a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?

A Wall That Is 4 Ft. 3 In. Tall Is Next To A Tree. The Figure Shows The Shadows That They Cast. What

Answers

Answer 1

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall


Related Questions

Whoever is awake I need help with math points and brainlest

Answers

Answer:

the first one or A. hope this helps.

Step-by-step explanation:

Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
Back
Next
It looks like 28inches
—————-
3.5 feet

Answers

28 inches = 2 1/3 feet
3.5 feet = 1 1/15 meters

A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?

Answers

Answer:

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

Step-by-step explanation:

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

A baseball has a diameter of 2.8 inches. How many baseballs will fit in a cylindrical barrel
that has a diameter of 4 ft and a height of 6 ft?

Answers

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person

Answers

1/10 because amongst 10 balls there is only one 10th ball there by making only one possible chance of getting ball no 10

7 more than a number ?

A)n+7
B)7+n
C)7-n

Answers

Answer:

B)7+n

Step-by-step explanation:

Answer:

A but see below.

Step-by-step explanation:

A is likely the best answer, although B is also correct. However you should write things in the other they are given.

n + 7 is the very best way to answer.

7 + n is not wrong but maybe not wanted.

Fred went to an arcade to play video games. He paid $2 for every 11 tokens he bought. He spent a total of $16 on tokens. Which equation can be used to determine t, the number of tokens Fred bought?

Answers

Answer:

D

Step-by-step explanation:

Since there are two types of values here: tokens and dollars, we will need to use the same value across numerators and denominators in the ratio.

Choice D has 11 tokens over $2 equals to t tokens over $16. In both fractions the numerator is tokens and denominator is dollars.

Write an
equivalent expression using the distributive property.
1/4(4x - 6)

Answers

Answer:

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]

              [tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]

92 divided by the sum of 49 and 36?

Answers

Answer:

92/85

Step-by-step explanation:

which graph represents the inequality x > 15

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

12. The win-loss record for a football team is 15 wins and 9 losses. What percent of their games
did they win?

Answers

Answer:

62.5%

Step-by-step explanation:

if they won 15 and lost 9 games then they played a total of 24 games (15+9).  Then you just divid the number of wins (15) by the total number of games they played (24).  SO, 15/24=0.652 or 62.5%

Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.

Answers

You can solve for the y-intercept by replacing x with 0 and solving for y.

y= x² + 8x + 12
y= (0)² + 8(0) + 12
y= 12

When x= 0, y= 12
(0, 12)

4.5=2c I need help plz

Answers

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Swap the sides > =2c=4.5 then divided both sides c=2.25 there’s ya answer

find the area of a square plot of side 12 cm​

Answers

Answer:

area of a square

= side × side

= 12 × 12

=144cm^2

since it’s a square you do 12X12 which is 144

15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!

Answers

Answer:

t = 10

Step-by-step explanation:

15 = 1.5 × t

15/1.5 = t

10 = t

mark me as brainlist

Write the equation of the line of reflection in the following picture

Answers

Answer:

it is reflected in the x-axis so y=0

(please answer thank you!)

The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.

Answers

Answer:

The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Step-by-step explanation:

Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:

X + X + 1.15 + X + 1.15 = 8.60

3X + 2.30 = 8.60

3X = 8.60 - 2.30

X = 6.30 / 3

X = 2.10

Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Pleaaaaaase help this is due today

What does the statement “ The shortest distance between two points is the straight line between them” have to do with the Triangle Inequality Conjecture?


Do not answer this with one, none, or a ridiculous response please... this is serious

Answers

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81

Answers

Answer:

I believe A?

Step-by-step explanation:

Express 13/3 as mixed fraction​

Answers

Answer:

4*1/3

Step-by-step explanation:

easy we know for each 3/3 == 1

so:

3*4 == 12

1/3 is left over so,

4*1/3

Answer:

the answer is 4 1/3, i recommend using the app mathaway

Factorise
x^2 - 5x - 6

Answers

Answer:

(x+1)(x-6)

thats the ans :)

Which of the following statements are not true about parallelograms?
Select all that apply.

1. The area of a parallelogram is half of the product of its length and width.

2. The angles formed by the diagonals of a parallelogram are complementary to each
other.

3. The diagonals of a parallelogram bisect each other.

4. A diagonal divides a parallelogram into two congruent triangles.

5. Two consecutive angles of a parallelogram are supplementary.

Answers

9514 1404 393

Answer:

  1, 2

Step-by-step explanation:

1. The area of a parallelogram is the product of length and width. The given statement is FALSE.

2. The angles formed by the diagonals are linear pairs, so supplementary. The given statement is FALSE.

3. TRUE

4. TRUE

5. TRUE

__

Statements 1 and 2 are not true.

PLEASE HELP I ATTACHED A PICTURE

Answers

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

Find the pattern and use it to list the next two terms in the sequence.
-3,6,-28,72,-360,2160, ___ ,___

Answers

Answer:

Step-by-step explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

What percentage of 10000 is 1847?

Answers

The answer is 18.47%, if not then I’m sorry

the answer is,

541.42%

I think this is the answer.

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME WILL GIVE BRAILIST

Answers

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto

Answers

Answer:

1 7/12

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

What is the answer for this?

Answers

12+c-2d. Distribute the 4 to everything in the ( ). The multiply and reduced

Solve the formula A=2πrh+2πr2 for h.

Answers

Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

[Subtraction Property of Equality] Subtract 2πr² on both sides:                 A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides:                            (A - 2πr²)/(2πr) = hRewrite/Rearrange:                                                                                        h = (A - 2πr²)/(2πr)

y=−2x+1
x−3y=11 find the solution using elimination.

Answers

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

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