Suppose that an airplane is currently flying at an altitude
of 31,680 feet and will be landing on a tarmac 120 miles
away. Find the average angle at which the airplane must
descend for landing. Round your answer to the nearest
unit.

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3x from both sides of the equation:

3x (-3x) + 4y = (-3x) + 20

4y = -3x + 20

Next, divide 4 from both sides of the equation:

(4y)/4 = (-3x + 20)/4

y = (-3/4)x + 5

[tex]y = -\frac{3}{4}x + 5[/tex]

~

Note the equation.

y = mx + b

y = y

m = slope = [tex]-\frac{3}{4}[/tex]

x = x

b = y-intercept = 5

Answer:

B is the correct answer

Answer:

Step-by-step explanation:

[tex]\tan \theta=\frac{50}{18}=\frac{25}{9}\\\theta=tan^{-1} (\frac{25}{9})\approx 70^\circ[/tex]

Answer:

huh

Step-by-step explanation:

Answer:

a and c I'm 99percent shure

Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

∴

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

∴

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

∴

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

Answer:

I'm not completely sure what you're asking, but the equation is slope-intercept form. That's how you'd describe the given equation.

Answer:

the y-value is 1 less than the square of the x-value

Step-by-step explanation:

Answer:

7,500,000,000,000 it think

Step-by-step explanation:

Answer:

$1.30

Step-by-step explanation:

What you do is add the original 65 cents to the additional 65 cents that were shown to get 130. Since it's more than 100 you make it into dollars, so the final answer is $1.30.

Answer:

$1.30

Step-by-step explanation:

You need to know how coins look like. The middle one is a quarter and the other four are dimes. We know that quarters are worth 25 cents and dimes are worth 10 cents. Because there are 4 dimes, you do 4x10 which is equal to 40. We know that there is only one quarter so we do 40+25 which is equal to 65. Therefore, the tip is 65 cents Then, you add 65 cents to 65 cents again because Faaz had already put 65 cents there. 65+65 is equal to 130. 130 is equal to 1 dollar and 30 cents. Therefore, the tip is $1.30

Answer:

45 ÷ 9, 7.6s

Step-by-step explanation:

9) A quotient is a result of dividing a quantity by another quantity. We see that 45 ÷ 9 is a form of division. We could say that 45 is divided into 9 parts. 45 ÷ 9  can also be written in fractional form: [tex]\frac{45}{9}[/tex]. Lastly, we see that the quotient would be 5.

10) A product is a result of multiplying a quantity by another quantity. We see that 7.6s is a simplified form of multiplication that actually represents 7.6 × s.

7.6 is a known numerical value. It is the coefficient of the variable x, which we do not know the value for.

Answer:

households

Step-by-step explanation:

An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.

In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.  

The observational units in this will be households.

An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.

In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.

So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.  

Thus the observational units in this will be households.

To know more about Observation follow

https://brainly.com/question/25843544

cylinder

Step-by-step explanation:

the basses is top and bottom so if there circular on top and bottom and curved surface for the body its a cylinder

Answer:

5

Step-by-step explanation:

52-37 is 15 . divide by 3 and u get five

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

nos etu  mdei

Step-by-step explanation:

Answer:

33in squared, so B

Step-by-step explanation:

the area of a triangle is (Base x height)/2

The area of a square is just length x width

Now solve

since each triangle is the same and there a 4 triangles do

4(3x4) which is 4(12)

4 x 12= 48

48/2= 24

3 x 3 for the square

24+9=33

Hope this helps!

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

Answer:

20 grams

Step-by-step explanation:

I did this, but I'm not sure if I'm 100% correct. Here is my answer though:

m=F/a

m=11.2/520

m=0.02kg

0.02kg=20 grams

Answer:

0.02kg

Step-by-step explanation:

Answer:

9-3

Subtract 3 from 9 and you get 6

Question:

A lighthouse is located on an island 3 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 9 revolutions per minute, how fast does the beam of light move towards the point on the shore closest to the island when it is 52 miles from that point

Answer:

The beam of light moves at [tex]16278\pi[/tex] miles/min

Step-by-step explanation:

This question is illustrated with the attached image

Taking the instructions in the question, one at a time.

A revolution of 9 per minute implies that:

[tex]\frac{d\theta}{dt} = \frac{9 * 2\pi\ rad}{1\ min}[/tex]

[tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

Take tan of the angle in the attachment:

[tex]tan(\theta) =\frac{52}{3}[/tex]

Differentiate both sides with respect to time

[tex]\frac{d\ tan(\theta)}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Rewrite as:

[tex]\frac{d\ tan(\theta)}{d\theta} * \frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In calculus:

[tex]sec^2(\theta) =\frac{d\ tan(\theta)}{d\theta}[/tex] -- Chain rule

So:

[tex]sec^2(\theta) *\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

In trigonometry:

[tex]sec^2(\theta) = tan^2(\theta) + 1[/tex]

So:

[tex](tan^2(\theta) + 1)\frac{d\theta}{dt} =\frac{52}{3} * \frac{dx}{dt}[/tex]

Recall that:

[tex]tan(\theta) =\frac{x}{3}[/tex]

[tex]((\frac{52}{3})^2 + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{52^2}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704}{9} + 1)\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2704+9}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex](\frac{2713}{9})\frac{d\theta}{dt} =\frac{1}{3} * \frac{dx}{dt}[/tex]

Recall that: [tex]\frac{d\theta}{dt} = 18\pi \frac{rad}{min}[/tex]

[tex](\frac{2713}{9}) * 18\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

[tex]2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt}[/tex]

Multiply both sides by 3

[tex]3 * 2713 * 2\pi =\frac{1}{3} * \frac{dx}{dt} * 3[/tex]

[tex]3 * 2713 * 2\pi =\frac{dx}{dt}[/tex]

[tex]16278\pi =\frac{dx}{dt}[/tex]

[tex]\frac{dx}{dt} = 16278\pi[/tex] miles/min

Hence:

The beam of light moves at [tex]16278\pi[/tex] miles/min

Answer:

24 square yards

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

Hence 24 square yards of carpeting is needed

Answer:

9  

Step-by-step explanation:

5-(-4) =

5 + 4 = 9

Hope that helps!9

Answer:

the constant of proportionality would be 9

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

Answer:

34

24

Step-by-step explanation:

divide 25 by 3

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked