9. The figure below is made up of a rectangle and a semicircle.
What is the area, in square feet, of the figure? (Use = 3.14)
54
68.13
72.84
92.76

An equation is formed of two equal expressions. The equation of the perpendicular bisector is y=(1/3)x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of the line that passes through  (2, 4), (3, 1), and (4,-2), are,

m = (4-1)/(2-3) = 3/-1 = -3

Since the product of the slope of two perpendicular lines is -1. The slope of the perpendicular line is,

m₁m₂ = -1

(-3) m₂ = -1

m₂ = 1/3

Since the line is the perpendicular bisector it will pass through midpoint,

1 = (1/3)(3) + C

1 = 1 + C

C = 0

Hence, the equation of the perpendicular bisector is y=(1/3)x.

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Answer:

24/25

Step-by-step explanation:

96%=0.96. 96/100=48/50=24/25

Step-by-step explanation:

it is very simple :

the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.

the x coordinate of the midpoint is

(0 + 10)/2 = 10/2 = 5

the y coordinate of the midpoint is

(-2 + -6)/2 = -8/2 = -4

Based on the amount being deposited into the account each month, and the interest, the account will triple in value on 25 months..

First find the value of the account when tripled:

= 1,000 x 3

= $3,000

We can then use a spreadsheet to find the number of periods it will take to triple.

Convert the interest to a monthly figure as:

= 3.15% / 12

= 0.2625%

When you put the figures into the spreadsheet as shown, the number of months would be 25 months.

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Answer:

Step-by-step explanation:

We'll look for an equation with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0.

A line parallel to y=3x+6 will have the same slope, 3.

We can write y=3x+b.  Any value of b can be used to generate a parallel line.  

If we want that line to go through a specific point, such as (0,-2), we need to find a value of b that shifts the line so that it includes (0,-2).  This can be done by using that point in the equation y=3x+b:

y=3x+b

-2=3*(0)+b  for point (0,-2)

b = -2

The equation becomes y=3x-2

See the attached plot.

===========================

Do that same thing for the remaining two points.  

For B:  (2,5) The equation is y=3x-1

For C:   (4,1) The equation is y=3x-11

Answer:

X=-46

Step-by-step explanation:

-(-46-10)

-(-56)

56 degrees

The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know that:

P + Q are complementary, which means that

P+Q = 90°

Then R is a right angle, i.e. it measures 90°.

sin(90-x) = cos (x)

cos(90-x) = sin (x)

Then sinQ = 4/5  

cos(90-Q) = cosP = 4/5

Now sin²(P) + cos²(P) = 1

sin²(P) = 1 - cos²(P)

sin²(P) = 1 -[4/5]² =9/25

sin(P) = 3/5

cos(Q) = sin(P) = 3/5

cos(P) + cos(Q) = 4/5 + 3/5 = 7/5

Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

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The correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].

The complete question is attached with the answer below:-

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

As we can see from the figure that ∠L = 70 and ∠M = 20 We can see that the length LN will be calculated as:-

Cos 70 = Base / Hypotenuse

So for an angle of 70, the base is LN and the hypotenuse is equal to 8 units.

Cos 70 = LN = 8

Therefore the correct answer is option E which is Cos ( 70 ) = [tex]\dfrac{LN}{8}[/tex].

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Answer:

A & E

Step-by-step explanation:

Jus took it on edge

Answer:

To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a.  If [tex]a < 0[/tex], the parabola is also reflected in the x-axis.

To graph [tex]y=ax^2[/tex], you stretch or compress the graph of [tex]y=x^2[/tex] vertically by a factor of a.  If [tex]a > 1[/tex] or [tex]a < -1[/tex], the graph is stretched vertically by a factor of a.

To graph [tex]y=(x-h)^2[/tex], you translate the graph of [tex]y=x^2[/tex] horizontally h units.  If [tex]h < 0[/tex], the graph is translated h units to the left.

#39

Then

The parabola is reflected about x axis

#40

a>1 or a<-1

Theis should be vertically streched by factor a

*41

horizontal translation=hunits

So the graph is shifted h units left

Answer:

s=0.20p

Step-by-step explanation:

20% off an product means to subtract 20% of the original price from the original price.

Answer:

7/10

Step-by-step explanation:

As the sample size increases, the margin of error decreases.

A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.

From the formula:

MOE = z × √σ²/n

Where

σ = standard deviation

z = quantile

n = sample size

MOE = margin of error

From the formula, sample size is inversely proportional to the margin of error.

Hence, as the sample size increases, the margin of error decreases.

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Answer:

16/25 or 0.64

Step-by-step explanation:

First we separate the 5 from 5√x :

4 = 5×√x

Now we divide both sides by 5 :

4/5 = √x

Now we square both sides :

(4/5)² = x

Simplify :

16/25 = x

0.64 = x

Hope this helped and brainliest please

Answer: the answer is C

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to describe the graph shown in the attached picture.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Please see below! ^^

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.

[tex]\underline{\rule{50}{1}}[/tex]

Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.

One down, three to go! ^^

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph

[tex]\underline{\rule{50}{1}}[/tex]

Since a horizontal line touches the graph more than once, this function is not one-to-one.

Option B. isn't right either.

Two down, two to go! ^^

However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.

So I choose Option C.

Let's ensure our answer is correct by checking the last option:

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.

[tex]\underline{\rule{50}{1}}[/tex]

As we can see, the given graph is not a staight line; thus, Option D. is also wrong.

Thus, Option C. is the correct answer.

Hope it helps you out! :)

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

5 units

Step-by-step explanation:

Use Pythagorean Theorem

x = 4 units     y = 3 units

4^2 + 3^2 = L^2

16 + 9 = L^2

L = 5

Answer:

5 units

Step-by-step explanation:

By the Pythagorean theorem:

c² = a² + b²

c = length of the line

a = 4

b = 3

Then:

c² = 4² + 3²

c² = 16 + 9

c² = 25

√c² = √25

c = 5

Answer:

8+3+7=18

probability of brown m&m is

[tex] \frac{3 }{18 } [/tex]

The exact value of the y in the similar right triangle is 2.2360679775 units

The triangles are similar.

Similar triangles have corresponding sides of equal ratio.

The corresponding angles of similar triangle are equal.

Therefore, using similar ratio,

y / 5 = 1 / y

cross multiply

y × y = 5 × 1

y² = 5

square root both sides

y = √5

Therefore,

y = 2.2360679775 units

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Answer:

Step-by-step explanation:

Givens

Observe the small triangle at the right. The smallest side is one.

The hypotenuse is y

In the largest tringle, the hypotenuse is 5

The smallest side is y

You can set up a ratio for this situation

Equation

smallest side -  smallest triangle       Largrest triangel -- largest side

============================         =========================

hypotenuse - smallest triangle            hypotenuse -- largest triangle

1/y = y / 5                   Cross Multiply

Solution

y^2 = 1*5                    Take the square root of both sides.

√y^2 = √5

y = √5

or

y =

All options except Option D , a² + b²  , is the square of the binomial.

A polynomial that contains only two term is called a Binomial.

The sum of square of a binomial is the sum of square of the first term , square of second term and twice of the product of the first and second term.

(a+b)² = a² +b² +2ab

(a-b)² =  a² +b²-2ab

The options have to be broken down into this form to check whether they are square of a binomial

Option A : 4m² - 6mn + 9n² = (2m -3n)²

Option B:  16x² + 24xy + 9y²=(4x+3y)²

Option C : c²- 2cd - d²=(c-d)²

Option D : a² + b² cannot be written as the square of binomial.

All options except Option D is the square of the binomial.

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Answer: [tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

Step-by-step explanation:

this forms a 30 degree reference angle

and this is in the 4th quadrant

When the angle is 30 degrees, the coordinates are:

[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 330° and the radius is one. Then we have

x = 1 x cos 330°

x = (√3) / 2

y = 1 x sin 330°

y = - 1/2

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

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Answer:

no real roots

Step-by-step explanation:

Find discriminant of quadratic equation:

A

= 62 - 4aC

2 Identify a,b,c

Identify a,b,c through coefficient:

a

b

C

6

= 12

8

Substitute and calculate

Substitute the value of a,b,c and calculate

discriminant (b2 - 4ac) :

-48

Determine number of solution Determine number of solution with

discriminant:

no real roots

The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.

From the question, we have:

Andrea = h

Hannah = 3h

This means that:

Hannah = 3 * Andrea

So, the relationship is that Hannah sold three times as many tickets as Andrea.

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Answer:

a, b, d, e

maybe c

Step-by-step explanation:

Answer:

13.5 inches

Step-by-step explanation:

3inches:10 miles

x inches: 45 miles

do cross multiply:

3*45=135

10*x=10x

so 135=10x

x=13.5 inches

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

≥

9

Interval Notation:

[

9

,

∞

)

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

the sign only flips when there is a negative number.

i hope this is correct

The data display that  is best for Anne's purpose is: D. a histogram, because the bars show the frequency of data points within different ranges.

Histogram is a graph that help to  the following into different rages

Based on the data given Anne should make us of histogram based on the fact that the graph shows the frequency of the data points that are within different ranges.

 Therefore the correct option is D.

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Answer:

the value of x is 12 and the measure of angle MNQ is 23

5x² + 3x + 6 is the only trinomial from the given expressions

An expression is combination of variables, numbers and operators.

A trinomial is a polynomial with three terms. In the given options, we need to identify the expression that has exactly three terms.

√11x - 7, has two terms: √11x and -7.

It is not a trinomial because it doesn't have three terms.

x - 1, has two terms: x and -1.

It is not a trinomial for the same reason as option OA.

2x + 4, has two terms: 2x and 4.

It is not a trinomial because it doesn't have three terms.

5x² + 3x + 6, has three terms: 5x², 3x, and 6.

It fits the definition of a trinomial because it has three terms.

Therefore, 5x² + 3x + 6, as it is the only expression among the options that is a trinomial.

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