From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?

Answer:

In the first rectangle,

one side =15*1=15

other side = 15* 3=45

in the second rectangle,

one side = 25*1=25

other side= 25*3=75

Step-by-step explanation:

Answer:

x(x−8y)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = xx

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

than your answer is x(x-8y)

Answer:

 120

Step-by-step explanation:

i did it

Answer:

75

Step-by-step explanation:

Answer:

it is 15.6ft because you need to add 7.8+7.8= 15.6ft

Answer:

-11/4

Step-by-step explanation:

The y intercept has the coordinates of (0,2)

We have two points (0,2) and (4,-9) so we can find the slope using

m= (y2-y1)/(x2-x1)

   = ( -9-2)/(4-0)

   = -11/4

Answer:

-11/4

Step-by-step explanation:

y = mx + c

Point (x,y)

intercept c

slope m

-9 = m(4) + 2

-9 = 4m + 2

make m the subject of the formula

4m = -9-2

4m = -11

divide both sides by 4

m = -11/4

Given:

The two linear equations are:

[tex]x+y=5[/tex]

[tex]y-2x=-4[/tex]

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

[tex]x+y=5[/tex]          ...(i)

[tex]y-2x=-4[/tex]        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting [tex]x=3,y=2[/tex] in (i), we get

[tex]3+2=5[/tex]

[tex]5=5[/tex]

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting [tex]x=3,y=2[/tex] in (ii), we get

[tex]2-2(3)=-4[/tex]

[tex]2-6=-4[/tex]

[tex]-4=-4[/tex]

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

Answer:

no srry

Step-by-step explanation:

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

Answer:

i think it's 10%

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

One member would make 250$ by selling 31.25 rolls. Which if you round up you get 32. You can't sell a quarter of a roll so you must go up one therefore the answer is one person must sell 32 rolls in order to make 300$ including the 50$ already towards his credit.

Answer:

5m+6

Step-by-step explanation:

Hello There!

We can simplify the given expression using distributive property

We can distribute the 2 to the m and - 3

2 * m = 2m

2 * -3 = -6

Now lets distribute the 3 to the m and the 4

3 * m = 3m

3 * 4 = 12

we´re left with

2m - 6 + 3m +12

our final step would be to combine like terms

2m + 3m = 5m

-6 + 12 = 6

so the simplified version would be

5m+6

Answer: x squared equals y

Step-by-step explanation:

Answer:

Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it

Answer:

tan x =  [tex]\frac{f}{e}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Step-by-step explanation:

tan = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

Answer:

68.8 hot dogs

Step-by-step explanation:

27.5 ÷ 4 = 6.875 per minute

6.875x10 = 68.75 hot dogs

Answer:

68.75 hotdogs

Step-by-step explanation:

lets say x = number of hotdogs

27.5/4 = x/10

use cross multiplication:

27.5 (10) = 4(x)

multiply

275 = 4x

divide both sides by 4 to isolate x

x = 68.75

Answer:

im not sure what youre aasking?

2 foot 6 inches???

Step-by-step explanation:

Answer:

Step-by-step explanation:

= 6x2+the number can be your answer.

Answer:

It should look like this

Step-by-step explanation:

hope it helps

Answer:

it's D

Step-by-step explanation:

pls give me da crown

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

Answer:

y=-x+1

Step-by-step explanation:

x+y=1

1. y needs to be by itself so you would subtract the x

2. y=-x+1

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E\: N}}} }: [/tex]

♨ [tex] \underline{ \underline{ \large{ \tt{ T \: O \: \: F \: I\: N\: D}}}} : [/tex]

♨ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T\: I\: O \: N}}}} : [/tex]

☪ [tex] \boxed{ \bf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

~Plug all the known values and then simplify!

⇾ [tex] \large{ \bf{ {9}^{2} = {8}^{2} + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{81 = 64 + {b}^{2} }}[/tex]

⇾ [tex] \large{ \bf{64 + {b}^{2} = 81}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 81 - 64}}[/tex]

⇾ [tex] \large{ \bf{ {b}^{2} = 17}}[/tex]

⇾ [tex] \large{ \bf{b = \sqrt{17}}} [/tex]

We know ;

⟿ [tex] \large{ \bf{cot \theta = \frac{b}{p} = \boxed{ \bf{ \frac{ \sqrt{17} }{8}}}}} [/tex]

⤷ [tex] \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : { \tt{ \frac{ \sqrt{17} }{8} }}}}}}}[/tex]

( Correct me if I'm wrong )

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☄ Let me know if you have any questions regarding my answer !

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

x^2 - 2

Step-by-step explanation:

The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been

x^2 - 2

(3x²+2)-(2x²+4)

write in a different form, remove parentheses

3x²+2-2x²-4

calculate the value of the corresponding terms

x²-2

Answer: Yes, he made a mistake.

A simplified expression would look like this x²-2 and not like this x²+^6.

Answer:

b) 31

Step-by-step explanation:

20 + 5 = 25

25 - 2 = 23

23 + 5 =28

28 - 2 = 26

pattern: add 5 then subtract 2

since we subtract last, we would add 5 on 26:

26 + 5 = 31

Answer:

31

Step-by-step explanation:

In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.

Hope it helped :)

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation: