sin^6 theta - cos^6 theta = ( 1-2cos^2 theta) (1- sin^2 theta .cos^2 theta )​

Answer:

1/6, 7/18, 4/9, 5/6, 5/9, 5/9

Step-by-step explanation:

The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F

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

A number line is a straight line with numbers placed at equal intervals.

Let x represent the temperature in degrees Fahrenheit, from the number line:

x < 69°F

The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F

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The proportional graph that corresponds to the situation is: Graph C.

A proportional graph is a straight line graph with a constant of proportionality, k = y/x. The equation of the graph is defined as, y = kx.

The equation, M = 3n, has a constant of proportionality as, k = 3.

In graph C, using a point on the line, (400, 1,200), the constant of proportionality, k = 1,200/400

k = 3.

Therefore, the answer is: C.

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The kind of statistics that provides a description that illuminates some characteristic of a numerical dataset and has an estimate is called descriptive.

Descriptive statistics is a branch of statistics field that sheds light on a given feature of datasets.

Descriptive statistics uses numerical coefficients to analyze datasets that may represent the overall population or only a sample.

In conclusion, the statistics that provides a description that illuminates some characteristic of a numerical dataset is called descriptive.

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The given system of equation has no solution.

The set of equation that have common solution is called the system of equation

The equation given are

- 7x + 7y = 7

2x - 2y = -18

On simplifying the equations

- x + y = 1

x - y = -9

On adding these equations there is no solution

as

[tex]\rm \dfrac {a_1}{a_2 } = \dfrac{b_1} {b_2} \ne \dfrac{c_1}{c_2}[/tex]

The given system of equation has no solution.

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Answer: 30506.49303

Step-by-step explanation:

The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°

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

Sine rule is used to show the relationship between the sides and angles of a triangle.

In the triangle XYZ:

∠X + ∠Y + ∠Z = 180° (sine rule)

22 + 39 + ∠Y = 180

∠Y = 119°

Using sine rule:

XY / sinZ = XZ / sinY

XY / sin(39) = 29 / sin(119)

XY = 20.9

Also:

YZ / sinX = XZ / sinY

YZ / sin(22) = 29 / sin(119)

YZ = 12.4

The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°

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The cooper's weight as an adult dog will be 90 pounds.

Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.

A typical method for calculating a percentage is the formula shown below:

Calculation for the weight of Cooper as an adult;

Cooper's present weight is 20 pounds.

He will weigh about 350% as much as his current weight.

Calculate 350% of 20 pounds.

= (350×20)/100

= 70

The increment of the weight of Cooper will be 70 pounds.

Thus, the total weight is 20 + 70 = 90.

Therefore, the weight of Cooper after 350% as an adult would be 90 pounds.

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The value of ∠NLM = 29 degree

A triangle is a polygon with three sides , angles and vertices.

It is given that a Δ LNM is cut by a bisector

The bisector forms a right angle at the base and splits in tnto two congruent lengths

LN = NM

∠LNM = 6x +1

∠NML = 4x -11

∠NLM = ?

∠NLM =∠NML  = 4x -11

as 6x +1 is the value of the angle bisector

By the angle sum property

4x -11 +4x -11 + 12x+2 = 180

20x = 200

x = 10

The value of ∠NLM =

4x - 11 = 4 * 10 - 11 = 29 degree

Therefore the value of ∠NLM = 29 degree

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Answer: A.) ✔ 29 degrees

Step-by-step explanation: i hope this helps :)

Answer:

x = 90

Step-by-step explanation:

In this figure the exterior angle is 130°

An exterior angle is the sum of the interior angles. The interior angles are x and 40 so x + 40 = 130 giving x = 130-40 = 90

Answer:

∠ x = 90°

(90 degrees)

Step-by-step explanation:

When two angles combine to make a straight line, we know that their angle values must add up to 180

Here, we can see that 130 combines with an inner angle to form a straight line. (I will be calling this interior angle z )

So, 130 + z = 180

   130 + z = 180

 - 130        -130

   z = 50

We also know that all angles in a triangle must add up to 180 degrees, and because we know the two other angles of our triangle now, we can find x

z + x + 40 = 180

50 + x + 40 = 180

90 + x = 180

- 90           -90

x = 90

So, the measure of angle x is 90°

hope this helps!! have a lovely day :)

[tex]\rm y\ \le2x+1[/tex] , [tex]\rm y\le-x+3[/tex]  , Option B represents the the graph given .

An Inequality is a statement that connects two algebraic expression by an inequality operator.

To determine the solution of the inequalities , the common area that comes under the inequality will be found

The graph plotted using

y ≥ 2x +1 and y ≥ - x+3

it doesn't represent the solution as given in the question graph , graph no.1

The graph given in the question is the solution of the  set of inequalities

This can be understood by Graph 2

[tex]\rm y\ \le2x+1[/tex]

[tex]\rm y\le-x+3[/tex]

As all the inequalities of all the options were plotted  and the solution to the system of inequality is represented by the graph

Therefore Option B is the correct answer.

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Answer: [tex]57^{\circ}[/tex]

Step-by-step explanation:

[tex]\triangle ACB \cong \triangle DBC[/tex], so by CPCTC, [tex]x=57^{\circ}[/tex]

1) given

2) definition of an angle bisector

3) reflexive

4) [tex]\triangle ABD \cong \triangle CBD[/tex] (ASA)

5) [tex]\angle A \cong \angle C[/tex] (CPCTC)

Answer:

last choice

angle 1 and 7 are alternet xterior angles

Step-by-step explanation:

Mauricio takes 24 hours, and Alyson takes 24/5 hours if the Mauricio does a job in 6 hrs less time than Alyson.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let x and y be the time to take the job for Mauricio and Alyson respectively

1/x = 1/y - 1/6 ..(1)

1/x + 1/y = 1/4 ..(2)

After solving the equations:

[tex]\rm \dfrac{1}{\dfrac{6y}{6-y}}+\dfrac{1}{y}=\dfrac{1}{4}[/tex]

y = 24/5 hours

x = 24 hours

Thus, Mauricio takes 24 hours, and Alyson takes 24/5 hours if Mauricio does a job in 6 hrs less time than Alyson.

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The initial sum of money in the account is 9000

The function is given as:

A = 9, 000(1.03)^t

The above function is an exponential function.

An exponential function is represented as:

A = ab^t

Where

a represents the initial value

By comparison;

a = 9000

Hence, the initial sum of money in the account is 9000

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Answer:

x<−7 and x>−11

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(|x+9|)<10

Step 1: Divide both sides by 5.

5(|x+9|)/5 < 10/5

|x+9|<2

Step 2: Solve Absolute Value.

|x+9|<2

We know x+9<2 and x+9>−2

x+9<2(Condition 1)

x+9−9<2−9(Subtract 9 from both sides)

x<−7

x+9>−2(Condition 2)

x+9−9>−2−9(Subtract 9 from both sides)

x>−11

Answer:

x<−7 and x>−11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{5|x + 9| < 10}[/tex]

[tex]\huge\textbf{Solving:}[/tex]

[tex]\mathbf{5|x + 9| < 10}[/tex]

[tex]\huge\textbf{DIVIDE 5 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{5|x \ + \ 9|}{5} = \dfrac{10}{5}}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{|x + 9| < 2}[/tex]

[tex]\huge\textbf{Solve the absolute value:}[/tex]

[tex]\mathbf{|x + 9| < 2}[/tex]

[tex]\huge\textbf{Possibly we know that:}[/tex]

[tex]\mathbf{x + 9 < 2 \ and\ we\ know\ that \ x+9 > -2}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{x + 9 < 2}[/tex]

[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]

[tex]\mathbf{x + 9 - 9 < 2 -9}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x < -7}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{x + 9 > -2}[/tex]

[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]

[tex]\mathbf{x + 9 - 9 > -2 - 9}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x > -11}[/tex]

[tex]\huge\textbf{Answer(s):}[/tex]

[tex]\huge\boxed{\mathsf{x < -7\ or\ x > -11}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Hello and Good Morning/Afternoon

Let's take this problem step by step:

What the problem wants to find:

  ⇒ area of a parallelogram

What is the area formula of the parallelogram:

  ⇒ Area = Base * Height

Let's gather the information necessary:

Let's solve:

   ⇒ Area = 12 * 11 = 132 in²

Answer: 132 in²

Hope that helps!

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Answer:

132 inches squared

Step-by-step explanation:

Area is 132 inches squared

Method 1:

Area of parallelogram = base x height = 11inches x 12 inches = 132 inches squared

Method 2:

Move the triangle divided by the dotted line on the right to the left.

It becomes a rectangle of 11 inches by 12 inches. 11 inches x 12 inches = 132 inches squared.

The equivalent expressions of 22c + 33d are (a), (c) and (e)

The expression is given as:

22c + 33d

Factor out 11 from the expression

11(2c + 3d)

Multiply by 1

1 * 11(2c + 3d)

Express 1 as -1 * -1

-1 * -1 * 11(2c + 3d)

Evaluate the product

(-11) * (-2c - 3d)

Also, we have:

22c + 33d

Multiply by 1

(22c + 33d) * 1

Express 1 as 3/3

(22c + 33d) * 3/3

Evaluate the product

(66c + 99d) * 1/3

Hence, the equivalent expressions are (a), (c) and (e)

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Answer:

1st option

Step-by-step explanation:

the area of the shaded portion is calculated as

area of sector - area of white Δ

area of sector = area of circle × fraction of circle

                        = πr² × [tex]\frac{90}{360}[/tex] ( r is the radius )

                        = π × 8² × [tex]\frac{1}{4}[/tex]

                       = 64π × [tex]\frac{1}{4}[/tex]

                       = 16π in²

area of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = h = 8

area of Δ = [tex]\frac{1}{2}[/tex] × 8 × 8 = [tex]\frac{1}{2}[/tex] × 64 = 32 in²

then

area of shaded portion = (16π - 32 ) in²

The given function: B. has the same slope and a different y-intercept.

The linear function is expressed in slope-intercept form as, y = mx + b, where b is the y-intercept and m is the slope.

Slope (m) of the first function is: -7/9.

Its y-intercept (b) is: 3.

Given the equation, y + 11 = -7/9x - 18, rewrite in slope-intercept form:

y + 11 = -7/9x - 18

y = -7/9x - 18 - 11

y = -7/9x - 29

The slope (m) is: -7/9

Its y-intercept (b) is: -29

Therefore: B. It has the same slope and a different y-intercept.

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Answer:

46,386=Forty six thousand three hundred eighty six.

1,020,615=One million twenty thousand and six hundred fifteen.

Hello !

Answer:

4x² + 3x + 4

Step-by-step explanation:

 (3x² + 2x + 3) + (x² + x + 1)

= 3x² + 2x + 3 + x² + x + 1

= 3x² + x² + 2x + x + 3 + 1

= 4x² + 3x + 4

7.6 expressed in p/q form is 7 3/5.

7.6 is in decimal. The decimal is a number that consists of integers and non integer. The integers are to the left of the decimal point and the non-integers are to the right of the decimal point.

In order to convert 7.6 to a fraction, note that 7 is the whole number while 0.6 is the non integer.

7.6 = 7 + 6/10

7 3/5

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sin([tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] )

using the sides of the 30- 60- 90 triangle

with legs 1, [tex]\sqrt{3}[/tex] and hypotenuse 2 , then

[tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] = 30° and

sin30° = [tex]\frac{1}{2}[/tex]

answer:

1/2

Step-by-step explanation:

sin 30º=-√3/2, 1/2 or π/6

cos=√3/2

sin= 1/2

480 stamps must be given to Mark

Answer: 130 stamps.

Step-by-step explanation:

Let amount оf the stamps Debbie must give to Mark so that Mark have 120 more than she is x.    

Hence,

(580+x)-(720-x)=120

580+x-720+x=120

2x-140=120

2x=260

2*x=2*130

x=130.

So, 130 stamps Debbie must give to Mark so that Mark have 120 more than she.

Good luck an' have a nice day!

Answer:

what is lollies expression. I need to now what the expression is in order to plug 5 in for x.

Step-by-step explanation:

we need the expression first

The number of Apples that were in the given fruit salad is approximately; 2170 Apples.

We are given the ratio of apples to oranges as;

A:O = 31:11

Now, we are told that there are 2940 apples and oranges in total.

Thus, the fractions of apples and oranges of the total will be;

Apple fraction = 31/(31 + 11) = 31/42

Orange Fraction = 11/42

Thus;

Number of Apples = (31/42) * 2940

Number of Apples = 2170 Apples

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Answer:

1. graphing a linear using slope

2. Determine the learning goals of your tutoring session

            - convert equations to slope-intercept forms.

            - graph linear equations from the slope-intercept form.

3. Provide a brief overview of the graphing method that you will be demonstrate.

          - use this formula y=mx+b to make the equation into slope intercept form

          - Then graph the line equation using the slope intercept form

4.  Plot the line Y = 2x+3 starting with the y-intercept and then using the slope

Steps on how to do number 4

1. Find the y-intercept = b of the equation y = mx + b.

2. Plot the y-intercept. The point will be (0, b).

3. Find the slope=m of the equation y = mx + b.

4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)

5. Connect those two points with your line.

Should look like the first graph below

5. Plot the line y= -3x+2  starting with the y-intercept and then using the slope.

Answer key

Use these steps

Find the y-intercept = b of the equation y = mx + b.

2. Plot the y-intercept. The point will be (0, b).

3. Find the slope=m of the equation y = mx + b.

4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)

Second graph is what number 5 question is supposed to look like