Finding the slope of a line.

The speed rate at which the aircraft is gaining altitude is;

dx/dt = 250 miles per hour

Since the aircraft is climbing at 30° to the horizontal. it means there will be a vertical component which will be the altitude and also a horizontal component which will be the horizontal distance covered. while the hypotenuse will be how far it has climbed.

Let us call the vertical component x and the hypotenuse component z.

Thus, from trigonometric ratios, we can say that;

sin 30 = x/z

We are looking for how fast the aircraft is gaining altitude. Thus, using Liebniz notation, we can say this rate is; dx/dt. Thus;

sin 30 = (dx/dt)/(dz/dt)

0.5 = (dx/dt)/(dz/dt)

0.5 × (dz/dt) = dx/dt

Its' speed is 500 mph. This means dz/dt = 500

Thus;

dx/dt = 0.5 × 500

dx/dt = 250 mph

Hence, the speed rate at which the aircraft is gaining altitude is;

dx/dt = 250 miles per hour

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Answer:

option b -8x-6y=-126

2x+6y=72

Step-by-step explanation:

please mark me as brainlest

Answer: B and C

Step-by-step explanation:

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

The inventory of Dollar Dress Shop at cost when the retail method is used is $117, 500.

When using the Retail method to find the inventory at cost, the Beginning inventory, the purchases, and the net sales are used.

The formula for finding the cost of inventory using the retail method is:

= Beginning inventory + Purchases - Net sales

= $ 87, 500 + $ 325, 000 - $ 295, 000

= $117, 500

The inventory cost of Dollar Dress Shop with the retail method is $ 117, 500.

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Answer:

109,275

Step-by-step explanation:

Explanation

 Cost   Retail  

Beginning inventory $ 82,800   $ 87,500  

Purchases   300,000     325,000  

Cost of goods available for sale $ 382,800   $ 412,500  

Less net sales for year         295,000  

Ending inventory at retail       $ 117,500  

Cost ratio ($382,800 ÷ $412,500) = 93%

Ending inventory cost

0.93 × $117,500 = $109,275

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

Point A is located at the origin because to origin is (0,0)

Step-by-step explanation:

Answer

A because the origin is at 0,0 and point A is at 0,0

Step-by-step explanation:

A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.

-Hope this helped

Answer:

Mixed number: 8 and 4/100

Improper fraction: 804/100

Since it says to not simplify, those are the answers.

Answer:6

Step-by-step explanation: I do not have an explanation for you but its 6

Answer:

Step-by-step explanation:

2915 can stay as it is; 15.458 should be rounded down to 15.  Then we have

2915-15, or 2900 (which is a very reasonable estimate).

Answer:

x=(n/15a)-(4/3a) ans.

Step-by-step explanation:

Answer:

-73 , and its called the DIFFERENCE

youre welcome (:

9514 1404 393

Answer:

  (6, 4)

Step-by-step explanation:

The midpoint is found as the average of the coordinates of the end points.

  M = (A +B)/2

  M = ((9, 1) +(3, 7))/2 = (9+3, 1+7)/2 = (12, 8)/2

  M = (6, 4)

The midpoint of segment AB is (x, y) = (6, 4).

Answer:

The constant term represents the initial velocity of the object

Explanation:

If we have an equation with the form:

y = a + bx

Where a is a constant term, we can identify a as the initial value of y or the value of y when x is equal to 0.

So, in this case, if the expression 15 + 5x represents the velocity of an object, we can say that the constant term 15 represents the initial velocity of the object or the velocity of the object at 0 seconds.

The computation shows that the number of pans needed will be 5/6.

From the information given, it should be noted that it was stated that 1/6 of a pan will be needed for one person.

Therefore, the pans that will be needed for the 5 friends will be:

= 1/6 × 5..

= 5/6

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

184

Step-by-step explanation:

Q) {(360/10) × (3+2)} + (2²) = ?

→ {(360/10) × (3+2)} + (2²)

→ (36 × 5) + 4

→ 180 + 4

→ [ 184 ]

Hence, the solution is 184.

Answer:

P odd number, then 20) = 1 /14

Step-by-step explanation:

P( odd number) =  number of odd numbers/ total

number of odd numbers = 3

total = 7

P( odd number)   = 3/7

We keep the tile so that there are only 6 tiles left

P (20) = number of 20/ total

         = 1/6

We multiply the probabilities together

P odd number, then 20) = 3/7 * 1/6 = 3/42 = 1 /14

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Solution

No, the sampling distribution of the proportion is the distribution of the proportions from all samples, not just one.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

Joules (J)

Step-by-step explanation:

treat x as mass and y as joules then apply to kinetic energy formula

Answer:

Its Kinetic energy and Joules (J)

Step-by-step explanation:

I got it correct

Answer:

$45

Step-by-step explanation:

If the original price was $200 you subtract by 40%. After that you subtract it again by $75 and get the cost of how much she will need to pay.

so the answer is B

Answer:

375

Step-by-step explanation:

Answer:

375

Also, is this really a college question?

Step-by-step explanation:

Take equation 2st^2-s^2

If s is equivalent to 3 and t is equivalent to 8, then substitute t for 8 and s for 3 in the equation, which would result in a new solveable equation:

  2(3)(8)^2 -3^2

= 2(3)64-9

= 6(64)-9

= 384-9

= 375

The result would be 375.

The number of boats needed for 1491 people are 20.

What is the cross-product?

The cross product, also known as the vector product in mathematics, is a binary operation on two vectors in a Euclidean vector space that is oriented in three dimensions. It is represented by the symbol times.

We have,
134 people decided to go scuba diving,
523 people decided to neither scuba dive nor go on a boat tour,

So, people go to boat tour = 2148 -(134 + 523)
= 2148 - 657
= 1491
now, since each boat holds 78 people.

\(\frac{1491}{78} = 19\frac{3}{26}\)

= 20 boats.
Hence, the number of boats needed for 1491 people are 20.

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Complete Question
The 2148 guests at a hotel have the. the choice to either go on a boat tour or go scuba diving.  134 people decided to go scuba diving.  523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning.