Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle.
The largest angle made during his trip was?

a. at his home
b.at the mall
c.between the mall and the library
d.between his home and library​

The total cost of the meal, including tax and tip, is approximately $18.87.

To calculate the total cost of the meal, including tax and tip, we'll follow these steps:

Step 1: Calculate the tax amount.

Tax amount = 9% of the bill amount before tax

Tax amount = 0.09 × $15

Step 2: Calculate the bill amount after tax.

Bill amount after tax = Bill amount before tax + Tax amount

Step 3: Calculate the tip amount.

Tip amount = 14% of the bill amount after tax

Tip amount = 0.14 × (Bill amount before tax + Tax amount)

Step 4: Calculate the total cost of the meal.

Total cost = Bill amount before tax + Tax amount + Tip amount

Let's compute the values:

Step 1:

Tax amount = 0.09 × $15 = $1.35

Step 2:

Bill amount after tax = $15 + $1.35

= $16.35

Step 3:

Tip amount = 0.14 × ($15 + $1.35)

= $2.519

Step 4:

Total cost = $15 + $1.35 + $2.519

≈ $18.87

For similar questions on cost

https://brainly.com/question/2292799

#SPJ11

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

For such more question on interest

https://brainly.com/question/25720319

#SPJ8

Answer:

11. m=-1/4 b=5 equation is y=-1/4x+5

12.m=4/3 b=0 equation is y=4/3x

Step-by-step explanation:

All Quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles.

Quadrilaterals are a type of polygon that has four sides and four vertices. A polygon is defined as a two-dimensional shape that is made up of three or more straight sides. The following are some statements on quadrilaterals and their properties:All quadrilaterals are polygons with four sides

This statement is true because quadrilaterals are a type of polygon with four sides. Polygons are classified according to the number of sides they have.

All quadrilaterals are parallelograms with two pairs of parallel sidesThis statement is false. Not all quadrilaterals have two pairs of parallel sides. The parallelogram is a type of quadrilateral that has two pairs of parallel sides. Examples of parallelograms are rectangles, squares, and rhombi.All quadrilaterals are rectangles with four right anglesThis statement is false.

A rectangle is a type of quadrilateral that has four right angles, but not all quadrilaterals are rectangles. Examples of rectangles are squares and oblongs.All quadrilaterals are squares with four equal sidesThis statement is false. A square is a type of quadrilateral that has four equal sides and four right angles, but not all quadrilaterals are squares. Examples of squares are rhombuses.

All quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles, and the presence of parallel sides. The classification of quadrilaterals is an important concept in geometry as it allows for the proper identification of shapes and their properties.

For more questions on Quadrilaterals .

https://brainly.com/question/23935806

#SPJ8

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Attached is a plot that compares the two variables, income and revenue using the test statistic.

(A) A statistic (a quantity obtained from the sample) used in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

In general, a test statistic is chosen or defined in a way that quantifies, within observed data, behaviors that would separate the null from the alternative hypothesis, where such an alternative is prescribed, or that would characterize the null hypothesis if there isn't an explicitly stated alternative hypothesis.

(B) Weakly positive association, r = 0.423.

(C) df = n-2 = 25-2 = 23 One-tailed Critical Value: = 0.05 T = 1.319

T, the test statistic, is defined as r*Sqrt[(n-2)/(1-r2)] = 0.423*Sqrt[(25-2)/(1-0.4232)]. = 2.24

We can infer that there is a positive link between the variables because 2.24 > 1.319.

(D) The variation in the number of rooms occupied accounts for around 18% of the variation in revenue, according to the formula r2 = 0.4232 = 0.179.

Therefore, attached is a plot that compares the two variables, income and revenue using the test statistic.

Know more about Test statistics here:

https://brainly.com/question/4621112

#SPJ4

The intervals on which f is concave up and concave down are (-INF, -2)U(0, INF) and (-2, 0), respectively. The relative maxima are at x = -2, and the relative minima are at x = 0.

f(x) = x²ex, where x is a real number

a) Determine the intervals on which f is concave up and concave down.

f is concave up on (-INF-2-sqrt2)U(-2+sqrt2, INF)

f is concave down on (-2-sqrt2,-2+sqrt2)

b) Each point should be entered as an ordered pair (that is, in the form (x, y)).-2-sqrt2, -2+sqrt2

c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. Relative maxima at -2 (Separate multiple answers by commas.)

Relative minima at 0The intervals on which f is concave up and concave down are (-INF, -2)U(0, INF) and (-2, 0), respectively.

The inflection points are (-2 - sqrt2, f(-2 - sqrt2)) and (-2 + sqrt2, f(-2 + sqrt2)).The critical points are x = 0 and x = -2.The relative maxima are at x = -2, and the relative minima are at x = 0.

To know more about the inflection points, visit:

brainly.com/question/29574688

#SPJ11

Answer:

x = 52

Step-by-step explanation:

The triangle is isosceles. The markings tell us that.

The 76 is not opposite either one of the equal sides. Let the angle values opposite the equal sides be x

x + x + 76 = 180                      All triangles = 180

2x + 76 = 180                         Subtract 76 from both sides.

2x = 180 - 76

2x = 104                                 Divide both sides by 2

x = 104/2

x = 52

So x = 52

Answer:

-6/5

Step-by-step explanation:

Answer: x=0 or 6/5

Step-by-step explanation:

Answer:

c - 4

Step-by-step explanation:

- 6c + 4 - 8 + 7c

c + 4 - 8

c - 4

Answer:

x = 45

y = 60

Step-by-step explanation:

2x = 90

2x (1/2) = 90 (1/2)

x = 45

3y - 2y = 90

3y - 2(45) = 90

3y - 90 = 90

3y - 90 (+90) = 90 (+90)

3y = 180

3y (1/3) = 180 (1/3)

y = 60

Hope this helps :)

Answer:

Θ = 39°

Step-by-step explanation:

OA = OB ( radii of the circle ) , then

Δ AOB is isosceles with base angles congruent , that is

∠ ABO = ∠ BAO = 52°

the exterior angle of a triangle is equal to the 2 opposite interior angles.

∠ DOB is an exterior angle of the triangle , so

∠ DOB = ∠ ABO + ∠ BAO = 52° + 52° = 114°

the angle between a tangent and the radius at the point of contact is 90°, then

∠ OBC = ∠ ODE = 90°

the sum of the 4 interior angles of quadrilateral OBCD = 360°

∠ OBC + ∠ DOB + ∠ ODC + ∠ BCD = 360°

90° + 114° + (90 + 27)° + Θ = 360°

90° + 114° + 117° + Θ = 360°

321° + Θ = 360° ( subtract 321° from both sides )

Θ = 39°

(a) margin of error; sample statistic.

The center of the confidence interval is determined by the sample statistic, and the width of the confidence interval is determined by the margin of error.

Therefore, the correct option is (a) margin of error; sample statistic.

Learn more about confidence interval

brainly.com/question/24131141

#SPJ11

Answer:

positive 85

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

here you go

have a nice day

Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 236.5-cm and a standard deviation of 1.7-cm.  P94 is approximately 236.50 cm.

To find the average length separating the smallest 94% bundles from the largest 6% bundles (P94), we need to determine the corresponding z-scores and then convert them back to lengths using the mean and standard deviation of the steel rods.

First, we find the z-score corresponding to the 94th percentile. Since the distribution is normal, we can use the z-table or a calculator to find this value. The z-score corresponding to the 94th percentile is approximately 1.5548.

Next, we find the z-score corresponding to the 6th percentile. The z-score corresponding to the 6th percentile is approximately -1.5548.

Now, we can calculate the lengths corresponding to these z-scores using the formula: length = mean + (z-score * standard deviation).

For the largest 6% bundles, we have: length = 236.5 + (-1.5548 * 1.7) ≈ 233.39 cm.

For the smallest 94% bundles, we have: length = 236.5 + (1.5548 * 1.7) ≈ 239.61 cm.

Finally, we can calculate P94, which is the average length separating the smallest 94% bundles from the largest 6% bundles: P94 = (239.61 + 233.39) / 2 ≈ 236.50 cm.

Therefore, P94 is approximately 236.50 cm.

To know more about mean refer here:

https://brainly.com/question/31101410#

#SPJ11

The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

Learn more on Word problems here: https://brainly.com/question/16613595

#SPJ1

Answer:

A random number list could be used to simulate the probability of rain each day this week. For example, we could assign the numbers 1-60 to the days where rain is expected and the numbers 61-100 to the days where it is not expected. Then, we could use a random number generator to simulate each day and count how many days it takes until it rains for the first time. By repeating this simulation many times and taking the average, we could estimate the experimental probability of it taking at least three days before it rains.

0 

Answer:

-9

Step-by-step explanation:

The correct option regarding the probabilities of the two events when they are independent are given by:

C. The probability of getting a red convertible is 0.10.

If two events, A and B, are independent, the probability of both events happening is the multiplication of the separate probabilities of each event happening, that is.

P(A and B) = P(A) x P(B).

For this problem, the separate probabilities are given by:

Then, for them to be independent, we need that:

P(A and B) = 0.25 x 0.40 = 0.10.

A and B means a red convertible car, hence the correct option is:

C. The probability of getting a red convertible is 0.10.

More can be learned about probabilities of independent events at https://brainly.com/question/14478923

#SPJ1

Im really sorry but by the looks of it there is suppose to be a picture with this question but there is none, If you repost I could probably help.

Answer:

B: ∠DKH and ∠ENH

Step-by-step explanation:

None

Answer:

DKH and ENH (option 2)

Step-by-step explanation:

if traced, they make an F and go through both lines JD and IE.

The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

To know more about the "Matrix": https://brainly.com/question/11989522

#SPJ11

A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

Learn more about table from

https://brainly.com/question/30801679

#SPJ11

Answer:

g = 23

Step-by-step explanation:

Divide 207 / 9 = 23

Answer:

G=120

Step-by-step explanation:

Answer:

the answer is c: 17/2

Step-by-step explanation:

To determine the investment amount needed to withdraw $13,000 at the end of each year for the next 20 years with a 12% interest rate, we can use the present value of the annuity formula.

The formula is as follows: PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where PV is the present value (initial investment amount), PMT is the annual withdrawal amount ($13,000), r is the interest rate (12% or 0.12), and n is the number of years (20).

Plugging in the values, we get:

PV = $13,000 * [(1 - (1 + 0.12)^(-20)) / 0.12]

Calculating the values within the parentheses:

(1 + 0.12)^(-20) = 0.10396
1 - 0.10396 = 0.89604

Now, we can plug this value back into the formula:

PV = $13,000 * [0.89604 / 0.12]
PV = $13,000 * 7.46698

Finally, we can calculate the present value (initial investment amount):

PV = $97,070.74

Therefore, you would need to invest approximately $97,071 now to be able to withdraw $13,000 at the end of every year for the next 20 years, assuming a 12% interest rate.

Learn more about investment amount here:

https://brainly.com/question/29046602

#SPJ11

If a matrix is diagonalizable then it is invertible is False.

A matrix can be diagonalizable but not invertible. For example, the zero matrix (a matrix where all entries are 0) is diagonalizable but not invertible.

What is diagonalizable metrix?

A diagonalizable matrix is a square matrix that can be transformed into a diagonal matrix through a similarity transformation. In other words, a matrix A is diagonalizable if there exists an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.

Geometrically, diagonalizable matrices represent linear transformations that stretch or shrink the space along a set of independent directions, which are called eigenvectors. The diagonal entries of the diagonal matrix D correspond to the eigenvalues of A, which represent the scaling factors along these directions.

Not all matrices are diagonalizable. A matrix is diagonalizable if and only if it has a sufficient number of linearly independent eigenvectors. In particular, symmetric matrices are always diagonalizable, and non-diagonalizable matrices are often associated with non-invertible linear transformations or defective geometric structures.

To know more about diagonalizable metrix, visit:

https://brainly.com/question/24149420

#SPJ1

Complete question is: If a matrix is diagonalizable then it is invertible is False.