A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?

Answer:

The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) [tex]x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0[/tex] Given

2) [tex](x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) [tex](x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) [tex](x+4)^{2}+(y+1)^{2} = 4900[/tex] Square perfect trinomial/Result

According the result, the center of Earth is [tex]C(x,y) = (4, 1)[/tex] and the square of the radius of Earth equals 4900. That is: [tex]r = 70[/tex]

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

[tex](x+4)^{2}+(y+1)^{2}=70.4^{2}[/tex]

[tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex]

Now we transform this into its general form:

1) [tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex] Given

2) [tex]x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16[/tex] Square perfect trinomial

3) [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].

Answer:

f(3) = 4(3)-2 = 12-2 = 10

Step-by-step explanation:

By comparing f(3) and f(x), you can see that it is basically replacing the x in the equation with the value of 3.

Answer:

Yes

Step-by-step explanation:

Answer:

No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.

Answer:

Line Segment = FG

Endpoint = C

Step-by-step explanation:

Line segment means a piece of the line

Endpoint meant a point on the end

Answer:

Step-by-step explanation:

AB is a line segment

 An end point would be point C on  CD

Answer:

= 15.79

Step-by-step explanation:

Find the number in the hundredth place (8) and look one place to the right for the rounding digit (9). Round up if this number is greater than or equal to 5 and round down if it is less than 5.

The given number i.e. 15.78947368 rounded to two decimal places is 15.79.

Given that,

Based on the above information, the calculation is as follows:

Here we have to check whether the digit is below 5 or above. If is above so the next number should be rounded.

Like 15.789

Here 8 is greater than 5

So for two decimals it is 15.79.

Therefore we can conclude that the given number i.e. 15.78947368 rounded to two decimal places is 15.79.

Learn more: brainly.com/question/13549064

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

Answer:

Revenue(net profit) = 720.00 £ (-35%)

Step-by-step explanation:

Given that Poppy Lapel Pins made 1000 Poppy Lapel Pins that costed £1.10 each to make. This is what is subtracted from the sales. Which means 1100£ is what is deducted from the net(total) profit. 1000 * £1.10 = 1110.00£ (cost)

When it says that 35% of these are given to charity, these are the number of pins that they did not make profit off of. It also says the remaining are sold which means that the other 65% are sold since 100%-35% = 65%.

Referring back to how 1000 total pins are sold, we are given that 35% of these are given to charity which are the pins that the company does not make profit off of. Because 35% of these are disregarded from profit 1000 minus 35% of 1000 is 1000 - 350 = 650 pins (number of pins sold for profit).

We are also given that these 650 pins are split up into another set of sales, being 60% of these is sold for 3£ each pin, and the other 40% are sold for 5£ each 2 pins.

Now we can set up an expression to solve for the net profit as a quantity.

(650 × 60% × 3£) + ( 1/2 × 650 × 40% × 5£)

= ( 390 × 3£ ) + ( 260 × 1/2 × 5£) = (1170.00£) + (650£) = (1820.00£).

Then to find the revenue or total income made, we must subtract the *cost* from the *net profit*

Revenue = profit - cost.

Revenue = 1820.00£ - 1100.00£ = 720.00£.

Once that is done, to find the percent margin, we must subtract the revenue from the cost all divided by the cost, and multiplied by 100( to convert it to a precent ).

Margin = ((Revenue-cost)/cost × 100)%

Margin = ((720.00£-1100.00£)/1100£ × 100)% = -380/1100£ × 100%= -0.345454... × 100% ≈ -35%

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

Step-by-step explanation:

Answer:

I

Step-by-step explanation:

Answer:

20

    Step-by-step explanation:

is the answer       ok    srry if wrong

Answer:

C

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

7y - 5  = 9y + 10 + y

7y - 5 = 10y + 10

3y + 10 = -5

3y = -15

y = -5

Answer:

Step-by-step explanation:

7y-5=9y+10+y

7y-5=10y+10

-5=3y+10

-15=3y

y=-5

Answer:

less than 1

Step-by-step explanation:

I know this because since it is a negative exponent you go backwards.

Answer:

the side is halved the area of the square will be one fourth

Step-by-step explanation:

example : 6cm

area : 6x6 = 36

now half of 6 is 3

so : 3x3 = 9

one-fourth of 36 is 9

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 -  8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

Answer:

This is from a test in big ideas ain't it.

Step-by-step explanation:

Cause i have it too sorry for getting your hopes up. i need help on this one too

Answer: 11

Step-by-step explanation:

Based on te question in the picture (which is different from what you wrote)

x^2 - 3x  +  1

-2^2 - 3(-2) + 1

4 + 6 + 1 = 11

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Answer:

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = [tex]\sqrt{218}[/tex]

∴ hypotenuse ≅ 14.76482306

∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.

I believe the answer is 4/5x +2. Sorry if I’m wrong.

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

its finally sorry it tooke so long

Step-by-step explanation:

Answer:

The answer is finally.

Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.

Answer:

x=11

Step-by-step explanation:

take 90+35 = 125

then take 180-125=55

then take 55 divided by 5 to get the answer of 11

Answer:

124

Step-by-step explanation: