You have flown 52 miles, are 6 miles off course, and have 118 miles yet to fly. To converge on your destination, the total correction angle would be

Answer:

the  ratio of 15 sec to 55 sec is 3 : 15

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

It's either C or B but I'm mostly going for C cause some of them have dots in the middle and some exactly on the line so if I were you I would choose C but if you want a different answer then choose B but I'd do C.

Hope this help biiiieee

Answer:

please screen shot it so we cna help you

The measure of angle EBF is  80° .

In the question ,

it is given that ,

point A, B and C lie on a straight line .

and G , B and F lie on a different straight line .

angle GBA = 24° so ,

GBA + GBC = 180°   ...because linear pair

So , GBC = 180 - 24 = 156°

angle CBF = 24°          ......because vertically opposite angles are equal .

from the figure , we see that angle GBC and angle ABF are vertically opposite angles , so ,

156° = ABE + EBF         .....(1)

Since the line AC and DF are parallel and BE is the transversal

So  , angle DEB + angle ABE = 180°

104° + ABE = 180°

ABE = 180-104

ABE = 76°

Substituting ABE = 76° in the equation (1) ,

we get ,

156 = 76+ EBF

EBF = 156 - 76

EBF = 80°

Therefore , The measure of angle EBF is  80° .

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Answer:

y = 2x - 3.

Step-by-step explanation:

The equation of a line can be written in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

We are given that the line has a slope of 2, so we can substitute m = 2 into the slope-intercept form to get:

y = 2x + b

We also know that the line contains the point (5,7). This means that the x-coordinate of the point is 5, and the y-coordinate of the point is 7. We can substitute these values into the equation to get:

7 = 2(5) + b

Simplifying the right-hand side gives:

7 = 10 + b

Subtracting 10 from both sides gives:

-3 = b

Therefore, the value of b is -3.

We now have both the slope and the y-intercept of the line. Substituting these values into the slope-intercept form gives the equation of the line:

y = 2x - 3

Therefore, the equation of the line that passes through the point (5,7) and has a slope of 2 is y = 2x - 3.

Answer: I handdbbdhddhdndnndnddnndjdjdjdjdjdjdjdjdjdjdjdjdjdjdjd

Step-by-step explanation:

Genie payback Ari in total including loan and interest is $26,600.

To calculate this amount, we need to use the formula for simple interest: I = Prt, where I is the interest, P is the principal amount, r is the interest rate, and t is the time.

In this case, P = $100, r = 200%, and t = 133 years. To convert the interest rate to a decimal, we divide 200 by 100 and get 2. So, the interest is:

I = Prt = $100 * 2 * 133 = $26,600

Therefore, the genie has to pay back ari $100 + $26,600 = $26,600 in total.

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To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

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Answer:

a = 16 hope this helps

Step-by-step explanation:

Answer:

\( \frac{8}{10} \)

Answer: NOPE

Step-by-step explanation:

SOrry bro its -24

The value of j depends on the value of k. We cannot find a specific value for j without knowing the value of k.

The four-sided polygon with two pairs of parallel sides is termed as parallelogram.  The diagonals of a parallelogram bisect each other, meaning they intersect at their midpoint.

Since ABCD is a parallelogram, the diagonals AC and BD bisect each other at point P. Therefore, we can use the fact that AP + CP = BP + DP to solve for j.

AP + CP = BP + DP

Substituting the given values, we get:

k + 10 + 6k = 5j - 9 + 3j

Simplifying and collecting like terms, we get:

7k - 8 = 8j

Solving for j, we get:

j = (7k - 8) / 8

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The value of j is 9/2. The value of k is 2.

A parallelogram can have any angle between its neighboring sides, but it must have opposite sides that are parallel for it to be a parallelogram. Hence, a quadrilateral in which both pairs of opposite sides are parallel and equal is referred to as a parallelogram.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). Rectangles and squares are both particular varieties of parallelograms since a square is a degenerate instance of a rectangle.

The diagonals of a parallelogram bisect each other at the point of intersection. According to this statement:

3j= 5j - 9 ..............................eq(1)

9= 5j - 3j

9= 2j

j= 9/2

6k= k+ 10 ..............................eq(2)

6k-k = 10

5k = 10

k= 10/5

k=2

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Answer:

Monthly payment is $247.53

Step-by-step explanation:

Firstly, we need to calculate the total amount to be paid back

we have this by calculating using the compound interest formula;

That will be;

A = P( 1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed = $8,000

r is the interest rate = 3.6% = 3.6/100 = 0.036

n is the number of times we are compounding per year; since it is monthly, this is 12

t is the number of months which is 3

Substituting these values, we have

A = 8000( 1 + 0.036/12)^(12 * 3)

A = 8000(1 + 0.003)^36

A = 8000( 1.003)^36

A = $8,910.94

To know the monthly payment, we divide this by the number of months

That will be;

$8,910.94/36

= $247.53

The confidence interval is (0.451, 0.549).

To find the confidence interval, we need to use the formula:

Confidence interval = sample proportion +/- margin of error

where the margin of error is calculated as:

Margin of error = z* (standard error)

The standard error is the standard deviation of the sampling distribution of the proportion, which is calculated as:

Standard error = \(\sqrt{p*(1-p)/n}\)

where p is the sample proportion and n is the sample size.

The z-value corresponding to a 95% confidence level is 1.96.

Using the given information, we have:

Sample proportion (p) = 0.50

Sample size (n) = 400

Margin of error = 0.052 * 0.5 = 0.026

Standard error = \(\sqrt{0.5(1-0.5)/400}\) = 0.025

Z-value for 95% confidence level = 1.96

So the confidence interval is:

0.50 +/- 1.96 * 0.025

= 0.50 +/- 0.049

Therefore, the confidence interval is (0.451, 0.549) or 45.1% to 54.9%. We can say with 95% confidence that the true proportion of respondents who agree with the statement lies between 45.1% and 54.9%.

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Answer:

12 bags of cookies.

Step-by-step explanation:

Since you already start out with $24, you will have a y-intercept of 24. Your slope will be 3, since each bag sells for $3.

Your equation will be y = 3c + 24.

Your sister does not start out with money, so she will have a y-intercept of 0. Her slope will be 5, as each bag sells for $5.

Her equation will be y = 5c.

Since y = y, you can set the two equations equal to each other.

3c + 24 = 5c

5c = 3c + 24

Subtract 3c from both sides

2c = 24

Divide both sides by 2

c = 12

So, they must sell 12 bags of cookies to raise the same amount of money, $60. Yum!

Hope this helps!

Answer:

A. Infinitely

Step-by-step explanation:

The equation can be simplified to 4x-4x=4x-4x which works with all values of x.

Answer:

A.infinitely

Step-by-step explanation:Any value of x makes the equation true.

All real numbers

Interval Notation:(−∞,∞)

Answer:

use distance formula

Step-by-step explanation:

enter each set of points into distance formula, find distance then sum all sides

Answer:

Since the ratio of the altitudes of the two triangles ABC and DEF is 1:3, we can say that the altitude of triangle DEF is three times that of triangle ABC.

Let's assume the altitude of triangle ABC is h, then the altitude of triangle DEF is 3h.

Now, we know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Let's apply this formula to both triangles:

Area of triangle ABC = (1/2) * base * altitude

= (1/2) * 7cm * h

= 3.5h cm^2

Area of triangle DEF = (1/2) * base * altitude

= (1/2) * 7cm * 3h

= 10.5h cm^2

Since the two triangles are similar, their areas are proportional to the squares of their corresponding sides. That is:

Area of triangle ABC / Area of triangle DEF = (AB / DE)^2

Substituting the values, we get:

3.5h / 10.5h = (AB / DE)^2

1/3 = (AB / DE)^2

Taking the square root of both sides, we get:

AB / DE = 1 / sqrt(3)

AB = (1 / sqrt(3)) * DE

Now, we know that the sides of triangle ABC are 3cm, 5cm, and 7cm.

Let's assume that the sides of triangle DEF are a, b, and c.

Since the sides of the two triangles are proportional, we can write:

a / 3 = b / 5 = c / 7 = 1 / sqrt(3)

Solving for a, b, and c, we get:

a = 3 / sqrt(3) = sqrt(3) cm

b = 5 / sqrt(3) = (5 * sqrt(3)) / 3 cm

c = 7 / sqrt(3) = (7 * sqrt(3)) / sqrt(3) = 7 cm

Therefore, the measures of the sides of triangle DEF are sqrt(3) cm, (5 * sqrt(3)) / 3 cm, and 7 cm.

The probability that all the people will get their own coats back is 1/7.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates sureness. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A basic model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly plausible; the likelihood of "heads" rises to the likelihood of "tails"; and since no different results are conceivable, the likelihood of all things considered "heads" or "tails" is 1/2.

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Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \(\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)\)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = \(C(n,k)\) not nk

Answer:

True

Step-by-step explanation:

apec

Answer:

In order from top to bottom, the tiles are,

x=5+4i

x=-4+5i

x=4-5i

Step-by-step explanation:

All of these solutions are complex numbers, which means the equation has imaginary roots. Complex numbers are written in the form of a+bi, where a is a real number and bi represents the imaginary number. For quadratic equations, complex roots are often also complex conjugates. This means that the solution is x=a+bi, so to find the other conjugate simply switch the sign. For example, if x=5-4i is a solution, so is x=5+4i.

Answer:

CORRECT

Step-by-step explanation:

The number of minutes required to wash 12 windows is 8 4/7 minutes.

According to the given question.

You can wash one window in 15 minutes, so each minute you can wash 1/15.

Your sister can wash one window in 20 minutes, so each minute the sister can wash 1/20.

If working together you can wash 1/15 + 1/20 = 7/60.

Hence, the time required to wash 12 windows together

= 12 × 7/60

= 8 4/7 minutes.

Therefore, the number of minutes required to wash 12 windows is 8 4/7 minutes.

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Answer:

volume of cylinder: \(\sf 396\pi \ m^3\)

Explanation:

given:

solve:

\(\hookrightarrow \sf \pi r^2h\)

\(\hookrightarrow \ \sf \pi (6)^2(11)\)

exact:

\(\hookrightarrow \ \sf 396 \pi\)

in nearest tenth:

\(\hookrightarrow \ \sf 1244.1 \ m^3\)

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer: look at the image for the answer and explanation

Step-by-step explanation:

When proving that the diagonals of a rectangle are congruent, certain elements are necessary.

To prove that the diagonals of a rectangle are congruent, we need to establish the properties and characteristics of a rectangle. The necessary elements for the proof include the definition of a rectangle, which states that it is a quadrilateral with four right angles.

Additionally, we need to consider the properties of diagonals in a rectangle, such as the fact that diagonals bisect each other and form congruent triangles. These properties are crucial in proving that the diagonals of a rectangle are congruent.

Furthermore, we may need to employ other geometric principles and theorems to support the proof. These may include the properties of parallel lines, perpendicular lines, and the congruence of corresponding angles and sides in triangles. By utilizing these principles and theorems, we can establish the necessary conditions to prove that the diagonals of a rectangle are congruent.

In conclusion, when proving that the diagonals of a rectangle are congruent, it is essential to consider the definition and properties of rectangles, as well as employ relevant geometric principles and theorems to support the proof.

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Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

Answer:

the answer would be X=20⁰

Answer:

x = 20

Step-by-step explanation:

Given:

AB , CD, EF are straight lines

To Find:

Find the value of x

Solve:

Let the point of intersection of the lines AB, CD and EF  be O.

Therefore,     {Opposite angles }

∠ \(AOE=\) ∠ \(BOF=3x^o\)

∠\(COF=\) ∠ \(EOD=4x^o\)

∠\(BOD=\) ∠ \(AOC=2x^o\)

Note:

Sum of all angles = 360 degree

Since we know that sum of all angles equals to 360 degree.

Hence,

\(2(2x ^o )+2(4x ^o )+2(3x ^o )=360 ^o\)         {Simplify}

\(18x^o=360^o\)            {Divide each side by 18}

\(x=20\)

So the value of x equal 20

Kavinsky~

Answer:

Option B is correct

Step-by-step explanation:

the hypotenuse of the triangle on the right side is

h²= 3² + 4²

h²= 25

h=5

the x is

13² = 5² + x²

13² - 5² = x²

169 - 25 = x²

144 = x²

12 = x