A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs 32 dollars , so the debt for one ticket is-32 . The tour company adds a 15 dollar fee for the entire order. Including the fee, which number represents the total debt?

The choice is tangent rule and the distance from the base to the tower is 3. 98 meters

The trigonometric ratio to use is

tan α = opposite side/ adjacent side

This is so because the angle 86° is facing the side of the distance from the top to the base

The choice is tangent rule

adjacent  = x

Angle = 86°

Opposite side = 57

We have

tan 86° = 57/x

14. 300= 57/x

x = 57 ÷ 14.300

x = 3.98meters

Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters

Learn more about trigonometry here:

https://brainly.com/question/7331447

#SPJ1

Answer:

[tex]\log_8{(3)} + \log_8{(7)}[/tex]

Step-by-step explanation:

Product Rule for Logarithms

[tex]\log_b{(mn)} = \log_b{(m)} + \log_b{(n)}[/tex]

Instead of 21 you can write 3 · 7, because 21 = 3 · 7.

[tex]\log_8{(21)} = \\= \log_8{(3 \cdot 7)} =\\= \log_8{(3)} + \log_8{(7)}[/tex]

2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]

3) Substitution property

4) Combine like terms

The correct answer from the task content is; Choice C; None of the above.

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

Read more on equations;

https://brainly.com/question/2972832

#SPJ1

The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area.

For:

(X1, Y1) = (1, 15)

(X2, Y2) = (-2, 1)

d = 14.317821

For:

(X₂, Y₂) = (-2, 1)

(X₃, Y₃) = (4, 5)

d = 7.211103

For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.

The value of the base is;

⇒7.2 / 2

⇒3.6

apply the pythogorous theorem for finding the height;

h² = p² + b²

14.31² = p² + 3.6²

p = 13.84

The area of the triangle is;

[tex]\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912[/tex]

Hence, the area of the triangle will be 24912 sq. units.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

#SPJ1

Answer:

I am not sure but 31054.449

Step-by-step explanation:

Answer:

0.27037

Step-by-step explanation:

numerator is 250.16667

denominator is 925.2477

answer is 0.27037

The correct answer is option D which is the probability is 1.

The complete question is given below:-

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

0

1/4

3/4

1

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of Event E is given by,

P = favourable outcomes / Total outcomes

Jamaal is the only candidate running in the class treasurer election.

There for Total No. of outcomes = 1

Here Event E is Jamaal winning the Election.

So, No. of favorable outcome = 1

P(E) = 1 / 1

P(E) = 1

This type of event is called a SURE EVENT Because the probability of a sure event is always 1.

The Probability of Jamaal winning the election is 1. So, Option D is correct.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

The probability that he will win the election will be 1. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The value of the probability of an event will be varying from zero to one.

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer.

Then the probability that he will win the election will be

If the event will certainly happen, then the probability will be one.

P = 1

Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

false

Step-by-step explanation:

if the 2 shorter segments dont add up to be equal or greater to the longest segment, then its impossible for a triangle to be formed :)

Answer:

True

Step-by-step explanation:

General formulas and concepts:
Subject: Geometry

Unit: Triangular Line Segments

Definitions:

Triangle Inequality Theorem

Steps:

Use the triangle inequality theorem:

9 + 4 > 11

13 >  11 ⇒  True

9 + 11 > 4

20 > 4 ⇒ True

4 + 11 > 9

15 > 9 ⇒ True

Conclusion:

Because the 3 segments that are given satisfy the statements of the triangle inequality theorem, they can therefore form a triangle.

The least number of consecutive positive integer that is required to make the sum of the reciprocals greater than three is 7.

An integer is simply a number that is not  a  fraction.

The first four consecutive positive integers are:

1, 2, 3 , 4.

Their reciprocals are:

1/1, 1/2, 1/3, 1/4; and

The sum of them are greater than 2; that is

1/1 + 1/2 + 1/3 + 1/4 = 2.08333333333 > 2

to make the expression >3

We would require the following integers

1/1 + 1/2 + 1/3 + 1/4+ (1/5) + (1/6) + (1/7) + (1/8)+ (1/9) + (1/10) + (1/11) = 3.01987734488

Thus, the additional consecutive reciprocal integers that is required to make the sum of the reciprocal of the fist four greater than 3 is 7.

Learn more about reciprocals at:
https://brainly.com/question/673545

#SPJ1

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Answer:

Step-by-step explanation:

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

Answer:

B. (4, -2)

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

Answer:

135

Step-by-step explanation:

Depending on where you start, the protractor can read in different ways. Since the measure of this angle started from the left, you read the numbers at the top. If the measure would have started from the right, you read the numbers below.

A good rule of thumb is that if the angle appears to be greater than 90 degrees, or an obtuse angle, you would choose the only answer choice that is above 90 degrees.

Hope this helps!

Answer: Option 3 or C. 22

Step-by-step explanation:

I got the answer correct on Edge 2022 quiz. Trust me the answer is correct I screenshot it using the prt sc key then uploaded it. The proof is in the pic below.  :)

Answer:

They are parallel because their slopes are equal.

Step-by-step explanation:

See attached image.

The distance from the wall defined by the y-axis will be 8 feet. Then the correct option is B.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The table is given below.

Then the equation of the line will be

(y – 8) = [(8 – 6) / (0 – 20)](x – 0)

       y = -0.1x + 8

If the drain is at the minimum point.

Then the distance from the wall defined by the y-axis will be 8 feet.

Then the correct option is B.

The complete question is given below.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ1

Answer:

83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget

Step-by-step explanation:

83.80 = 69 + 4x
14.8 = 4x
x = 3.7

The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gigabyte be g.

69+4g=83.80

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4g=83.80-69

⇒ 4g=14.8

⇒ g=14.8/4

⇒ g=3.7 gigabyte

Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The surface area and volume of the real brick will be 983.2 cm²and 1738.11 cm³ respectively.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The scale factor is ;

r = 630 cm /23

r = 27

L = 23 cm

b = 310 / 27 = 11.48 cm

h = 180/27 = 6.6 cm

The surface area of the brick;

A = 2(lb+bh+hl)

A = 2( 23 ×11.48+11.48×6.6+6.6×23)

A= 983.2 cm²

The volume of the brick is;

V= lbh

V=23 × 11.45 ×6.6

V=1738.11 cm³

Hence the surface area and volume of the real brick will be 983.2 cm² and 1738.11 cm³ respectively.

To learn more about the volume, refer to https://brainly.com/question/1578538

#SPJ1

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

[tex]y \geqslant 2[/tex]

The slanted line, y=x is dashed and shaded below, so it represents y<x.

Answer:

720 Course Schedules

Step-by-step explanation:

When you choose the first course, there are 6 to choose from. When you scoose the second, there are only 5. This keeps going until the 6th course where there is only 1 choice.

You multiply these choices together. You should get 6×5×4×3×2×1

6×5=30

30×4=120

120×3=360

360×2=720

720×1=720

You then end up with 720 course schedules.

The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x = 20

 x = 5

x – 11 = 9

      x = 20

5x + 6x = 22

       11x = 22

         x = 2

5(x – 2) = 30

   x – 2 = 6

         x = 8

The complete question is attached below.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

I am not completely sure if this is correct, but I believe the answer should be PM.
This is because the order of the letters that represents a point can be swapped, since they are still forming the same line.

Answer:

I assume you meant "y = -x+7" not "= -x +7". If that is correct then the slope is -1.

Step-by-step explanation:

The slope is the coefficient of the x in slope-intercept form. Therefore, the slope is -1.

Please give me Brainliest if this answer is correct.

Answer:

[tex]x=(-2,\frac{5}{3} )[/tex]

Step-by-step explanation:

1)  We will use the matrix method to solve this problem.

[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]

2) Swap Row₁ and Row₂ to make row reduction easier.

[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]

3) Apply to Row₂ :  Row₂ + [tex]\frac{2}{3}[/tex] Row₁.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]

4)  Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

5) Apply Row₁ : Row₁ - 0 Row₂.

[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]

6) Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in reduced row echelon form.

7) Therefore,

[tex]x=-2\\x=\frac{5}{3}[/tex]

Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

Learn more about the pH here:

https://brainly.com/question/26145256

Answer:

16

Step-by-step explanation:

If f(x)=7x-3 and g(x)=x²,

(g•f)(1)= g(f(1))

bit : f(1) =7(1)-3 = 4

(g•f)(1)= g(f(1)) = g(4) = 1² = 16

I hope this was helpful :)

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

Learn more about congruent;

https://brainly.com/question/10586347

#SPJ1

Answer:

The angles are 72° and 108°

Step-by-step explanation:

Supplementary angles add up to 180°

Ratio of supplementary angles = 2 : 3

The angles are 2x , 3x

2x + 3x = 180

        5x = 180

          x = 180 ÷ 5

         x = 36°

2x = 2*36 = 72°

3x = 3*36 = 108°