanation:

the angle is 57° , so y is 63 as 63-6 = 57

Answer:

5 %  

Step-by-step explanation:

3020 *  x    = 151          x is the percentage in decimal form

x = 151 / 3020 = .05    which is 5 %

Answer:

Domain:

X is all the real numbers

or

[tex] - \infty < x < \infty [/tex]

Range:

[tex]y \leqslant 0[/tex]

or

[tex] - \infty < y \leqslant 0[/tex]

Step-by-step explanation:

This is the graph.

The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Distance = average velocity × time

Let the time and distance of the run, respectively, be t₁ and.d₁

Let those of the bicycle race be t₂ and d₂

From the question,

t₁ + t₂ = 5

d₁ = 8t₁

d₂ = 27t₂

Total distance = 97

8t₁ + 27t₂ = 97

8 ( 5 - t₂ ) + 27t₂ = 97

40 - 8t₂ + 27t₂ = 97

40 + 19 t₂ = 97

19t₂ = 57

t₂ = 3 hours

t₁ + t ₂ = 5

t₁ = 5 - t₂

t₁ = 5 - 3 = 2 hours

Now the distances are calculated as:-

d₁ = 8t₁ = 8 x 2 = 16 miles

d₂ = 27t₂ = 27 x 3 = 81 miles

Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

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Answer:

100

Step-by-step explanation:

Answer:

The rate of interest is6.4 %

Step-by-step explanation:

Given : Principal (P) = Rs12500  

         Total amount (A) = Rs16500.

         The time period (t) =5  years

To find : Rate of interest (R) = ?

Solution :

It is given that Principal (P) = Rs. 12500

        Total amount (A) = Rs.   16500

        The time period (t) =5  years  

We have to find rate of interest (R).

We know the formula for simple interest as,

       S.I. = A-P

             = 16500±12500

             = Rs. 4000

Now, to find rate of interest, use the formula for simple interest as

           S.I. =  

          ∴

          ∴ *R

             ∴  

                    ∴  

                       ∴R=6.4  %                          

∴  The rate of interest is6.4 %.

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=250 \end{cases}\implies 250=2\pi r\implies \cfrac{250}{2\pi }=r\implies \stackrel{cm}{39.79}\approx r[/tex]

The proposition given by definition of function "division" is false as [tex]\frac{f}{g} \ne {(1, 2)}[/tex] for the former function f = (9, 5) and the latter function g = (9, 0).

In this question we have a definition of division between two functions, consisting in dividing each component of the ordered pair of the former function (f) by the component of the ordered pair of the latter function (g) such that resulting ordered pair is (1, 2).

We must check if the proposition is true for every ordered pair. Let analyze each case:

Case I

[tex]\frac{f}{g} = \left(\frac{1}{1}, \frac{6}{3} \right) = (1, 2)[/tex]

Case II

[tex]\frac{f}{g} = \left(\frac{9}{9}, \frac{5}{0} \right) = (1, NaN)[/tex]

Thus, the proposition is false.

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Answer:

well i mean it all depends were you live at

Step-by-step explanation:

in new york it will be $36,198. but in California it would be about $31,682 and  Your average tax rate is 16.51% and your marginal tax rate is 24%.  

Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

[tex]\text{Arc length,}~ s = r\theta\\\\~~~~~~~~~~~~~~~~~~=12 \times \left( \dfrac{135\pi}{180} \right)\\\\~~~~~~~~~~~~~~~~~~=9\pi[/tex]

[tex]\sqrt[n]{a^n}=a[/tex], therefore [tex]\sqrt[4]{5^4}=5[/tex].

Answer:

It is 5

Key solutions:

Step-by-step explanation:

Isolate the exponents and remove the square, giving you 5

[tex]\left(\sqrt[4]{5}\right)^4\\=5[/tex]

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

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Answer:

[tex]67\frac{23}{28}[/tex]

Step-by-step explanation:

[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]

The area of the rectangle is equal to 216ft^2.

We have given that,

A flower bed is in the shape of a rectangle.

It measures 7 yards long and 3 yards wide. David wants to use a mulch to cover the flower bed.

The mulch is sold by the square foot.

A yard is equal to 3 feet.

7 yards = 7(3) = 24 feet

3 yards = 3(3) = 9 feet

Area of the rectangle=  Lw

Area of the rectangle= 24(9)

Area of the rectangle= 216 ft^2

Therefore the area of the rectangle is equal to 216ft^2.

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Answer:

3.375 °C

Step-by-step explanation:

Mean temperature for first 7 days = 4 °C

⇒ Total temperature over first 7 days = 4 °C × 7 = 28 °C

Temperature on 8th day = -1 °C

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

Therefore, mean temperature for first 8 days:

= [28 - 1] ÷ 8

= 27 ÷ 8

= 3.375 °C

A number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

In any number, the place value refers to the "place" that a digit has on a number. The first one is the units place, the second is the tens place, and so on.

As more in the left is the place value, the largest value it represents.

Particularly, in 145,317

The 3 is on the third place, so it represents the value 300.

For example, in 143,417

The 3 is more in the left than before, this time on the fourth place, this time the value of the 3 is 3,000.

Then, a number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

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The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.

Quadratic functions are polynomials of grade 2 of the form y = a · t² + b · t + c, where t and y are the time and the height of the ball, in seconds and feet, respectively. To determine the value of the three coefficients we need to know three different points of the form (t, y).

If we know that (t₁, y₁) = (0 s, 0 ft), (t₂, y₂) = (1 s, 16 ft) and (t₃, y₃) = (3 s, 0 ft), then the quadratic function is:

a · 0² + b · 0 + c = 0     (1)

a · 1² + b · 1 + c = 16      (2)

a · 3² + b · 3 + c = 0      (3)

The solution to this system is a = - 8, b = 24, c = 0.

The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.

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Answer:

C

Step-by-step explanation:

Two negatives cancel out and turn into a positive.

In the expression 11 - ( -3 5/8 ) there are two negative signs. If the parenthesis are removed, the two negative signs cancel out and turn into a positive and we are left with 11 +3 5/8

So the answer is C

Answer:

To pull our the first chocolate, it would be a probability of 1/2.

To pull the second chocolate out, it would be a probability of 2/5.

Hope that helps, you just use ratios, the first cupcake needs to be chocolate, and there are 3 chocolate cupcakes out of the 6. Make that into a fraction 3/6, and simplify into 1/2.

The same goes for the second cupcake.

Answer:

[tex]B)~ 3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }[/tex]

Step-by-step explanation:

[tex]3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\\\\\\= 3\sqrt{\dfrac 75} + i\sqrt{\dfrac 95 }\\\\\text{It is now in the standard form of a complex number (a+bi).}[/tex]

Answer:

2 / 36 = 1/18

Step-by-step explanation:

there are 2 ways to get 3

1 then 2 or 2 then 1 , 2 out of a possible 36 outcomes

Answer:

30/48

Step-by-step explanation:

The amount of money Conor should save each month for 5 months is £136.

Division is the mathematical operation that is used to determine the quotient of a number. It involves grouping a number into equal parts using another number.

The amount of money Conor should save each month = total amount needed / number of month

£680 / 5 = £136

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A percentage is a way to describe a part of a whole. The number of people who don't have pets is 50 people.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given at the Red bridge School, 1/3 of pupils have a pet dog 2/5 have cat and 1/15 have a hamster.

A.) Number of people who don't have pets = 1 - 1/3 - 2/5 - 1/15

                                                                        = (15-5-6-1)/15

                                                                        = 3/15

                                                                        = 1/5

B.) Given there are 25 people at the school. Therefore, the number of people who don't have a pet is,

Number of people who don't have pets = (1/5) × 250 = 50

C.) The percentage increase of pupils at the Bluebell School that has no pets compared to the Red bridge School is,

Percentage increase = (23%-20%)/20% × 100% = 15%

Hence, the number of people who don't have pets is 50 people.

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The graph of the linear equation 6x - 2y = 12 would be option C .

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Subtract both sides from 6x, leaving you with the equation:

-2y = -6x + 12

Now, you divide all of the sides by -2,

y = 3x - 6

The graph of the linear equation 6x - 2y = 12 would be option C .

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Answer:

regular pentagon. 2 irregular. 3 irregular. 4 regular octagon. 5 regular nonagon. remember that regular polygon is a polygon that

The volume of water that was displaced is 0. 000019 cubic meters.

Volume is known to be the amount of space or capacity occupied by a three-dimensional solid shape.

It is denoted in cubic units.

The formula for calculating volume is;

Volume = mass ÷ density

Given that mass = 3. 3 Ibs and density = 32. 5Ibs/ ft∧3

Volume = 3. 3 ÷ 32. 5 = 0. 10 Ibs

How to covert Ibs to cubic meters

Ibs = 0. 00019 m∧3 (cubic meters)

Then, 0. 10 Ibs = 0. 00019 × 0.10 ÷ 1 = 0. 000019 cubic meters.

Therefore, the volume of the water displaced is 0.000019 cubic meters.

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The true statement is the correlation is most likely due to a lurking variable.

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when there is an inverse relationship between the two variables. If one variable increases, the other variable decreases.

Assume that the store is located near a school where the students live on an allowance. So, students do not have time to buy both computers and microwaves. When students buy computers they do not have enough money to buy microwaves. This explains the negative correlation.

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