pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answer:

Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.

Answer:

1/6

Step-by-step explanation:

For Omar to drive, he has to get a six when a die is rolled ;

The probability that Omar will get to drive his car is :

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6)

P(rolling a 6) = required outcome / Total possible outcomes

P(rolling a 6) = 1/6

Probability of Omar driving his car is 1/6

Answer:

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.

This means that [tex]\mu = 55, \sigma = 15[/tex]

What proportion of women have HDL below 45 mg/dl or less?

This is the p-value of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 55}{15}[/tex]

[tex]Z = -0.67[/tex]

[tex]Z = -0.67[/tex] has a p-value of 0.2514

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Answer:

The desired data-set is: {12,12,12,12,12,12,12}

Step-by-step explanation:

n = 7

Data set of 7 elements.

x = 12

Mean of 12

S = 0

Standard deviation of 0.

Desired data-set:

Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.

The desired data-set is: {12,12,12,12,12,12,12}

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

[tex]A \to Amount[/tex]

[tex]t \to time[/tex]

Given

[tex]A(0) = 200[/tex] --- initial

[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes

Required

[tex]A(10)[/tex] --- amount left after 5 minutes

To do this, we make use of:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(5) = 160[/tex] implies that:

[tex]160 = 200 * e^{k*5}[/tex]

Divide both sides by 200

[tex]0.80 = e^{k*5}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.80) = \ln(e^{k*5})[/tex]

[tex]\ln(0.80) = \ln(e^{5k})[/tex]

[tex]\ln(0.80) = 5k\ln(e)[/tex]

So, we have:

[tex]-0.223 = 5k[/tex]

Divide by 5

[tex]k = -0.045[/tex]

So, the function is:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(t) = 200 * e^{-0.045t}[/tex]

The amount after 10 minutes is:

[tex]A(10) = 200 * e^{-0.045*10}[/tex]

[tex]A(10) = 200 * e^{-0.45}[/tex]

[tex]A(10) = 127.53[/tex]

Answer:

2/3

Step-by-step explanation:

to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format

The slope intercept form of a liner equation is:

Y = mx + b

Where m is slope and b is the y - intercept value.

solving the equation in the problem for y produces :

3x - 3x + 2y = -3x - 5

0 + 2y = 3x - 5

2y = - 3x - 5

2y = -3x - 5

2 2

y = - 3 x - 5

2. 2

Therefore the slope of this line is m = - 3

2

the slope of perpendicular line is the negative inverse of the slope of the line we are given,or

- 1

m

so for our problem the slope of a perpendicular line is - - 2 = 2

3. 3

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Answer:

6:8

Step-by-step explanation:

6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2

Answer:

59.44

Step-by-step explanation:

Nine employees If an electronic company retired last year

The retirement ages are listed below

56, 65, 62, 53, 68, 58, 65, 52, 56

The mean retirement age can be calculated as follows

= 56+65+62+53+68+58+65+52+56/9

= 535/9

= 59.44

Hence the mean retirement age is 59.44

Answer:

The correct answer is A

Step-by-step explanation:

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Answer:

d. employed individuals aged 25-29

Step-by-step explanation:

"Population" in a research study is the comprehensive group that the experimenter or the researcher is interested in.

It is given that US Census Bureau, showed that percentage of the employed individual who are of age group 25 years to 29 years are college educated and is at all time high.

The research study focuses on the specific age group of individuals those who graduated form college or at least have a bachelor degree.

Thus the population of the research study those who studied in each of the four years are the employed individuals aged from 25-29.

Answer:

3 Pounds of Coffee

Step-by-step explanation:

To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.

Much appreciated if this is marked as brainliest :)

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

Answer:

Mark up % = 25%

Step-by-step explanation:

Cost of 100 shirts = 2000

Cost of 1 shirt = 2000/100 = 20

Selling price of  1shirt = 25

[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

===========================================================

Explanation:

Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.

Effectively, this is the same as using the formula below

S = 6x^2

S = 6*5^2

S = 6*5*5

S = 150

x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5

Answer:

y = -4x + 25

Step-by-step explanation:

[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]

Equation of line :

 [tex](y - y_1) = m(x - x_1)[/tex]

 [tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]

Answer:

0=4x+y-5

Step-by-step explanation:

slope(m)=-4

y-intercept(c)=5

now, the equation joining the straight line satisfy the equation,

y=mx+c

or, y= -4x+5

or, 4x+y-5=0

or, 0=4x+y-5

it is the required equation.

Answer:Ping Pong Balls

Step-by-step explanation:

Answer:

-(a-b) (3-4x). hope this helps

Answer:

the answer to this is 10 i think sorry if it is wrong

Step-by-step explanation:

The triangles are similar and the measure of BC = 60/7 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔADE

Now , ΔABC and ΔADE are similar triangles

where corresponding sides of similar triangles are in the same ratio

So , AD / AB = DE / BC

On simplifying , we get

7 / 10 = 6 / BC

Multiply by BC on both sides , we get

BC ( 7/10 ) = 6

Multiply by 10 on both sides , we get

7BC = 60

Divide by 7 on both sides , we get

BC = 60/7

Hence , the measure of BC = 60/7 units

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ3

Answer:

the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)

the formula is 0.3*0.5^n-1

the formula for finding the nth term of a geometric sequence preset would be

a*r^n-1

a is first term

r is common ratio

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

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Answer: d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

Answer:

True

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation: