The air traffic controller at an airport spots a plane at an attitude of 10,000 feet with an angle of elevation of 31. What is the horizontal distance from the plane to the airport?

Answer:

4

Step-by-step explanation:

44 rounded to nearest tenth is 40

:) ur welcome

Answer:

It's 4

Step-by-step explanation:

44 rounded to the nearest tenth is 40

Answer:

Step-by-step explanation:

Smaller Canister:

Height, h = 12cm

Diameter = 9cm

Radius, r = 4.5 cm

[tex]Volume = \pi r^2h\\[/tex]

           [tex]=\pi \times 4.5^2 \times 12\\\\=243 \pi \ cm^3[/tex]

[tex]Surface \ area = 2 \pi r(r + h)\\[/tex]

                    [tex]=2 \times \pi \times 4.5 ( 4.5 + 12)\\\\= \pi \times 9(16.5)\\\\=148.5 \ cm^2[/tex]

Larger Canister:

Measures double the smaller canister, that is

height, H = 24 cm

Diameter = 18cm

Radius, R = 9cm

[tex]Volume = \pi R^2 H\\[/tex]

           [tex]= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi[/tex]

[tex]Surface \ area = 2 \pi R(R+ H)[/tex]

                    [tex]= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2[/tex]

Comparing results :

[tex]Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}[/tex]

Therefore, volume of larger canister is 8 times the volume of smaller canister.

[tex]Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\[/tex]

                                                   [tex]=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}[/tex]

Therefore, surface area of larger canister is 4 times the surface area of smaller canister.

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*2^2*4

=3.14*4*4

=50.24 m^3

Answer: 9.31*10^-3

Step-by-step explanation:

The decimal number 0.00931 written in standard form is 9.31•10^-3

Estimated is 9•10^-3

Heart it if it helps!

Answer:

see below

Step-by-step explanation:

80 =     4*    20

     2*2      2 * 10

                       2 *5

We are breaking the numbers into primes

2*2*2*2*5

Answer:

8.06

Step-by-step explanation:

the most important part of the quadratic function is its vertex. ... Graph the function by finding the vertex and two points on each side of the ... A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 - 16t2 + 32t.

Answer:

Correct answer is B) No, height is not a function of weight because 2 students weigh 165 pounds but have different heights.

Answer:

slope = 3/1

Step-by-step explanation:

select two clear-cut points, i used (1,2 and (2,5)

use slope formula which is the difference of the y-values over the difference of the x-values to get:

(5-2) / (2-1) = 3/1

slope = 3/1 or 3

Check:

to get from point (1,2) to (2,5) you rise by 3 and go over to the right by one unit

Answer:

3

Step-by-step explanation:

Answer:

y = 20 degree

Step-by-step explanation:

angle EOA = 5y (being vertically opposite angles)

angle COE + angle EOA + angle AOD = 180 degree (being linear pair)

2y + 5y + 2y = 180 degree

9y = 180

y = 180/9

y = 20 degree

Answer:

y = 20

Step-by-step explanation:

Angles COE and DOF are vertical angles and are congruent.

m<COE = m<DOF = 2y

<BOA is a straight angle and measures 180 degrees.

m<BOF + m<DOF + m<DOA = 180

5y + 2y + 2y = 180

9y = 180

y = 20

Answer:

(36,-30)

Step-by-step explanation:

y = -30

Solve for x

y = -x+6

-30 = -x+6

Subtract 6 from each side

-36 = -x

Multiply each side by -1

x = 36

Answer:

A. (45, –30)

Step-by-step explanation:

trust me<33

Answer:

[tex] = 3x {}^{2} + x - 3[/tex]

Step-by-step explanation:

i cant help

Answer:

Part A)

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Flight X made $1,350 and Flight Y made $26,250.

Step-by-step explanation:

Let the amount of tickets sold by Flight X be represented by x and the amount of tickets sold by Flight Y be represented by y.

Part A)

The airline sold 120 tickets in total. Hence:

[tex]x+y=120[/tex]

Each x ticket costs $90 and each y ticket costs 250. The total income was $27,600. Thus:

[tex]90x+250y=27600[/tex]

Our system of equations is:

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Solve the system of equations. We can use substitution. From the first equation, subtract y from both sides:

[tex]x=120-y[/tex]

In the second equation, we can divide everything by 10 and substitute in x:

[tex]9(120-y)+25y=2760[/tex]

Simplify:

[tex]16y+1080=2760[/tex]

So:

[tex]y=105\text{ tickets}[/tex]

Using the equation above:

[tex]x=120-(105)=15\text{ tickets}[/tex]

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Since each ticket of Flight X sold for $90 and Flight X sold 15 tickets, Flight X made $1,350.

Then it follows that Flight Y made $26,250.

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

Answer:

2/2 I'm not sure for that but its base on answer key

Answer:

[tex]66 \frac{2}{3} \%[/tex]

Step-by-step explanation:

[tex]scale \: factor = \frac{scaled \: drawing}{original \: drawing} [/tex]

[tex]∴scale \: factor = \frac{6}{9} [/tex]

Simplify the fraction by dividing both the numerator and denominator by 3:

[tex]scale \: factor = \frac{2}{3} [/tex]

As a percentage, scale factor

[tex] = \frac{2}{3} \times 100\%[/tex]

[tex] = 66 \frac{2}{3} \%[/tex]

Answer:

3.75*A + 2.50*D = 35

A + D = 12

A = 12 - D

3.75*(12-D) +2.5*D= 35

45 - 3.75D + 2.5D = 35

45 - 1.25D = 35 |-35

10 - 1.25D = 0 |+1.25D

10 = 1.25D | /1.25

8 = D

A+D=12

A+8=12 |-8

A=4

If you like it, brainliest would be cool

Answer:

b= 10

Step-by-step explanation:

h=2b, (bh/2)=100, bh=100, b^2=100, b=10

Answer:

B

Step-by-step explanation:

Answer:

1 ; 3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

[tex]6[/tex]

The answer is C:6

Answer:

each teammate contributed 1.43 sorry but i do not know how many members they have because my head hurts

Answer:

B) 6

Step-by-step explanation:

We need to figure out the value of k in x⁴+kx²+36 -> (x²+a)(x²+b) where a+b=k and ab=36 as a=b. Therefore, k needs to be 6 because 6*6=36 and 6+6=12 given a=b.

Answer:

The answer is below

Step-by-step explanation:

Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.

Given the profit function:

P=-2b² + 14b - 20

At breakeven P = 0, hence:

0 = -2b² + 14b - 20

-2b² + 14b - 20 = 0

-2b² + 10b + 4b - 20 = 0

-2b (b - 5) + 4(b - 5) = 0

(b - 5)(-2b + 4) = 0

b - 5 = 0; or -2b + 4 = 0

b = 5; or b = 2

Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000

Answer:

its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is

Step-by-step explanation:

Answer:

$467.8125

Step-by-step explanation:

Percentage increase = 25% × 374.25

New value = 374.25 + Percentage increase

New value =

374.25 + Percentage increase =

374.25 + (25% × 374.25) =

374.25 + 25% × 374.25 =

(1 + 25%) × 374.25 =

(100% + 25%) × 374.25 =

125% × 374.25 =

125 ÷ 100 × 374.25 =

125 × 374.25 ÷ 100 =

46,781.25 ÷ 100 =

467.8125 ≈

467.81

The answer should be diameter.

Answer:

diameter

Step-by-step explanation: