You observe a plane approaching overhead and assume that its speed is 500 miles per hour. The angle of elevation of the plane is 18° at one time and 57° one minute later. Approximate the altitude of the plane.

Answer:

The proportion is [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex], and the length of the unknown side is [tex]\frac{245}{9}[/tex] or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is [tex]\frac{35}{108}[/tex]. MK and KF are corresponding sides, and their proportion is [tex]\frac{x}{84}[/tex] in which x represents the missing side. The proportions are equal, so [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex]. Multiply both sides by 84 to isolate the variable, and you'll get [tex]x = \frac{35*84}{108}[/tex], which is [tex]\frac{2940}{108}[/tex] or [tex]\frac{245}{9}[/tex].

Answer:

The degree of a polynomial is the highest exponential power of a term

So the answer is 5

Since 4x^5 has the highest power

Hope it helps

Answer:

woah

Step-by-step explanation:

Answer:

See explanations below

Step-by-step explanation:

Given the algebraic expression 2x4– 5x3 + 4x. + 7,

a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4

b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4

c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7

d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.

e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5

Answer:

I don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

Answer:

rate of change

Step-by-step explanation:

The rate of change (ROC) is the speed at which a variable changes over a specific period of time.

Answer:

A. -2/9

Step-by-step explanation:

the actual answer is -0.22222222222, but it is not listed so the next best answer is A

Answer:

The answer is -0.22222222222

Step-by-step explanation:

Im sorry but there is no other answer :(

Answer:

answer is "U"

Step-by-step explanation:

Answer:

U

Step-by-step explanation:

x,y.

go to your left five then up five

Answer:

The missing part of the triangle should be 7

Step-by-step explanation:

Hope this Helped

Answer:

The length of each side of the equilateral triangle is 6.93 cm.

Step-by-step explanation:

Check the image uploaded for diagram;

The length of each side of the equilateral triangle is y;

Apply Pythagoras theorem to determine y;

[tex]y^2 = 6^2 \ + \ (\frac{y}{2} )^2\\\\y^2 = 36 \ + \ \frac{y^2}{4} \\\\multiply\ through \ by \ 4;\\\\4y^2 =144 \ + \ y^2\\\\4y^2 - y^2 = 144\\\\3y^2 = 144\\\\y^2 = \frac{144}{3} \\\\y^2 = 48\\\\y = \sqrt{48} \\\\y = 6.93\ cm[/tex]

Therefore, the length of each side of the equilateral triangle is 6.93 cm.

A equilateral triangle is the triangle in which all the three sides are of equal length in measure.

The side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.

A equilateral triangle is the triangle in which all the three sides are of equal length in measure.

The relation between the height and the side of the equilateral triangle can be given as,

[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]

Given information-

An equilateral triangle has a height of 6 centimetres.

The side of the equilateral triangle which has a height of 6 centimetres can be calculate using the above formula. Thus,

[tex]a=\dfrac{2\times6}{\sqrt{3} }\\a=\dfrac{12}{3} \\a=4[/tex]

Thus the side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.

Learn more about the equilateral triangle here;

https://brainly.com/question/1099318

Answer:

20,24,28

Step-by-step explanation:

It is increasing by 4 each time

Mark me brainliest please :)

Answer:

20, 24, 28

Step-by-step explanation:

yeah

Answer:

X-6 is less than 3

Step-by-step explanation:

=X-6_3

= 6 >3

Answer:

what is the question. Please write exponents as follows: 5x^7.

Answer:

A. -⁹/2

Step-by-step explanation:

Using any two pairs of values form the table, say (-12, 60) and (-6, 33),

Rate of change = ∆y/∆x

= (33 - 60) / (-6 -(-12))

= -27/6

= -9/2

Rate of change = -⁹/2

The rate of change of y with respect to x is -9/2

Option A is correct

For a linear relationship, the rate of change of y with respect to x is given by the formula:

[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

From the table:

[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]

Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]

[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]

Reduce the expression to the lowest term by dividing the numerator and denominator by 4

[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]

The rate of change of y with respect to x is -9/2

Learn more on rate of change here: https://brainly.com/question/8728504

Answer:

25.8

Step-by-step explanation:

divide

Answer:

divide like i said

Step-by-step explanation:

Answer:

its the student

Step-by-step explanation:

mark me brainliset plz

Answer:

8.09

Step-by-step explanation:

Answer:

8.09

Step-by-step explanation:

8.09

Answer:

4,400=m•5,000 and 88%

Answer: Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

= 8x/3 mile

Then

Area of the rectangular park = Length * Width

2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

So the width of the park is 1/2 feet.

hope this helps have a nice day❤️

Step-by-step explanation:

Answer:

C. is the correct answer just that the only difference between then is the negative or minus sign

Answer:

The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount,  so I subtract it from the invoice value:

$5250-$250 (freight)=$5000

Discounted invoice becomes:

$5000-3%*5000(discount)=$4850

Add the freight back to the new invoice:

$4850+$250=$5,100 if paid on April 27

B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Yes the solution to p/9 = 7 is 63.

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13[/tex]

The mean is 40.35 and the standard deviation is 0.13.

Answer:

y≥1/2x is the answer for this problem

Answer:

Step-by-step explanation:

This is a straight forward division problem.

12/(5/8).

The rule for division of fractions is: invert the denominator and multiply.

For this problem: 12/(5/8) = 12 * 8/5 = 96/5.

Answer:

P=4

it's a right answer

Answer:

p = -4

Step-by-step explanation:

p - 8 = 3p

-2p - 8 = 0

-2p = 8

p = -4

Answer:

she earns about 9 dollars and 50 cents an hour

Step-by-step explanation:

Answer:

r=28.5 divided by 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

151.2

Step-by-step explanation:

Answer: 39.1

Step-by-step explanation:

Answer:

te quedan una manzana porque muerdises una manzana