You and your best friend take a Uber ride that costs $16.40. The tip should be 10%. How much in tip does the driver get?

Answer:

  287 ft

Step-by-step explanation:

Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.

ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:

  PR/PO = RE/OC

  PR/(PR +165) = 235/370 . . . . . substitute known values

  74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)

  27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR

  PR = 287 2/9 . . . . . . . divide by 27

The distance across the river is about 287 feet.

To find the exact value of \(\(\cos(a-\beta)\)\) under the given conditions, we can use the cosine difference formula. The exact value is \(\(\frac{{7\sqrt{21} - 4B}}{{125}}\).\)

To find the exact value of \(\(\cos(a-\beta)\),\) we'll follow the steps below:

Step 1: Use the given conditions to determine the values of \(\(a\) and \(\beta\):\)

\(\(a = \frac{7}{25}\) and \(0 < a < \frac{\pi}{2}\).\)

Since \(\(\frac{\pi}{2} < a < \pi\),\) we know that \(\(\sin(a) > 0\) and \(\cos(a) < 0\).\)

Therefore, \(\(\cos(a) = -\sqrt{1-\sin^2(a)} = -\sqrt{1-\left(\frac{24}{25}\right)^2} = -\frac{7}{25}\).\)

Step 2: Apply the cosine difference formula:

The cosine difference formula states that \(\(\cos(a-\beta) = \cos(a)\cos(\beta) + \sin(a)\sin(\beta)\).\)

Using the values we determined in Step 1, we have:

\(\(\cos(a-\beta) = \left(-\frac{7}{25}\right)\cos(\beta) + \left(\frac{24}{25}\right)\sin(\beta)\).\)

Step 3: Determine the value of \(\(\cos(\beta)\):\)

From the given options, \(\(\cos(\beta) = \frac{4B-7\sqrt{21}}{125}\).\)

Step 4: Substitute the values into the formula:

\(\(\cos(a-\beta) = \left(-\frac{7}{25}\right)\left(\frac{4B-7\sqrt{21}}{125}\right) + \left(\frac{24}{25}\right)\sin(\beta)\).\)

Simplifying the expression, we have:

\(\(\cos(a-\beta) = \frac{7\sqrt{21}-4B}{125}\).\)

Therefore, the exact value of \(\(\cos(a-\beta)\)\) under the given conditions is \(\(\frac{7\sqrt{21}-4B}{125}\).\)

To learn more about difference formula click here: brainly.com/question/32512191

#SPJ11

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

If you want to learn more, you can read:

https://brainly.com/question/20067450

To compute the angle between successive azimuths, you can use the following formula:

Angle between successive azimuths = (360° / Number of azimuths)

For example, if you have 4 azimuths, the angle between each successive azimuth would be:

Angle between successive azimuths = (360° / 4) = 90°

So, the angle between each successive azimuth would be 90 degrees.

Here are the steps to compute the angle between successive azimuths:

1. Determine the number of azimuths you have.
2. Plug the number of azimuths into the formula: Angle between successive azimuths = (360° / Number of azimuths)
3. Solve the equation to find the angle between successive azimuths.

To know more about azimuths click on below link:

https://brainly.com/question/17112550#

#SPJ11

The range of the function f(x) = |x| + 7 is given by the option presented as follows:

7 ≤ y < ∞.

The range is composed by the set containing all the values assumed by the output of the function, that is, all the numeric values assumed by the function.

In the context of this problem, the function is defined as follows:

f(x) = |x| + 7.

The parent function is the absolute value function g(x) = |x|, which gives the distance of a point x from the origin, assuming real values of at least 0, as a distance cannot be negative.

The addition by 7 means that the parent function was translated up seven units, meaning that the minimum value assumed by the range is seven, and the range of the function is given by the last option given as follows:

7 ≤ y < ∞.

More can be learned about the domain and range of functions at brainly.com/question/2264373

#SPJ1

Answer:1 hour 15 Minutes

Step-by-step explanation:The glider begins its flight mile above the ground.

Distance above the ground after 45 minutes =

Change in height of the glider

Next, we determine how long the entire descent last.

Expressing the distance moved as a ratio of time taken

Therefore: Total Time taken =45+30=75 Minutes

=1 hour 15 Minutes

Answer:

909.8 millibars.

Step-by-step explanation:

The mean sustained velocity, v be determined by the equation:

\(v=6.3\sqrt{1013-p}\), where p is the air pressure, in millibars, at the center of the hurricane.

Given that: v=64 meters per second, we are to find the value of p.

\(64=6.3\sqrt{1013-p}\\$Square both sides to eliminate the square root sign\\(64)^2=(6.3\sqrt{1013-p})^2\\4096=39.69(1013-p)\\$Divide both sides by 39.69$\\\dfrac{4096}{39.69}=1013-p\\ $Therefore:$\\p=1013-\dfrac{4096}{39.69}\\\\p=909.8$ millibars\)

The approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second is 909.8 millibars.

Answer:

D

Step-by-step explanation:

Answer:

3.3 feet

Step-by-step explanation:

the answer is 3.3 feet

Answer:

2.3 feet

Step-by-step explanation:

Answer: I belive the answer you are lookin for is  8x+2!

Step-by-step explanation:

First, we have to do 10x-5 - 2x +7

Then we have 8x + 2 ( our answer)

Answer:

see explanation

Step-by-step explanation:

the error in the question is that

sec²x = \(\frac{1}{cos^2x}\) ≠ \(\frac{1}{sin^2x}\) , and

csc²x = \(\frac{1}{sin^2x}\) ≠ \(\frac{1}{cos^2x}\)

have been used incorrectly in simplifying the expression

then

\(\frac{tan^2x+1}{1+cot^2x}\)

= \(\frac{sec^2x}{csc^2x}\)

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

= \(\frac{1}{cos^2x}\) × \(\frac{sin^2x}{1}\)

= \(\frac{sin^2x}{cos^2x}\)

= tan²x

Answer: use the radious

Step-by-step explanation:

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ4

Answer:

Step-by-step explanation:

no

Answer:

growth

Step-by-step explanation:

Answer:

A. Growth

Step-by-step explanation:

There is a 1 in front of 0.04, which also means 104%, so it's an increase, therefore growth. Decay would be below 100%.

I hope this helps you!! ^-^

Different List of values having the same mean and standard deviation may not contain the same values.

For instance :

List A : [-1, -1, 0, 2]

Using a calculator ;

List B : [-2, 0, 1, 1]

Using a calculator ;

Mean = 0

Standard deviation = 1.1414

The mean and standard deviation of each list are the same, however, the values in each list are different.

Hence, Letitia is incorrect.

Learn more : https://brainly.com/question/15528814

Answer:

88

Step-by-step explanation:

GIVE ME BRAINIEST

Answer:

\(4\sqrt{21}\)

Step-by-step explanation:

Pythagorean theorem is \(a^{2} +b^{2} =c^{2}\).

Which in this case:

'c' is hypotenuse. (hypotenuse = 20)

'a' and 'b' are the other sides. (a = x, b = 8)

Now we should just take square root from the both sides.

and the answer will be \(\sqrt{336}\) or \(-\sqrt{336}\), but a side of a triangle can not be a negative number! so the answer will be \(\sqrt{336}\).

As you see \(\sqrt{336}\) is not the simplest radical.

We can write \(\sqrt{336}\) as \(\sqrt{16 * 21}\).

And from the laws of radical we can write \(\sqrt{16*21}\) as \(\sqrt{16} * \sqrt{21}\).

\(\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}\)

I hope it helps you. Please choose my answer as the brainliest.

Answer:

A (-2,8)          B (-1,5)                  C (-6,2)

A(-2,-7)         B(-5,-8)                  C(-8,-3)

Step-by-step explanation:

                                  x,y                     x,y                          x,y

                              A(7,-2) ,              B(8,-5) ,                  C(3,-8)

translation               (7-9),(-2+10)     (8-9),(-5+10)          ( 3-9),(-8+10)

(x-9) and (y+10)        (-2,8)                    (-1,5)                     (-6,2)

when rotation 270 degrees counterclockwise around the origin:

A(x,y ) Then A'(-y,x) means switch x and y and make x negative

A(7,-2 )  rotation 270 degrees counterclockwise (-2,-7)

B(8,-5)        to (-5,-8)

C(3,-8)        to (-8,-3)

Solution.

Initial population = 205

After 1 year, population = 205 - 7 = 198

After 2 years , population = 198 - 7 = 191

After 3 years , population = 191 - 7 = 184

We can generate a table of value for the changes

One point on the line = (0, 205)

The t-intercept signifies the time when the population of the tiger will be zero. That is the time when there will be no more tigers in the park

Answer:

Step-by-step explanation:

bbbbbbbbbbb

The Game plan:

We know that the volume of a Prism is:

The area of the triangle on the side multiplied by the width of the Prism

Also, Area of triangle = \(\frac{1}{2}*b*h\)

(where b is the base and h is the altitude of triangle)

Finding the Volume:

Volume = Area of triangle * Width

Volume = \((\frac{1}{2}*b*h) * w\)                        (where w is the width of the prism)

Volume = \((\frac{1}{2}*20*30) * 24\)                    (plugging the known values)

Volume = 7200 ft³

The expected number of cards Percy turns over before stopping = 3.78≈3

Probability refers to the chance of occurrence of an event E.

Let E be an event and P(E) be the probability of E occurring.

Then, P(E) = \(\frac{Number Of Favourable Outcomes Of E}{Total Number Of Outcomes}\)

Now, given a 52-card deck; cards are turned over till a spade comes up.

Then, the number of cards turned over is the sum of all card over 'kth' card, having probability \(P_{k}\), where, the card 'k' comes up if no previous card was a spade.

=> \(P_{k}=\frac{\binom{39}{k}}{\binom{52}{k}} = \frac{39!(52-k)!}{52!(39-k)!}\)

\(\sum^{39}_{k=0} (P_{k})=\frac{39!}{52!} \sum^{39}_{k=0}(\frac{(52-k)!}{(39-k)!}=\frac{53}{14} = \frac{52+1}{13+1}=3.78\)

Hence, after 3.78≈3 cards, Percy will stop turning the cards.

To learn more about probability, refer to the given link:

https://brainly.com/question/13604758

#SPJ4

The surface area of the composite figure is 322cm²

Surface area is the amount of space covering the outside of a three-dimensional shape. The total surface area will be the sum of the surface area of the figure.

The figure has 7 surfaces, and the areas are

calculated.

face 1 = 6× 4 = 24+1² = 25cm²

face 1 = face 2 = 25cm²

face 3 = 12 × 7 = 84 cm²

face 4 = 6× 12 = 72 cm²

face 5 = 3 × 12 = 36cm²

face 6 = 4× 12 = 48cm²

face 7 = 1 × 12 = 12 cm²

Total surface area = 25+25+84+72+36+48+12 = 322cm²

therefore the surface area of the Composite figure is 322cm²

learn more about surface area from

https://brainly.com/question/16519513

#SPJ1

The expressions without hyperbolic functions are as follows:

(a) sinh(0) = 0,

(b) cosh(0) = 1,

(c) tanh(0) = 0,

(d) sinh(1) = \((e^{(1)} - e^{(-1)})/2\), and

(e) tanh(1) = \((e^{(1)} - e^{(-1)})/(e^{(1)} + e^{(-1)})\).

The hyperbolic functions sinh(x), cosh(x), and tanh(x) can be defined in terms of exponential functions. We can use these definitions to express the given expressions without hyperbolic functions.

(a) sinh(0) = \((e^{(0)} - e^{(-0)})/2\) = (1 - 1)/2 = 0

(b) cosh(0) = \((e^{(0)} + e^{(-0)})/2\) = (1 + 1)/2 = 1

(c) tanh(0) = \((e^{(0)} - e^{(-0)})/(e^{(0)} + e^{(-0)})\) = (1 - 1)/(1 + 1) = 0

(d) sinh(1) = \((e^{(1)} - e^{(-1)})/2\)

(e) tanh(1) = \((e^{(1)} - e^{(-1)})/(e^{(1)} + e^{(-1)})\)

For expressions (d) and (e), we can leave them in this form as the exact values involve exponential functions. If you want an approximate decimal value, you can use a calculator to evaluate the expression.

To learn more about hyperbolic functions, refer:-

https://brainly.com/question/17131493

#SPJ11

Answer:

19c + 30

Step-by-step explanation:

Distributive property : a(b+c) = ab + ac

Explanation : simply multiply the value on the outside of the parenthesis by both the values on the inside of the parenthesis.

Here we have 1(19c + 30)

To distribute, we multiply 1 by both 19c and 30

1 x 19c = 19c

1 x 30 = 30

We're left with 19c + 30

(-3, 4) is the solution to the given system of simultaneous equation

Given the system of equation

y = -x + 1

y = -1/3x + 3​

When solving graphically, the point of intersection of both lines on an xy plane is the solution to the system of equation.

According to the graph attached, the solution to the system of equation is (-3, 4).

Learn more on graphical system of equation here https://brainly.com/question/7853772:

#SPJ1

Answer:

2 out of 4

Step-by-step explanation:

Answer:

Is 25%

Step-by-step explanation:

2/8=1/4 1/4 as a percent is 25%

The equation of the line would be y = 17/7x + 1.

What is the equation of the line?

The equation of a line is a mathematical expression that describes the position of a line in a coordinate plane. It typically takes the form of "y = mx + b", where "m" is the slope of the line and "b" is the y-intercept, the point where the line crosses the y-axis.

The whole question is:

Write an equation of the line passing through the point (8,7) that is perpendicular to the line  \(y + 7 = -\frac{7}{17}(x+8)\)

To write the equation of a line that is perpendicular to a given line, we can use the slope of the given line and the point the new line passes through.

The slope of the line \(y + 7 = -\frac{7}{17}(x+8)\) can be found by isolating y and then taking the derivative, which gives us: -7/17.

The slope of a line perpendicular to this line is the negative reciprocal of the given line's slope, which is 17/7.

We also know that the new line passes through the point (8,7). Using a point-slope form of a line which is (y-y1) = m(x-x1) where m is the slope, we can write the equation of the line as:

y - 7 = 17/7(x - 8)

So the equation of the line that passes through the point (8,7) and is perpendicular to the line \(y + 7 = -\frac{7}{17}(x+8)\) is:

y = 17/7x + 1

Hence, the equation of the line would be y = 17/7x + 1.

To learn more about the equation of the line, visit:

https://brainly.com/question/18831322

#SPJ4