a 6 foot tall man casts a shadow that is 9 ft long. At the same time, a tree nearby casts a 48 ft shadow. how tall is the tree

Answers

Answer 1

Answer:

32 ft tall

Step-by-step explanation:

Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.

SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.

We know the tree's shadow is 48 ft.

--> 48/3 = 16

16 x 2 = 32

32 ft tall

Hope this helps!

Answer 2

Answer: 32ft tall

Step-by-step explanation:


Related Questions

A pair of opposite vertices of a square is (1, 2) and (3,4). Find the coordinates of the remaining
vertices of the square.​

Answers

Answer:

(3, 2) and (1, 4)

Step-by-step explanation:

Plot the two points on a graph.

The other two points are (3, 2) and (1, 4).

To do this with algebra, it takes a few steps.

The diagonals of a square are perpendicular and bisect each other. You are given opposite vertices, so first, find the midpoint of that diagonal.

((1 + 3)/2, (2 + 4)/2) = (2, 3)

The midpoint of the diagonal is (2, 3).

This diagonal has slope 1 and y-intercept 1, so its equation is

y = x + 1

The perpendicular bisector has equation

y = -x + 5

The two vertices we are looking for, lie in a circle whose center is the midpoint of the diagonals, (2, 3), and whose radius is half of the diagonal.

Use Pythagoras to find the diagonal's length.

2^2 + 2^2 = c^2

c^2 = 8

c = sqrt(8) = 2sqrt(2)

Half of the diagonal is sqrt(2). This is the radius if the circle.

The equation of the circle is

(x - 2)^2 + (y - 3)^2 = (sqrt(2))^2

(x - 2)^2 + (y - 3)^2 = 2

The points of intersection of this circle and the second diagonal are the two vertices you are looking for.

System of equations:

(x - 2)^2 + (y - 3)^2 = 2

y = -x + 5

Use substitution and substitute y with -x + 5 in the equation of the circle.

(x - 2)^2 + (-x + 5 - 3)^2 = 2

(x - 2)^2 + (-x + 2)^2 - 2 = 0

x^2 - 4x + 4 + x^2 - 4x + 4 - 2= 0

2x^2 - 8x + 6 = 0

x^2 - 4x + 3 = 0

(x - 3)(x - 1) = 0

x - 3 = 0   or x - 1 = 0

x = 3 or x = 1

Now we find corresponding y values.

y = -x + 5

x = 3

y = -3 + 5 = 2

This gives us (3, 2).

y = -x + 5

x = 1

y = -1 + 5 = 4

This gives us (1, 4).

Answer: (1, 4) and (3, 2)

Please answer quickly i will give you brainliest if its correct- it has to be a simplified fraction please

Answers

Answer:

[tex]\large \boxed{{r=\frac{1}{9}}}[/tex]

Step-by-step explanation:

x and y are proportional.

[tex]y=rx[/tex]

Let x = 45 and y = 5.

[tex]5=r(45)[/tex]

Solve for r (constant of proportionality).

Divide both sides by 45.

[tex]\displaystyle \frac{5}{45} =r[/tex]

Simplify and switch sides.

[tex]\displaystyle r=\frac{1}{9}[/tex]

What is another way to write 100,203 in other forms

Answers

Answer:

You can write in

Step-by-step explanation:

Lakhs

First write 100,203.

Put ones,tens,hundreds,thousands,ten thousands and lakh on top of each number from the extreme left.

This is how you can write 100,203 in another way. You can't write in any other way than this one.

Hope this helps....

Have a nice day!!!!

What is a 27 of the sequence 15, 10,5,...?
A.O
B. -75
c.
1/625
D. -115

Answers

Answer:

B. -75

Step-by-step explanation:

you count backwards from 5, 27 times

HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?

Answers

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.



Evaluate sin^-1 1/2 . Round your answer to the nearest hundredth.

Answers

Answer:

30.00

Step-by-step explanation:

Given the expression [tex]sin^{-1} 1/2[/tex], the following steps must be taken to evaluate the expression.

[tex]Let\ y = sin^{-1}1/2[/tex]

[tex]y = sin^{-1} 0.5[/tex]

From the calculator, the value of y wil give;

[tex]y = 30\\\\y = 30.00 (to\ the \ nearest \ hundredth)[/tex]

Hence [tex]sin^{-1} 0.5 = 30.00[/tex].

Answer:

Step-by-step explanation:

The answer is 0.52

Hope that helped

Where r is the radius of the cylinder and h is the height of the cylinder. Find the surface area when r is 3 inches and h is 5 inches. A. 50π in² B. 112π in² C. 48π in² D. 80π in²

Answers

Answer:

C

Step-by-step explanation:

The surface area of a cylinder is given by this formula:

● Sa = 2×r^2× PI + 2r×Pi×h

r is 3 inches and h is 5 inches.

● Sa = 2×3^2 × Pi + 2×3×Pi×5

● Sa = 48 × Pi in^2

Please help!! Thank you in advance! Will mark Brainliest!

Answers

Answer:

F , D, E

Step-by-step explanation:

The smallest angle is opposite the smallest side

The largest angle is opposite the largest side

DE is smallest so F is smallest

Then EF so D

DF is largest so E is the largest angle

F, D, E

Step by Step

Which of the following statements about fractions is not true? a. Proper fractions have a greater numerator than denominator b. Improper fractions are percentages greater than 100% c. Mixed fractions can be written as improper fractions d. The product of a fraction and its reciprocal is 1

Answers

Answer:

c

Step-by-step explanation:

Answer:

A. Proper fractions have a greater numerator than denominator.

Directions: Using the digits 0 to 9, fill in the boxes so that the chart is accurate. Use each digit only once per blue box and once per red box. Logs are base 10. Please help me out with this would really appreciate it, thanks.

Answers

Step-by-step explanation:

log 10 = 1.  So if log x < 1, then x < 10.  And if log x > 1, then x > 10.

The upper left number is the smallest, and can't be smaller than 1.  If the exponent is 0, we can put any number in the red box.

The fractions in the upper right and lower left need to be as large as possible.  The denominators will be small, and the numerators will be large.

From there, a little trial and error does the rest.  The are many possible answers.  I've included one.

Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

Answers

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

one-third of a number is subtracted from 11.The result is one and half times the original number. what is the number.​

Answers

If 11 is subtracted from 3 times the number, the result is the square of 5 less than the number. What are the set of numbers that satisfy

What is the domain of F(x) = In(x)?

Answers

Answer as an inequality:  [tex]x > 0[/tex]

Answer in interval notation:  [tex](0, \infty)[/tex]

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is [tex]f^{-1}(x) = \log_b(x)[/tex]

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, [tex]\log_b(x)[/tex] has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of [tex]\log_b(x)[/tex] is x > 0 which in interval notation would be [tex](0, \infty)[/tex]. This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

[tex]\log_e(x) = \text{Ln}(x)[/tex]

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

Write your answer in scientific notation.
(6.4 x 10^3 ) + (5.2 x 10^4 )

Answers

Answer:

5.84 x10.^4

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

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.

asap!!
~~~~~~
A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?

Question 25 options:

y = –2x – 13

y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3

y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1

y = 2x + 5

click on picture for a, b, c ,or d

Answers

Answer:

y=−2x−13.

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=−2x−5.

The slope of the parallel line is the same: m=−2.

So, the equation of the parallel line is y=−2x+a.

To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.

Thus, a=−13.

Therefore, the equation of the line is y=−2x−13.

0,2,4,0,2,3,2,8,6

What is the mean?
What is the median?!
What is the first quartile (Q1)?!
What is the third quartile (Q3)?
What is the minimum?
What is the maximum?
What is the interquartile range of the data?!

Answers

Answer:

LOOK BELOW

Step-by-step explanation:

Mean= add all of the numbers together and divide by total amount of

            numbers

            aka=3

Median= put all the numbers in order and find the number in the middle

               aka=2.5

Minimum=0

Maximum=8

This data can only be found using a Box and Whisker Plot....

I can't really explain a box and whisker plot so you have to look that up to understand that..  SRY!!!

------------------------------------

First Quartile=1

Third Quartile=5

Interquartile Range=4

Answer:

Mean= add all of the numbers together and divide by total amount of

           numbers

           aka=3

Median= put all the numbers in order and find the number in the middle

              aka=2.5

Minimum=0

Maximum=8

This data can only be found using a Box and Whisker Plot....

I can't really explain a box and whisker plot so you have to look that up to understand that..  SRY!!!

------------------------------------

First Quartile=1

Third Quartile=5

Interquartile Range=4

Step-by-step explanation:

find the interest rate r when p = 800, a = 2700, and t = 3.​

Answers

Answer:

r = 0.5 or 1/2

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Simply plug in our known variables:

2700 = 800(1 + r)³

Now we solve for r:

Divide both sides by 800

27/8 = (1 + r)³

Take the cube root on both sides

∛27/8 = ∛(1 + r)³

Simplify

3/2 = 1 + r

Subtract 1 on both sides

r = 1/2

r = 0.5

Answer:

For compound interest, 50%.

Step-by-step explanation:

(I'm assuming this question is asking for the compound interest):

The formula for compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Plug in the values we know. We can use 1 for n:

[tex]2700=800(1+r)^3\\27/8=(1+r)^3\\1+r=\sqrt[3]{27/8}\\r=3/2-1\\r=1/2=.5[/tex]

So, the interest rate is 50%.

Enter the coordinates of the point
on the unit circle at the given angle.
60°

Answers

Answer:

(1/2, [tex]\frac{\sqrt{3} }{2}[/tex])

Step-by-step explanation:

Don't totally trust me on this...

x - (-20) = 5 _________________

Answers

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

A company knows that if it sets the price of a product at p dollars, the number of units sold will be x million, where p = 2 - x. If the cost of the product is given by 0.25 + 0.5x million dollars. What price should be set to make a profit of $ 0.25 million?

Answers

Two Answers: p = 1.5 or p = 1

====================================================

Explanation:

x = number of products, in millions, sold

p = price per product

R = revenue

R = (number of products sold)*(price per product)

R = x*p

R = x(2-x)

R = 2x-x^2

C = costs

C = 0.25 + 0.5x

F = profit

F = revenue - costs

F = R - C

F = (2x - x^2) - (0.25 + 0.5x)

F = -x^2 + 1.5x - 0.25

We want a profit of 0.25 million, so plug in F = 0.25 and solve for x

F = -x^2 + 1.5x - 0.25

0.25 = -x^2 + 1.5x - 0.25

0 = -x^2 + 1.5x - 0.25 - 0.25

-x^2 + 1.5x - 0.5 = 0

Use the quadratic formula to find the two solutions to be x = 0.5 and x = 1

If x = 0.5, then p = 2-x = 2-0.5 = 1.5

If x = 1, then p = 2-1 = 1

There are two price points  (p = 1.5 and p = 1) that lead to the same profit F = 0.25

What number must be added to the expression for it to equal zero? (–6.89 + 14.52) + (–14.52)

Answers

Answer:

The number to be added is 6.89

Step-by-step explanation:

Here, we want to know what number must be added to the expression to make it equal to zero.

Let the number be x

Thus;

-6.89 + 14.52 -14.52 + x = 0

-6.89 + x = 0

x = 6.89

state the vertical distance and horizontal distance of the two pairs of points given.​

Answers

Answer:

the horizontal distance is the x-intercept, and the vertical distance is the y-intercept

1) x-int=1, y-int=1

2) x-int=6, y-int=5

Order the expressions from least to greatest.
2^3 - 2^1 , 2^1 + 3^1 , 3^2

Answers

Answer:

2¹ + 3¹, 2³ - 2¹, 3²

Step-by-step explanation:

2³ - 2¹ = 8 - 2 = 6

2¹ + 3¹ = 2 + 3 = 5

3² = 9

PLEASE ANSWER QUICKLY ASAP
READ THE QUESTIONS CAREFULLY​

Answers

Answer:

I hope it helps.

The solutions in photo ^_^

If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?

Answers

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

Answer:

$809.92

Step-by-step explanation:

(see attached for reference)

Recall that the formula for compound interest (compounded continuously) is

A = P e^(rt)

where,

A = final amount (we are asked to find this)

P = principal = given as $600

r = interest rate = 5% = 0.05

t = time = 6 years

e = 2.71828 (mathematical constant)

Substituting the known values into the equation:

A = P e^(rt)

= 600 e^(0.05 x 6)

= 600 (2.71828)^(0.30)

= $809.92

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Answers

Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

Make the biggest possible number using the digits below only once 4 , 5 , 5 answer

Answers

Answer:

554

Step-by-step explanation:

The largest number (5) should go in the hundreds place, the second-largest number (also 5) should go in the tens place and the smallest number (4) should go in the units place so the answer is 554.

Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm35, start text, space, c, m, end text. What is the distance the hula hoop rolls in 444 full rotations?

Answers

Answer: 880 cm

Step-by-step explanation:

Given: Radius of the hula hoop = 35 cm

Hula hoop is  circular in shape

Then, Circumference = [tex]2\pi r[/tex] , where r = radius

Now , Circumference of hula hoop = [tex]2\times \dfrac{22}{7}\times35=220\ cm[/tex]

Now , the distance the hula hoop rolls in 4 full rotations = 4 × (Circumference of hula hoop)

[tex]= 4 \times 220=880\ cm[/tex]

Hence, the required distance = 880 cm

Answer:

880

Step-by-step explanation:

I have no chair, no church, no philosophy, I lead no man to a dinner-table, library, exchange, But each man and each woman of you I lead upon a knoll, My left hand hooking you round the waist, My right hand pointing to landscapes of continents and the public road. Which statement best describes how these lines reflect the theme of the poem?

Answers

This question is missing the options, here is the complete question:

Read the quotation from "Song of Myself."

I have no chair, no church, no philosophy,

I lead no man to a dinner-table, library, exchange,

But each man and each woman of you I lead upon a knoll,

My left hand hooking you round the waist,

My right hand pointing to landscapes of continents and the public road.

Which statement best describes how these lines reflect the theme of the poem?

A. They indicate that Whitman is more interested in communicating with individuals than society.

B. They show Whitman’s sociability and his interest in human nature.

C. They reflect Whitman’s desire to share his love of the wilderness.

D. They suggest that Whitman views all individuals as equals who should communicate with each other as such.

The answer to this question is A. They indicate that Whitman is more interested in communicating with individuals than society.

Explanation:

In the poem "Song of Myself", Walt Whitman focuses on recognizing his value as an individual and the value of other individuals in society. In the section presented, the author shows the importance of communicating and interacting with individuals as he explains "My left hand hooking you round the waist", which shows through figurative language the interaction between individuals. This is emphasized by the use of "each man and each woman" as Whitman does not refer to others as a group but recognizes individuality. Thus, the theme or message about the importance of individuals is reflected in these lines because "they indicate that Whitman is more interested in communicating with individuals than society."

Answer:

A: They indicate that Whitman is more interested in communicating with individuals than society.

Step-by-step explanation:

Edge 2021

Consider f(x) = 3x2 + 4 and g(x) = 2x − 3. Which statements about f + g are true? Select all that apply. A. The domain is all real numbers. B. The range is all real numbers. C. It is a linear function. D. It is a quadratic function.

PLEASE HELP

Answers

Answer:

B. The range is all real numbers. D. It is a quadratic function.

Step-by-step explanation:

Given the functions  f(x) =  3x² + 4 and g(x) = 2x − 3, to know that statements that is  true about f+g, we will need to add the functions together first.

f(x)+g(x) = 3x² + 4 + 2x - 3

f(x)+g(x) = 3x²+2x +4 - 3

f(x)+g(x)  = 3x²+2x + 1

The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.

Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.

Hence the correct statements are 'the range is all real numbers and it is a quadratic function'

Answer:

B AND D

Step-by-step explanation:

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