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?

Answers

Answer 1

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer 2

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft


Related Questions

Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know

Answers

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.

−9(4 − 3j)

A. 36 − 27j
B. 36 + 27j
C. −36 + 27j
D. 36 + j

Answers

Answer:

C

Step-by-step explanation:

-9×4

= -36

...

-9 × -3j = 27j

THEREFORE...

-36+27j

Help plss will give brainliest

Answers

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.

EQUATION:
1. If the venue needs to sell 86 tickets to break even, then how much money have they invested
in the concert?
2. The venue has a maximum capacity of 200 people. If it sells out, how much revenue will the
concert earn?
3. Describe how you know that this is a proportional relationship.
4. What does the ordered pair (0,0) represent in this situation?
5. What does the ordered pair (6,204) represent in this situation?
OManeuvering the Middle LLC, 2017

Answers

Answer:

124

Step-by-step explanation:

A bottled water company charges $8 per month for a water
cooler and $5 per bottle b of water. Write an equation that
represents the total cost C for monthly water service.

Answers

8+5b=c $8 a month added to $5 multiplied by amount of water bottles = the total cost a month

Can you please help me answer this question ?( will mark brainliest )

Answers

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%

is 4.23x 10 exponent negative 5 greater than 1 or less than 1. explain how you know

Answers

Answer:

less than 1

Step-by-step explanation:

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

what your expect to gen.math subject​

Answers

can you elaborate on ur question
i do not understand the question

Are these two expressions equivalent 42+35 and 7(6+5)

Answers

Answer:

Yes

Step-by-step explanation:

what will happen to the area of a square if the length of its sides are halved​

Answers

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

help find missing angle??

Answers

As both lines and triangles have to have complete 180 degrees, we can deduce that the other angle by C is 130 degrees, as 180-50 is 130. Then, we add 130 to the other 35 degrees we have in the triangle, resulting in 165 degrees. From there, as we know that triangles must have 180 degrees altogether, we can find the missing angle by calculating 180-165, which results in 15.
Therefore, we know that the missing angle is 15 degrees.

What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7

Answers

Answer:

B

Step-by-step explanation:

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

30-8=22

22=22

Which word signals a sequence text structure?

both
finally
similarly
since

Answers

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.

find the value of x.

Answers

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

A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth. The building is about feet tall.

Answers

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

Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.

Answers

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].

Brittany graphs the point (6,3) on a coordinate grid, which describes where she should plot the point of she starts at the origin?
A) 6 units to the left and 3 units up
B) 6 units up and 3 units to the left
C) 6 units to the right and 3 units up
D) 6 units up and 3 units to the right

Answers

Answer:

C

Step-by-step explanation:

Write each equation in slope intercept form the graph

Answers

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

A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old

Answers

Answer:

20

    Step-by-step explanation:

is the answer       ok    srry if wrong

jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?

Answers

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

The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²

∵ 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

hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction

∵ 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.

Round 15.78947368 to two decimal
Places

Pls pls helppp

Answers

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,

The given number is 15.78947368.Here we have to rounded in 2 decimal places.

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

will mark brainles if answered fast There are 72 items on Ginny bookshelf 1/3 of items are hardcover books. 4/9 of the items are softcover books The many DVDs are on Ginny's shelf?

Answers

I think it’s 16 because 1/3=3/9 of hardcover books
3/9+4/9=7/9
2/9 is DVDS
72/9=8
8x2=16

What's the value of
z? - 3x + 1
when x = -2 and y = 42

Answers

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

A. Name a line segment

B. Name an endpoint

Answers

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

Write 9(39) using the Distributive Property. Then simplify.

Answers

9 x 3 = 27
9 x 9 = 81
27+81= 109

jerry has 5115 in his savings account and $65 dollars in his checking account If Jerry deposits 520 to his savings account each week and 545 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?

Answers

Answer:

I

Step-by-step explanation:

i think 202 weeks. 5115-65= 5050. since the difference between 520 and 545 is 25 divide 5050 by 25 which is 202. not sure this is correct but like i think...

A graph of a quadratic function is shown below.

What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)

Answers

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

B (800, 10).

What is the vertex of a quadratic equation?

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:

do you guys know this by any chance

Answers

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.

Can anyone please help me with this?

Answers

Slope is 4 and y intercept is -2
slope is 5/2 (rise over run) and y-intercept is -2

Help me please ;-;-;-;-;​

Answers

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

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