A traffic helicopter descends 142 meters to be 430 meters above the ground, as illustrated in the diagram to the
right. Write an equation to describe the situation using h as the original height of the helicopter. What was the
original height of the helicopter?

Answer:

Hey!

Your answer is 14m (2sf)

Step-by-step explanation:

WE HAVE TO USE PYTHAGORAS! ⇒ a²+b²=c² THEN √c = (unknown side)

Here: 12² + 8²= 208

Now SQUARE-ROOT 208! ⇒ √208

ANSWER: 14.42220510185596

The answers there are rounded up so we round this number to get 14m!

B IS YOUR OPTION!

Answer:

Try 6.5

Step-by-step explanation:

Maybe that might work out

Answer:

-5, 4

Step-by-step explanation:

When finding the slope of all the points they all are supposed to equal -2. (-5, 4) slope is 2, so that is why it is incorrect.

Hope this helps! :)

The function that gives the amount of profit at a given price and number

given are obtained from the relationship between the variables.

a) The profit in terms of the number of tickets sold, P = -0.015·n² + 250·n

(b) The profit in terms of ticket price, is P = -66.[tex]\overline 6[/tex]·p² + 3000·p + 2,333,333.[tex]\overline 3[/tex]

Reasons:

Number of tickets sold at x = $200, is y = 10,000 tickets

Number of extra tickets sold for every $15 price reduction = 1,000 tickets

Number of tickets sold at $185 = 11,000

The cost to fly a person = $100

(a) The rate of change, [tex]\frac{\Delta y}{\Delta x}[/tex], of the number of ticket sold wit price is given as

follows;

[tex]\dfrac{\Delta y}{\Delta x} = \dfrac{11,000 - 10,000}{185 - 200 } = -66. \overline 6[/tex]

The equation in slope and intercept form is therefore;

n - 11,000 = -66.[tex]\overline 6[/tex]·(p - 185)

n = -66.[tex]\overline 6[/tex]·p + 12,333.[tex]\overline 3[/tex] + 11,000 =  -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

[tex]Price \ per \ ticket, \ p = \dfrac{23,333.\overline {3} - n}{66. \overline{6}}[/tex]

The revenue, R = n·x

Therefore;

[tex]R = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}}[/tex]

The profit = Revenue - Cost

The cost = 100·n

[tex]Profit, P = \dfrac{23,333.\overline {3} \cdot n- n^2}{66. \overline{6}} - 100 \cdot n = -0.015 \cdot n^2 + 250 \cdot n[/tex]

(b) The total profit, P, in terms of the price p, for one ticket

Number of tickets sold, n = -66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]

The revenue, R = n·p

∴ R = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p

Cost = 100·n

∴ Cost = 100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex])

Therefore, the profit is given as follows;

Profit = -66.[tex]\overline 6[/tex]·p² + 23,333.[tex]\overline 3[/tex]·p - (100·(-66.[tex]\overline 6[/tex]·p + 23,333.[tex]\overline 3[/tex]))

Therefore;

Learn more here:

https://brainly.com/question/19521015

We want to express the total profit in two different ways.

The answers are:

a) P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100

b) P(p) =  n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)

The given information is:

a) We want to get the profit in terms of the number n of tickets sold.

The number of tickets sold depends on the price, we know that it is a linear relation like:

n(p) = a*p + b

where p is the price.

we know that:

n(200) = 10,000

n(185) = 11,000

If this is a linear relation, the slope is known:

a = -1,000/15$

Then the line is something like:

n(p) =  (-1,000/15)*p + b

We know that if k = 200, then n = 10,000

Replacing that we have:

n(200) = 10,000 =  (-1,000/15)*200 + b

               10,000 + (1,000/15)*200 = b = 23,333.3

Then the number of tickets sold as a function of the price is:

n(p) =  (-1,000/15)*p + 23,333.3

Then the revenue is given by the number of tickets sold times the price, this is:

r(n) = n*p

We can write k in terms of n as:

k = [n - 23,333.3]*(-15/1,000)

Then the revenue as a function of the number of tickets sold is:

r(n) = n*[n - 23,333.3]*(-15/1,000)

The profit is the difference between the revenue and the cost, then the profit function is:

P(n) = n*[n - 23,333.3]*(-15/1,000) - n*100

Where n*100 is the cost.

b) now we want to write the same equation, but this time as a function of the price.

now the revenue is:

r(p) = n*p = [ (-1,000/15)*p + 23,333.3]*p

Then the profit is:

P(p) =  n(p)*p - n(p)*100 = [ (-1,000/15)*p + 23,333.3]*(p - 100)

If you want to learn more, you can read:

https://brainly.com/question/22457123

Answer:

100 cm^3

Step-by-step explanation:

Volume = 10x5x2 = 100

Answer:

100cm3

Step-by-step explanation:

To calculate the volume you have to to 2x5x10=10x10=100

Pls rate brainliest!

Answer:

[tex]1 \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{6} + 1 \frac{2}{3} \\ \\ \frac{1}{6} + \frac{5}{3} \\ \\ \frac{1 + 10}{6} \\ \\ \frac{11}{6} \\ \\ = 1 \frac{5}{6} [/tex]

The right answer is not in the option smh.

Answer:

20 by 20

Step-by-step explanation:

square root of 400 is 20

20 times 20 = 400

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Answer:6/36

Step-by-step explanation:

Answer:

x = 2, y = 5.

Step-by-step explanation:

The solution is the point where the lines cross.

(2, 5)

Answer:

It’s D : 2x - 3y= -3

Step-by-step explanation: I got a 100 on the test.

Answer:

x=−7/8

Step-by-step explanation:

Answer:

the answer is the top right one

Answer:

the tip would be $11.83

Step-by-step explanation:

hope that helps

Answer:

>

Step-by-step explanation:

1.07

Step-by-step explanation:

Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00

Answer: it is 5 years old

Step-by-step explanation: because 12 inches is 1 foot long and5feetis5yearsfootlongfoot

Answer:

3/5 of the crayons are not broken since 2 are broken

The fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be [tex]\dfrac{a}{b}[/tex]

Then, we can interpret it as:

[tex]\dfrac{a}{b}[/tex]    is "a" parts out of "b" parts of a thing.

Here, we're specified that:

Then we get:

Number of crayons that aren't broken = total crayons - number of broken crayons = 5 - 2 = 3

Thus, 3 out of 5 crayons are not broken.

Using fraction, we write it as:
[tex]\dfrac{3}{5}[/tex]

We pronounce it as "three-fifth of total crayons are not broken".

Thus, the fraction of crayons that are not broken if out of 5 crayons, 2 of them being broken is 3/5

Learn more about fraction here:

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Answer:

37

Step-by-step explanation:

Expand the equation

3 x (18 - 3) + 4 x (5 - 7)

Use BODMAS

First find the sum of brackets

18 - 3 = 15

3 x 15 = 45

then

5 - 7 = -2

-8

so

45 + - 8 = 37

BODMAS

B - Brackets

O - Power

D - Divison

M - Multiplication

A - Addition

S - Subtraction

Hope this helped you

:-)

Answer:

12/5

Step-by-step explanation:

tan(G) = opposite side ÷ adjacent side

⇒ tan(G) = 24/10 = 12/5

1) 2:5 ratio

This is a fairly simple process, you count how many of each and then put them in order the way the question asks.

So there are 5 cans and 2 bottles. The question asks "bottles to cans" so the correct answer HAS to be 2:5, NOT 5:2.

2) 3:1

There is 1 spoon and 3 forks. The question asks "forks to spoons" so the correct answer HAS to be 3:1, NOT 1:3

Answer: i got C sorry if its not right

The amount of interest Caitlyn will be charged after the first month is $1.875.

Annual percentage rate(APR) of the credit card = 18%

The monthly percentage rate will be 1/12th of APR.

The Amount charged in the first month =$375

Amount paid in billing cycle = $250

So, the amount on which interest will be levied = $375 - $250 = $125

The interest levied on $125 = 125* (18/12)* (1/100)

The interest levied on $125 = $1.875

Therefore, the amount of interest Caitlyn will be charged after the first month is $1.875.

To get more about interest visit:

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Answer:

3 i think

hope it helps...

Answer: 8.2 x 10^8

Step-by-step explanation:

Answer:

[tex]answer[/tex]

[tex]820000000 = 8.2 \times 10 {}^{8} [/tex]

Step-by-step explanation:

hope this helps you!!!

#ITSCHOCOLOVER

Answer:

48.30

Step-by-step explanation:

42(1.15) = 48.30

Answer:

B and D

Step-by-step explanation:

From inspection of the graph, we can see that as [tex]x[/tex] increases, [tex]f(x)[/tex] tends to 0 (gets increasingly closer to zero, but doesn't actually get there).

Therefore:

B)  [tex]\textsf{as }x\rightarrow +\infty, f(x) \rightarrow 0[/tex]

From inspection of the graph, we can see that as [tex]x[/tex] decreases, [tex]f(x)[/tex] is increasing.

Therefore:

D) [tex]\textsf{as }x\rightarrow -\infty, f(x) \rightarrow +\infty[/tex]

let x rep the foot of the island

Using trig formula

SOHCAHTOA

sin 47° = 950/x

xsin47° = 950

x = 950/sin47°