an airplane begins its descent with an average speed of 240 at an angle of depression of . how much altitude will the plane lose in ? round to the nearest tenth of a mile.

Answer:

B

Step-by-step explanation:

Using slope-intercept form, the slope is 3/2.

Answers:

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Explanation:

Once we have established that all three angles are congruent and all three sides are proportional, we can conclude that the two triangles are similar.

To prove that the two triangles are similar, we need to show that all three angles are congruent, and all three sides are proportional.

We know that angle N is congruent to angle Q, but we need to find additional information to prove that the triangles are similar. One possible piece of information could be the length of one side or the ratio of two sides.

If we know the ratio of the lengths of two corresponding sides in the two triangles, we can use that information to show that all three sides are proportional.

Alternatively, if we know the length of one side in both triangles, we can use the angle-angle similarity theorem to show that all three angles are congruent.

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The equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

What is perpendicular lines?

When two geometric objects intersect at a right angle, they are considered to be perpendicular in elementary geometry. By using the perpendicular symbol,, the condition of perpendicularity can be graphically represented. Between two lines, a line and a plane, or between two planes can be used to define it.

Consider the given equation of line

5x + 4y = 10

Convert it into the form y = mx + c

⇒ 4y = -5x + 10

y = -5/4x + 10/4

y = -5/4x + 5/2

Here the slope of line is, -5/4.

The slope of perpendicular line is negative reciprocal of the slope of given line.

So, the slope of perpendicular line is,

\(-\frac{1}{(-5/4)} = \frac{4}{5}\)

Also the line passes through the point (5, -4).

By using the point slope form to find the equation of line

\(y-y_1 = m(x-x_1)\\y-(-4) = \frac{4}{5}(x-5)\\ y+4=\frac{4}{5}x - 4\\ y = \frac{4}{5}x - 4 - 4\\ y = \frac{4}{5}x - 8\)

Hence, the equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

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Distributive Property of real numbers states the following statement

a( b + c ) = ab + bc

The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

For example:

1. 5 x ( 3 + 8 ) = 5x3 + 8x5

2. 10 x ( 9 - 8 ) = 10x9 - 10x8

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

For example:

1. 5 x ( 4 x 2 ) = ( 5 x 4 ) x 2 = ( 5 x 2 ) x 4 = 40

firstly we are grouping 4 and 2 together and multiplying them first then multiply it by 5.

secondly we are grouping 5 and 4 together and multiplying them first then multiply it by 2.

thirdly we are  grouping 5 and 2 together and multiplying them first then multiply it by 4.

The basic difference between Distributive Property and Associative Property.

Hence, Distributive Property of real numbers states the following statement: a( b + c ) = ab + bc

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Step-by-step explanation:

here's an answer for thee

Answer:

A

Step-by-step explanation:

example -2 is smaller than 1. and -7 is smaller than -2

Part a: The amount of leather needed to create both drum heads is 2769.48 cm².

Part b: Total surface area of Iranian cylindrical drum: 4022.34 cm².

A cylinder is just a 3D solid shape made up of two bases that are parallel and identical and are connected by a curved surface.

Part a: The amount of leather needed to create both drum heads.

Amount of leather = 2 * area of circle

Amount of leather = 2 * πr²

Amount of leather = 2 * 3.14 * 21²

Amount of leather = 2769.48 cm².

Thus, the amount of leather needed to create both drum heads is 2769.48 cm².

Part b: Total surface area of Iranian cylindrical drum:

TSA = 2πr(h + r)

TSA = 2*3.14*21*(21 + 9.5)

TSA =

Thus, the total area of wood used to make the body of the drum 4022.34 cm².

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Answer: 1. X=4

2. X=12

3. X=5

4. B=1

Step-by-step explanation:

The correct answer is D, open market purchase, increasing the reserve requirement, and decreasing the discount rate.

When the Fed judges inflation to be the most significant problem in the economy and wishes to employ all three of its policy instruments, it will implement expansionary monetary policy.

This involves increasing the money supply in the economy to stimulate growth and reduce inflation.
To do this, the Fed will conduct open market operations, which involve purchasing government securities from banks.

This injects money into the banking system and increases the amount of reserves banks have available to lend out. This increase in lending stimulates economic growth and reduces inflation.
In addition to open market operations, the Fed will increase the reserve requirement, which is the amount of money that banks are required to hold in reserve.

This reduces the amount of money banks have available to lend out and helps to control inflation.
Finally, the Fed will decrease the discount rate, which is the interest rate at which banks can borrow money from the Fed.

This makes it cheaper for banks to borrow money and encourages them to lend more, stimulating growth and reducing inflation.
In summary, when the Fed judges inflation to be the most significant problem in the economy and wishes to employ all three of its policy instruments, it will implement expansionary monetary policy by conducting open market operations, increasing the reserve requirement, and decreasing the discount rate.

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The coordinates of vertex B' are (-12x, 12y) after reflecting triangle ABC across the y-axis dilating it by scale factor of 12 with the origin as the center of dilation.

To find the coordinates of vertex B' after reflecting triangle ABC across the y-axis and dilating it by a scale factor of 12, we need to follow a series of steps.

First, we need to determine the coordinates of vertex B. Let's assume that vertex B has coordinates (x, y).

Next, we need to reflect the point across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the coordinates of the reflected point B' are (-x, y).

Finally, we need to dilate the reflected point B' by a scale factor of 12 with the origin as the center of dilation. When dilating a point with respect to the origin, we simply multiply its coordinates by the scale factor. Therefore, the coordinates of the dilated point B' are (-12x, 12y).

In summary, the coordinates of vertex B' are (-12x, 12y) after reflecting triangle ABC across the y-axis and dilating it by a scale factor of 12 with the origin as the center of dilation.

It's important to note that this transformation changes the size and position of the triangle but does not change its shape or angles. The triangle remains similar to its original form, just larger and reflected across the y-axis.    

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Answer:

D

Step-by-step explanation:

the answer should be D

Step-by-step explanation:

when looking this up it seems foil and multiplying binomial go hand and hand but this more closely resembles D

Answer:

20

Step-by-step explanation:

3x+50=6x-10 (vertically opposite angles)

50+10=6x-3x

60=3x

60/3=x

x=20

Answer:

x = 20

Step-by-step explanation:

6x - 10 = 3x + 50       {Vertically opposite angles}

6x        = 3x + 50 + 10     {Combine like terms}

    6x    = 3x + 60        {Subtract 3x from both sides}

6x -3x  = 60

     3x = 60         {Divide both sides by 3}      

        x = 60/3

x = 20

Given :

A freight elevator has a weight limit of 15,000 pounds.

Workers have loaded items weighing 2.6 tons onto the elevator.

To Find :

How many more pounds of freight can they load before reaching the weight limit.

Solution :

We know, 1 ton = 2000 pounds.

So, 2.6 ton = 2.6 × 2000 = 5200 pounds.

Now, number of pounds of freight can be loaded before reaching the weight limit is :

N = 15000 - 5200 pounds

N = 9800 pounds

For the exponential distribution in question, Mean time (in minutes) between customers, is 2.5 minutes and P(2 < X < 10) for X ~ Exp(0.25)

The arrival times of customers at the counter are given as follows the Exponential Distribution: X Exp(0.4), we have the following questions to solve: We know that P(a < X < b) = F(b) - F(a) for X ~ Exp(λ)and the cumulative distribution function (CDF) of Exponential distribution is given as:

The mean time u =1/λ = 1/0.4 = 2.5

F(x) = 1 - e^(-λx). Therefore, P(2 < X < 10) = F(10) - F(2) = [1 - e^(-0.25*10)] - [1 - e^(-0.25*2)] = e^(-0.25*2) - e^(-0.25*10) ≈ 0.018a) P(X > 5) for X ~ Exp(0.25)P(X > 5) = 1 - P(X < 5) = 1 - F(5) = 1 - [1 - e^(-0.25*5)] = e^(-0.25*5) ≈ 0.082b) P(X < 3) for X ~ Exp(0.25)P(X < 3) = F(3) = 1 - e^(-0.25*3) ≈ 0.427c) P(X > 7 | X > 5) for X ~ Exp(0.25)

We know that P(A | B) = P(A and B)/P(B)

Therefore, P(X > 7 | X > 5) = P(X > 7 and X > 5)/P(X > 5) = P(X > 7)/P(X > 5) = (1 - F(7))/(1 - F(5)) = (1 - e^(-0.25*7))/(1 - e^(-0.25*5)) ≈ 0.4

Suppose X ~ U(2, 7). We have to determine P(X > 6 | X > 5). Given X ~ U(2, 7), we know that P(X > 6 | X > 5) = P(X > 6 and X > 5)/P(X > 5) = P(X > 6)/(1 - P(X ≤ 5))

Let's calculate P(X > 6)P(X > 6) = 1 - P(X ≤ 6) = 1 - (6 - 2)/(7 - 2) = 3/5P(X ≤ 5) = (5 - 2)/(7 - 2) = 3/5

Therefore, P(X > 6 | X > 5) = (3/5)/(1 - 3/5) = 3

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Circle is on of shape that consist of all points in a plane that are at a given distance from a given point or circle's centre. We also can define circle as the curve traced out by a point that moves in a plane. Each points have constant distance from its centre.

What is diameter?

The diameter of a circle is the largest distance between any two points on a circle. The diameter of a circle is stretched from edge to edge and cuts through the center of circle. A circle's diameter splits the circle shape in half.

What is radius?

The distance between any point of a circle to the center of a circle. So, the radius of a circle is run from its center to its edge.

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Answer:

Beth x

Candice x + 3

Aran x -4

3x -1 = 35

x = 12

Beth 12

Candice 15

Aran 8

Step-by-step explanation:

Answer:

jdjdhdbdhfbcdipigckug

Answer:

f ( x )  =  { 4 x  +  1 xxx x  ≥  0

        {2 x  +  1 xxx x  <  0

Step-by-step explanation:

If  x  ≥  0  then  | x |  =  x

and  if  x  <  0  then  | x |  =  − x

hope it helps!

Answer:

here is the answer -(12)/(-3)

Step-by-step explanation:

PLEASE MARK BRAINILIEST!

Answer:

4

Step-by-step explanation:

oim pretty sure because when you mutiply, u are supposed to add the exponents and 3 + 4 = 7; hope this is correct

Answer:

4pi or 12.6

Step-by-step explanation:

I hope this helps

This is impossible because the third column does not depend on the first two columns.

The third column's values are linear combination of the first two columns. the third column of the matrix as a linear combination of the first two columns, This can be seen by the fact that the third column has values which don't fit the pattern of the first two columns. For example, the first value in the third column (21) is not equal to an any linear combination of the first two columns. Thus, it is impossible to write the third column as a linear combination of the first two columns.

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For the person to reach a retirement savings goal (future value) of $100,000 at age 55, they need to invest an additional $81 monthly.

The additional monthly investment is computed as the difference between the expected monthly deposits and the intended monthly deposits.

The expected monthly deposits (periodic payments) are determined using an online finance calculator.

Current age = 21 years old

Retirement age = 55 years old

Investment period = 34 years (55 - 21)

N (# of periods) = 408 months (34 years x 12)

I/Y (Interest per year) = 2.5%

Present Value = $0

FV (Future Value) = $100,000

Results:

Periodic Payments (PMT) = $155.75

Sum of all periodic payments = $63,546

Total Interest =  $36,454

Intended monthly deposits = $75

Additional monthly deposits required = $80.75 ($155.75 - $75) = $81

Thus, the investor needs to invest an additional $81 to the $75 monthly deposits to reach a future value of $100,000 in 34 years, compounded at 2.5% monthly.

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We are given the parametric equations x = cos(2t) and y = cos(t) for a particle's position (x, y) as t varies in the interval 0 ≤ t ≤ 6π.

We need to find the distance traveled by the particle during this time interval and compare it with the length of the curve.

To find the distance traveled by the particle, we need to calculate the arc length of the curve defined by the parametric equations. The arc length formula for a parametric curve is given by:

L = ∫[a,b] sqrt[(dx/dt)^2 + (dy/dt)^2] dt

In our case, we have x = cos(2t) and y = cos(t), so we need to find dx/dt and dy/dt:

dx/dt = -2sin(2t)

dy/dt = -sin(t)

Substituting these derivatives into the arc length formula, we have:

L = ∫[0,6π] sqrt[(-2sin(2t))^2 + (-sin(t))^2] dt

Simplifying the expression inside the square root, we get:

L = ∫[0,6π] sqrt[4sin^2(2t) + sin^2(t)] dt

We can then evaluate this integral using appropriate techniques, such as trigonometric identities and integration rules. After finding the value of L, we can compare it with the distance traveled by the particle to see if they are the same or different.

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Step-by-step explanation:

This may help you

Thank you

Answer:

1200

Step-by-step explanation:

4 x 300= 1200

Recheck your problem after you think you have found the soulution

1200 ÷ 4 = 300

Hope this helps :)