* If you are given the measurements of two sides of a triangle,
what will be true about the triangles you make?

Mary Lou Mason's total taxes on her purchase would be $1.37.

Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.

Mary Lou Mason's total purchase was $19.14.

To calculate the total taxes for her purchase, we can use the following formula:

Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)

Therefore, the total taxes for Mary Lou Mason's purchase would be:

Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)

Tax = (0.065 x 19.14) + (0.015 x 19.14)

Tax = 1.24 + 0.13

Tax = $1.37

Mary Lou Mason's total taxes on her purchase would be $1.37.

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Answer:

answer is unidentified 50/0

Step-by-step explanation:

9514 1404 393

Answer:

  negative infinity

Step-by-step explanation:

The numerator approaches -7 as x approaches 0 from either direction.

The denominator approaches 0 from above, as x approaches 0 from either direction.

Hence, the rational expression approaches -∞ as x approaches 0 from either direction.

The limit is -∞.

Responder:

1" = 83 ft

10.5" = 83*10.5=871.5 ft

Explicación paso a paso:

Espero que esto te ayude ¡UwU! Saludos, Jaclyn

Answer:

Identify the method that will be used to solve for x for each equation.

4x = 20

✔ division property of equality

x – 11 = 9

✔ addition property of equality

5x + 6x = 22

✔ combining like terms

5(x – 2) = 30

✔ distributive property

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

\(\tan x+\frac{\cos x}{1+\sin x}\\\\ =\frac{\sin x}{\cos x}+\frac{\cos x}{1+\sin x}\\\\=\frac{\sin x(1+\sin x)+\cos^{2} x}{\cos x(1+\sin x)}\\\\=\frac{\sin^{2} x+\cos^{2} x+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1+\sin x}{\cos x(1+\sin x)}\\\\=\frac{1}{\cos x}\\\\=\sec x\)

Answer: 6,c7,c is your answers hope this helped

Step-by-step explanation:

pleas make braily

Answer:

converse of alternate exterior angle theorem

Step-by-step explanation:

um im not sure if i should explain the full proof but

Answer: All of the < symbols should be \(\leq\)

Answer:

8√113 / 113

Step-by-step explanation:

Representing the information on a triangle :

From trigonometry :

Cos θ = Adjacent / hypotenus = AC / AB

AB = hypotenus :

Using Pythagoras :

AB² = AC² + BC²

AB² = 8² + (-7)²

AB² = 64 + 49

AB = √113

Cos θ = AC / AB = 8 / √113

RATIONALIZE :

8/√113 * √113/√113 = 8√113 / 113

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Based on the information provided, Teri's APR for her personal loan is approximately 10.99%.

To calculate Teri Silva's Annual Percentage Rate (APR) by using Table 14.1, we need to determine the interest rate corresponding to her loan payments. The table provides interest rates based on the term and monthly payment amount.

Given that Teri has a personal loan of $9,500 with monthly payments of $218.78 for a term of 4 years, we can use this information to find the corresponding interest rate.

First, we locate the row in Table 14.1 that corresponds to a term of 4 years. Next, we find the column that corresponds to the nearest payment amount of $218.78. By finding the intersection of these row and column, we can determine the interest rate.

Let's assume that the nearest payment amount in the table is $220, located in the 4-year row. The corresponding interest rate listed in the table is 10.99%.

Keep in mind that this calculation assumes the accuracy of the given table and that the nearest payment amount was used for estimation purposes.

It's important to note that APR represents the annualized cost of borrowing and includes both the interest rate and any additional fees or charges associated with the loan.

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Answer:

y = 0.47

x = 0.91

Step-by-step explanation:

From the right angled triangle Given :

Applying trigonometry :

To Obtain y :

We use :

Tan θ = opposite / hypotenus

Tan 25 = y / 1

y = 1 * tan 25

y = 0.4663076 * 1

y = 0.47

For x :

We use :

Cosθ = adjacent / hypotenus

Cos 25 = x / 1

0.9063077 = x / 1

x = 0.9063077 * 1

x = 0.9063077

Hence, x = 0.91

6.66 × 10 = 66.6 is the answer.

Answer: 0.2254

Step-by-step explanation:

Let E= Event of getting of female lives in a dorm.

F = Event of getting of female lives in a 'Other'.

From the table , n(E) = 276  and n(F) = 99

and n(E∩F) = 0  [E and F are Mutually exclusive]

Now, n(E∪F)=  n(E) + n(F) - n(E∩F)

= 276+99-0

= 375

also, n(S) =1664       (Sample size)

Required probability : \(P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}\)

\(=\dfrac{375}{1664}\approx0.2254\)

Hence, the  probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

\(\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}\)

Answer:

1000

Step-by-step explanation:

Well if there are 1000 ml in one L and we have 25 L of of milk and it requires 25 ml of milk per cup of tea we would first convert 25 L to ml to get 25000 ml of milk with that answer we then divide 25000 by 25 to get 1000.

Given statement solution is :- The angles of ABCD are right angles, which means it is not a rectangle.

To determine if quadrilateral ABCD is a rectangle, we need to examine its properties.

A rectangle is a quadrilateral with four right angles (90 degrees) and opposite sides that are congruent (equal in length). We can verify these conditions for ABCD by analyzing its properties.

First, let's calculate the lengths of the sides of ABCD using the distance formula:

Side AB:

AB = √((x₂ - x₁)² + (y₂ - y₁)²)

= √((5 - 1)² + (6 - 3)²)

= √(4² + 3²)

= √(16 + 9)

= √25

= 5

Side BC:

BC = √((x₂ - x₁)² + (y₂ - y₁)²)

= √((6 - 5)² + (4 - 6)²)

= √(1² + (-2)²)

= √(1 + 4)

= √5

Side CD:

CD = √((x₂ - x₁)² + (y₂ - y₁)²)

= √((2 - 6)² + (1 - 4)²)

= √((-4)² + (-3)²)

= √(16 + 9)

= √25

= 5

Side DA:

DA = √((x₂ - x₁)² + (y₂ - y₁)²)

= √((1 - 2)² + (3 - 1)²)

= √((-1)² + 2²)

= √(1 + 4)

= √5

Now, let's check the angles of the quadrilateral.

Angle A:

Using the slope formula, we can calculate the slopes of AB and AD:

m₁ = (y₂ - y₁) / (x₂ - x₁) = (6 - 3) / (5 - 1) = 3/4

m₂ = (y₂ - y₁) / (x₂ - x₁) = (1 - 3) / (2 - 1) = -2/1

Since the slopes of AB and AD are not negative reciprocals (m₁ * m₂ ≠ -1), angle A is not a right angle.

Similarly, we can calculate the slopes and check the other angles as follows:

Angle B:

Slope of BC: m = (-2) / (1) = -2

Slope of BA: m = (3) / (4) = 3/4

Since the slopes of BC and BA are not negative reciprocals, angle B is not a right angle.

Angle C:

Slope of CD: m = (-3) / (-4) = 3/4

Slope of CB: m = (2) / (-1) = -2

Since the slopes of CD and CB are not negative reciprocals, angle C is not a right angle.

Angle D:

Slope of DA: m = (2) / (-1) = -2

Slope of DC: m = (3) / (4) = 3/4

Since the slopes of DA and DC are not negative reciprocals, angle D is not a right angle.

Based on our calculations, none of the angles of ABCD are right angles, which means it is not a rectangle.

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1. The slope of the curve y⁴ = y² - x² at (-√3/4, - 1/2) is √3/2

2. The slope of the curve y⁴ = y² - x² at (√3/4, - √3/2) is -1/2

The slope of a curve is the tangent to the curve at that point.

Given the curve y⁴ = y² - x², to find the slope of the curve ata the points (-√3/4, - 1/2) and (√3/4, - √3/2), we proceed as follows.

To find the slope of the curve, we find the derivative of the curve. So,

y⁴ = y² - x²

dy⁴/dx = d(y² - x²)/dx

dy⁴/dy × dy/dx = dy²/dy × dy/dx - dx²/dx

4y × dy/dx = 2y × dy/dx - 2x

4y × dy/dx - 2y × dy/dx = - 2x

2ydy/dx = -2x

dy/dx = -2x/2y

dy/dx =-x/y

1. The slope at (-√3/4, - 1/2) is

dy/dx = -x/y

= -√3/4 ÷ - 1/2

=  -√3/4 × 2

= √3/2

2. The slope at (√3/4, - √3/2) is

dy/dx = -x/y

= √3/4 ÷ - √3/2

=  √3/4 × -2/√3

= -2/4

= -1/2

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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I think the best answer is:

\(\frac{1}{13}\)

Explanation Below.

This is a proper fraction once the absolute value of the top number or numerator (4) is smaller than the absolute value of the bottom number or denomintor (52).

The fraction \(\frac{4}{52}\)  can be reduced.

We will use the Greatest Common Factor (GCF) method to simplify it.

The GCF is the largest number between which two or more numbers can be divided evenly.

To find the GCF we list the the numerator and denominator factors (*) then we find the largest number that is repeated in both lists:

* The factors of 4 are 1,2,4;

* The factors of 52 are 1,2,4,13,26,52.

We can see that the GCD is 4 because it is the largest number by which 4 y 52 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 4 (the GCF).

So, \(\frac{4}{52} =\) \(4\) ÷ \(4\)

-------------------------

\(52\) ÷ \(4\) ≈ \(\frac{1}{13}\)

The factors are numbers that multiply each other to get another number. For example, 2 and 3 are factors of 6, because by multiplying them you get 6.

\(Goodluck!!\)

\(_{Losersbrazts}\)

Answer:

Y=-3

You see y=-3 does pass through 2,3 and is also parallel to y=6

Answer:   m = \(- \frac{6}{7}\)

Answer:

5^x

Step-by-step explanation:

Each level of the question is multiplied by 5 every time x increases by 1.

The exponential function represents the data in the table is f(x) = \(5^{x}\) .

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = \(a^{x}\)

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

According to the question

Exponential function represents the data in the table

x   f(x)

2     25

3     125

4     625

Now,

Putting values in Exponential function equation at :

x   f(x)

2     25

f(x) = \(a^{x}\)  

25 = \(a^{2}\)

a =  ± 5

Now

x   f(x)

3   125  

f(x) = \(a^{x}\)  

125 = \(a^{3}\)

a =   5

Therefore ,

a = 5 which will satisfy all the values of x for f(x)

Hence, exponential function represents the data in the table is f(x) = \(5^{x}\) .

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Answer:

The value is  \(v = 49.23 \ mph\)

Step-by-step explanation:

From the question we are told that

  The  distance from Jacksonville to Miami is  d  =  382 miles

  The  time it take to travel from Jacksonville to Daytona is  \(t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours\)

  The  time it take to travel from Daytona Beach to Fort Pierce is \(t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours\)

    The  time it take to travel from Fort Pierce to West Palm Beach is  

\(t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours\)

     The  time it take to travel from West Palm Beach to Miami \(t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours\)

Generally the average speed is mathematically represented as

      \(v = \frac{d}{t_1 + t_2 +t_3 + t_4 }\)

=>   \(v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }\)

=>    \(v = 49.23 \ mph\)

Answer:

my friend, I would have to go with B: -3/4n + 3/8