An airplane is 20 miles from the start of the runway. The angle of depression the

airplane must use to land is 40°. How high is the airplane above the ground? (Round

to the nearest hundredth)

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

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

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

Answer:

An adult ticket is $8.00 and a child's ticket is $5.50.

Step-by-step explanation:

We form a system of 2 equations and solve them.

Let a be the price of adult ticket and c the price of a child's.

2a + 4c = 38         (A)

3a + 3c = 40.5      (B)

Multiply equation A by 3 and equation B by -2:

6a + 12c = 114

-6a - 6c = -81        Adding these 2 equations:

0 + 6c = 33

c = 33/6 = 5.5.

Now we substitute for c in equation A:

2a + 4(5.5) = 38

2a = 38 - 22

2a = 16

a = 6.

Let's now check these results by substitution in equation B:

3a + 3c = 40.5

3(8) + 3(5.5) = 24.0 + 16.5 = 40.5

- so it checks out.

Answer:

- 5i and 5i

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and/ or complex.

Complex roots occur in conjugate pairs.

Given 2 real roots x = 5, x = - 5

There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.

We need to graph the next given inequalities:

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

To find the x-intercept, set y=0

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0

Answer:

9.16

Step-by-step explanation:

4.58/.5

Answer:

9.16

Step-by-step explanation:

4.58

--------

0.5

45.8

--------

5

5 into 45 is 9

9 x 5 = 45

45-45= 0

5 into 8 is 1

1 x 5 = 8

8 - 5 = 3

Bring down the zero: 30

5 into 30 is 6

5 x 6 = 30

30 - 30 = 0

the solution for long division of 4.58

                                                    -------- = 9.16

                                                       5

Hope this helps

The weight of each red marble is 120/5= 24 grams.

The bag contains 25 marbles and the mean weight is 16 grams.

In the bag, there are yellow, green, and red marbles.

Let us suppose the number of red marbles is x, and let the weight of each red marble be y grams.

Hence the total weight of the bag is: y × x + 10 × 12 + 20 × 8 = 25 × 16

y × x = 25 × 16 - 10 × 12 - 20 × 8

y × x = 400 - 120 - 160

y × x = 120 grams

Therefore, the weight of each red marble is 120/x grams.

x is 25-12-8= 5

The weight of each red marble is 120/5= 24 grams.

To know more about mean weight:

https://brainly.com/question/32750508

#SPJ11

Answer:

Richard spent $14.

Step-by-step explanation:

I’m assuming the question is to find how much Richard spent.

Jordan spent $ 12

Total of the bill is $26

So $26 -$12 = $14.

Answer:

C.

Step-by-step explanation:

Answer:

the slope is -4/5

Step-by-step explanation:

to find a perpendicular slope, you take the opposite of the reciprocal of the slope, if I remember correctly.

Answer:

y > 1/3x - 5/3

x-3y < 5

Step-by-step explanation:

We simplify x-3y=5, to y = 1/3x - 5/3

We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.

The shading is above the line which indicates that in y-intercept form we must use >.

y > 1/3x - 5/3

or x-3y < 5

Either of these show the exact same thing.

The given statement "The radical expressions √2 and √12 can be combined to become one radical expression through addition or subtraction. " is true because a single radical expression that represents the two original expressions.

When we simplify a radical expression, we try to write it in its simplest form. For example, we know that √4 is equal to 2 because 2 multiplied by itself gives us 4. Similarly, we know that √9 is equal to 3 because 3 multiplied by itself gives us 9.

We can simplify radical expressions further by combining them using addition or subtraction. For example, √4 + √9 is equal to √13 because we can add 2 and 3 to get 5 and take the square root of 5 to get √5.

Now, let's look at √2 and √12. We can simplify √12 to √(4 × 3) because 4 is a perfect square. This gives us √4 × √3, which simplifies to 2√3.

Therefore, we can write √2 + √12 as √2 + 2√3. This is one radical expression that combines the two original expressions using addition. We can also subtract √12 from √2 to get √2 - 2√3, which is another radical expression that combines the two original expressions using subtraction.

To know more about radical expression here

https://brainly.com/question/3796764

#SPJ4

Answer:

The mean and variance of a y is 5 and 9 respectively.

Step-by-step explanation:

Let x1 and x2 be independent random variables.

Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.

Mean of y,

The mean of y is given by the sum of the means of x1 and x2.

Mean of y = Mean of x1 + Mean of x2

Mean of y = 2 + 3

Mean of y = 5

Thus, the mean of y is 5.

Variance of y,

The variance of y is given by the sum of the variances of x1 and x2.

Variance of y = Variance of x1 + Variance of x2

Variance of y = 4 + 5

Variance of y = 9

Thus, the variance of y is 9.

Know more about mean and variance,

https://brainly.in/question/22592087

#SPJ11

The amount loaned at 11% interest rate is $10,000, and the amount loaned at 15% interest rate is $19,500.

Let's assume that the amount loaned at 11% interest rate is "x" dollars. Since the total loan amount is $29,500, the amount loaned at 15% interest rate can be represented as (29,500 - x) dollars

To find the interest earned for each loan, we can use the formula: interest = principal * rate * time.

For the amount loaned at 11%, the interest earned is 0.11x dollars.

For the amount loaned at 15%, the interest earned is 0.15(29,500 - x) dollars.

According to the given information, the total interest earned for both loans is $53,705.00.

Setting up an equation, we have:

0.11x + 0.15(29,500 - x) = 53,705.00

Simplifying the equation, we get:

0.11x + 4,425 - 0.15x = 53,705.00

-0.04x + 4,425 = 53,705.00

-0.04x = 49,280.00

x = 49,280.00 / -0.04

x ≈ 10,000

Therefore, the amount loaned at 11% interest rate is $10,000, and the amount loaned at 15% interest rate is $19,500.

Hence, $10,000 was loaned at the rate of 11%, and $19,500 was loaned at the rate of 15%.

Learn more about interest rate here:

https://brainly.com/question/27248195

#SPJ11

Known information:

Let us set up some variables for our terms:

Let us set up some equations in terms of our known information

Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:

              (S + M) + L = 24 --->   L + L = 24

              2L = 24

              L = 12

Since L = 12, we know that S = L - 2:

              S = L - 2 = 12 - 2 = 10

Since now we know that L = 12, and S = 10, and L = S + M:

              L = S + M

              12 = 10 + M

               M = 2

So our answer is 2, 10, 12

Hope that helps!

The probability that the sum of the two randomly selected numbers is at least 7 is 12/21, which simplifies to 4/7 or approximately 0.571.

To find the probability that the sum of two randomly selected numbers from the set {1, 2, 3, 4, 5, 6, 7} is at least 7, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

Let's consider the favorable outcomes:

1. Selecting 4 and 3: There are two ways to choose these numbers: (4, 3) and (3, 4).

2. Selecting 5 and 2: There are two ways to choose these numbers: (5, 2) and (2, 5).

3. Selecting 6 and 1: There are two ways to choose these numbers: (6, 1) and (1, 6).

4. Selecting 7 and any number: There are six ways to choose the second number: (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), and (7, 6).

Therefore, the total number of favorable outcomes is 2 + 2 + 2 + 6 = 12.

Now let's consider the total number of possible outcomes:

We are selecting two numbers from a set of seven, which can be done in C(7, 2) ways (7 choose 2). This can be calculated as follows:

C(7, 2) = 7! / (2! * (7-2)!) = 7! / (2! * 5!) = (7 * 6) / (2 * 1) = 21.

So, the total number of possible outcomes is 21.

To know more about probability:

https://brainly.com/question/31828911

#SPJ4

Answer:

\(720^o=4\pi\)

Step-by-step explanation:

Given : \(720^o\)

To Find : What is 720° converted to radians?

Solution :

1 degree = \(\frac{\pi }{180}\) \(radian\)

So, \(720^o=\frac{\pi }{180} *720\)

\(720^o=4\pi\)

So, Option D is true

Hence \(720^o=4\pi\)

Answer:

(3x − 1)(x 8)

Step-by-step explanation:

The confidence interval or the mean noise level is (108.17,150.23) and sample standard deviation is 12.52.

Given noise levels:108,133,140,129,136. and confidence level 98%.

We have to find the confidence level and the sample standard deviation of the given data.

Confidence level=98%.

n=5

Sample standard deviation=\(\sqrt{(x-x bar)^{2} /n-1}\)

=\(\sqrt{626.8/4}\)

=\(\sqrt{156.7}\)

=12.52

critical t value at 98% confidence level with degree of freedom(5-1) is 3.747

Standard error= critical t*s/\(\sqrt{n}\)

Standard error is the difference between the real values and calculated values.

=3.747*12.52/\(\sqrt{5}\)

=46.91/2.23

=21.03

Upper confidence interval=Mean +standard error

=129.2+21.03

=150.23

Lower confidence interval=Mean - standard error

=129.2-21.03

=108.17

Hence the confidence interval is (108.17,150.23) ,sample standard deviation is 12.52 and critical t value is 3.747.

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ4

Answer:

c

Step-by-step explanation:

i think it's correct and helping you

Answer: Yes.

Step-by-step explanation:

Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.

In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:

= 180° - (98° + 35°)

= 180° - 133°

= 47°

Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:

= 180° - (35° + 47°)

= 180° - 82°

= 98°

The triangle is congruent as they all have same angles

Answer:

yes because of ASA or AAS

Step-by-step explanation

got it right

Goodwill acquired and associated legal fees: In the question, XYZ Ltd acquired 100% of Red-X Ltd on 1 July 2021. For this acquisition, XYZ Ltd paid the shareholders of Red-X Ltd a combination of cash, plant and equipment, and land. There are also legal fees of $249,267 involved in acquiring Red-X Ltd. Red-X Ltd’s statement of financial position shows total assets of $393,579 and liabilities of $393,575 on 1 July 2021.In order to determine whether goodwill has been acquired as a result of the acquisition, we first need to calculate the fair value of the consideration transferred.

The fair value of the consideration transferred is as follows: Cash consideration paid: $91,835Fair value of plant and equipment transferred: $327,983Fair value of land transferred: $393,579Total fair value of the consideration transferred: $813,397As we can see, the fair value of the consideration transferred exceeds the fair value of the net assets acquired ($1,049,544 - $393,575 = $655,969). Therefore, goodwill has been acquired as a result of the acquisition. The amount of goodwill acquired can be calculated as follows:Goodwill = Fair value of the consideration transferred - Fair value of the net assets acquiredGoodwill = $813,397 - $655,969Goodwill = $157,428Therefore, goodwill of $157,428 has been acquired as a result of the acquisition.Regarding the potential for including associated legal fees into the cost of acquiring Red-X, the IFRS 3 Business Combinations standard provides guidance on this matter. According to this standard, the costs of acquiring a business should be included in the cost of the acquisition. These costs include professional fees, such as legal and accounting fees, that are directly attributable to the acquisition. Therefore, the legal fees of $249,267 involved in acquiring Red-X Ltd should be included in the cost of acquiring Red-X Ltd.

To know more about legal fees, visit:

https://brainly.com/question/31491796

#SPJ11

If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd and include them in the cost of acquiring Red-X Ltd.

Part 1: Calculation of Goodwill

Goodwill is calculated as the difference between the fair value of consideration paid and fair value of net assets acquired.

Let us calculate the fair value of consideration paid to the shareholders of Red-X Ltd.

Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912

Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386

Fair value of consideration paid = $91,835 + $327,983 + $393,579 = $813,397

Fair value of net assets acquired = Total assets - Total liabilities

Fair value of net assets acquired = $1,049,544 - $393,575

= $655,969

Goodwill = Fair value of consideration paid - Fair value of net assets acquired

= $813,397 - $655,969

= $157,428

Therefore, the amount of goodwill acquired by XYZ Ltd is $157,428.

Part 2: Accounting Treatment of Legal Fees

According to the International Financial Reporting Standards (IFRS), the legal fees associated with the acquisition of a company are recognized as an expense in the statement of profit or loss and are not included in the cost of the acquisition.

Therefore, XYZ Ltd cannot include the legal fees of $249,267 in the cost of acquiring Red-X Ltd.

However, the Accounting Standards for Private Enterprises (ASPE) allow the capitalization of legal fees incurred during the acquisition process.

These legal fees are included in the cost of the acquisition.

If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd.

To know more about assets, visit:

https://brainly.com/question/14826727

#SPJ11

The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.

In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:

1/2 mv^2 = mgh

where v is the velocity of the cylinder at the bottom of the incline.

The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:

v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)

Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

Learn more about velocity here

https://brainly.com/question/80295

#SPJ11

Answer:

27

Step-by-step explanation:

bc m1=31 and m2=29 you subtract 31-29and it is 27

The ordered pairs which make the open sentence true are:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an algebraic expression based on any of the following arguments:

For this exercise, you should evaluate each of the given expressions to determine which inequalities is true when the ordered pairs are substituted. This ultimately implies that, you would have to substitute the ordered pairs into each of the given algebraic expressions and then evaluate.

When ordered pairs = (3, 6), we have:

3x + y < 14

3(3) + 6 < 14

9 + 6 < 14

15 < 14 (False).

When ordered pairs = (7, -7), we have:

3x + y < 14

3(7) + (-7) < 14

21 - 7 < 14

14 < 14 (False).

When ordered pairs = (6, 0), we have:

3x + y < 14

3(6) + 0 < 14

18 - 0 < 14

18 < 14 (False).

When ordered pairs = (-1, 6), we have:

3x + y < 14

3(-1) + 6 < 14

-3 + 6 < 14

3 < 14 (True).

When ordered pairs = (4, -1), we have:

3x + y < 14

3(4) + (-1) < 14

12 - 1 < 14

11 < 14 (True).

Read more on ordered pairs here: https://brainly.com/question/22683073

#SPJ1

Answer: 0.0015813253

Step-by-step explanation:

is you ment to say 14,280 divided by 21 then it would be 632.380952381

Answer:

6-4=2

Step-by-step explanation:

3x2=6 2x2=4

Answer:

id like to get paid weekly

Step-by-step explanation:

Answer:

i dont get it

Step-by-step explanation:

Answer:

2396

Step-by-step explanation:

Let the diameter = d

Let the height = h

Formula

Metric Tons = k * d^4 / h^2

Solution

Metric Tons = 64

d = 2

h = 9

k = ?

(You can't do the second part by not using a ratio unless you  put k in and solve for it)

64 = 2^4 k / 9^2

64 = 8 *k / 81

64 * 81 / 8 = k

5184 / 8 = k

k = 648

Solve for the second example

Metric Tons = d^4 * k / h^2

Metric Tons = ?

d = 5

h = 13

k = 648

Metric Tons = 5^4 * 648 / 13^2

Metric Tons = 625 * 648 / 169

Metric Tons = 2396 rounded.

The value of volume of the figure is,

V = 20 cm³

We have to given that;

A triangular prism is shown.

Hence, We can formulate;

Volume of prism is,

V = 1/3 x b x h

Substitute all the values, we get;

V = 1/3 x 4 x 3 x 5

V = 20 cm³

Thus, The value of volume of the figure is,

V = 20 cm³

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1